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Triangle Congruence and Similarity Theorems
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Jan 7, 2026
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Adeline Tse
@aliwormie
Welcome to the essential vocabulary guide for understanding the U.S.... Show more






Ever wonder how Congress actually works? Let's start with some fundamental concepts. The U.S. has a bicameral legislature with two chambers (House and Senate), and both play different roles in governing.
When the President appoints officials, the Senate provides advice and consent by reviewing and voting on these nominations. States receive representatives through apportionment, which assigns congressional seats based on population. The landmark case Baker v. Carr established the "one person, one vote" principle, ruling that disproportionate legislative districts were justiciable issues.
Congressional groups often work together in a caucus, uniting members with similar interests. Committee decisions are guided by a committee chair who oversees specific areas of responsibility. When bills need reconciliation between House and Senate versions, a temporary conference committee forms to resolve differences.
Thinking Deeper: Understanding how representatives view their role is key! A delegate role means officials vote according to constituents' wishes, even if it contradicts their personal beliefs. This directly affects how your voice is represented in government.

Money matters in government! The federal budget includes discretionary spending (adjustable expenses like defense and education) and mandatory spending (required programs like Social Security). When spending exceeds revenue, we have a budget deficit; when revenue exceeds spending, we have a surplus.
A divided government occurs when different parties control different branches, often leading to gridlock where legislation stalls due to partisan disagreement. By contrast, unified government happens when one party controls both executive and legislative branches, typically enabling more efficient policymaking.
Entitlement programs provide benefits to eligible groups (like Social Security or unemployment insurance), while earmarks direct spending to specific projects. Congress has oversight responsibility to monitor the executive branch through hearings and investigations.
Real Impact: Notice how gerrymandering (manipulating district boundaries) affects election outcomes! This practice can create "safe seats" for incumbents and dilute voting power of certain groups. This directly impacts who represents you and your community.

Congress has both enumerated powers (explicitly stated in the Constitution) and implied powers (derived from the Necessary and Proper Clause). These powers form the foundation of congressional authority.
The Senate has unique procedures like the filibuster, where a senator speaks continuously to delay or prevent voting on legislation. To end a filibuster, the Senate needs 60 votes through a cloture rule. Senators can also place a hold to temporarily block consideration of nominations or legislation.
Representatives enjoy certain privileges, including the franking privilege which allows them to send mail to constituents for free. The lame duck period (between November elections and January inaugurations) is when outgoing officials still hold office but have reduced political influence.
Practical Politics: Logrolling is when lawmakers trade votes ("I'll support your bill if you support mine"). This practice shows that politics often involves compromise and negotiation rather than purely ideological decisions. This helps explain why some seemingly unrelated issues get bundled together!

Leadership positions are crucial in Congress. The Speaker of the House leads the House of Representatives, while the President Pro Tempore presides over the Senate when the Vice President is absent. Each party has a Majority Leader and Minority Leader who coordinate their party's legislative agenda.
A bill's sponsor introduces legislation, which may go to standing committees (permanent groups organized by policy area) or select committees (temporary groups formed for specific investigations). During a mark-up session, committee members revise the bill before sending it to the full chamber.
Representation can vary significantly between districts. Majority-minority districts have racial/ethnic minority groups as the voting majority. Safe districts consistently vote for one party, while swing districts (or battleground districts) are competitive between parties.
Democracy Check: For Congress to conduct official business, a quorum (minimum number of members) must be present. This ensures decisions represent adequate participation, though sometimes strategic absences can be used to block action on controversial issues.

The Seventeenth Amendment changed how senators are elected—from state legislature appointment to direct popular vote. Another important court case, Shaw v. Reno, ruled against racial gerrymandering in electoral districts.
Congress uses various types of resolutions: concurrent resolutions express opinions of both chambers; joint resolutions function like bills and require presidential approval; and simple resolutions address matters affecting only one chamber.
Representatives adopt different approaches to their role: the trustee role means using personal judgment regardless of public opinion, while the politico role balances constituent demands with personal judgment. Party discipline is enforced by the whip, who ensures members vote with their party on important legislation.
Power Centers: The Ways and Means Committee is one of the most powerful committees in Congress, handling taxes, tariffs, and Social Security. Getting on this committee gives representatives significant influence over national economic policy.
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
App Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
homepage/newPositiveReviewText6
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
homepage/newPositiveReviewText6
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
Adeline Tse
@aliwormie
Welcome to the essential vocabulary guide for understanding the U.S. Legislative Branch! These terms are crucial for making sense of how Congress works, from the creation of laws to the structure of government power. Knowing these concepts will help you... Show more

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Ever wonder how Congress actually works? Let's start with some fundamental concepts. The U.S. has a bicameral legislature with two chambers (House and Senate), and both play different roles in governing.
When the President appoints officials, the Senate provides advice and consent by reviewing and voting on these nominations. States receive representatives through apportionment, which assigns congressional seats based on population. The landmark case Baker v. Carr established the "one person, one vote" principle, ruling that disproportionate legislative districts were justiciable issues.
Congressional groups often work together in a caucus, uniting members with similar interests. Committee decisions are guided by a committee chair who oversees specific areas of responsibility. When bills need reconciliation between House and Senate versions, a temporary conference committee forms to resolve differences.
Thinking Deeper: Understanding how representatives view their role is key! A delegate role means officials vote according to constituents' wishes, even if it contradicts their personal beliefs. This directly affects how your voice is represented in government.

Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Money matters in government! The federal budget includes discretionary spending (adjustable expenses like defense and education) and mandatory spending (required programs like Social Security). When spending exceeds revenue, we have a budget deficit; when revenue exceeds spending, we have a surplus.
A divided government occurs when different parties control different branches, often leading to gridlock where legislation stalls due to partisan disagreement. By contrast, unified government happens when one party controls both executive and legislative branches, typically enabling more efficient policymaking.
Entitlement programs provide benefits to eligible groups (like Social Security or unemployment insurance), while earmarks direct spending to specific projects. Congress has oversight responsibility to monitor the executive branch through hearings and investigations.
Real Impact: Notice how gerrymandering (manipulating district boundaries) affects election outcomes! This practice can create "safe seats" for incumbents and dilute voting power of certain groups. This directly impacts who represents you and your community.

Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Congress has both enumerated powers (explicitly stated in the Constitution) and implied powers (derived from the Necessary and Proper Clause). These powers form the foundation of congressional authority.
The Senate has unique procedures like the filibuster, where a senator speaks continuously to delay or prevent voting on legislation. To end a filibuster, the Senate needs 60 votes through a cloture rule. Senators can also place a hold to temporarily block consideration of nominations or legislation.
Representatives enjoy certain privileges, including the franking privilege which allows them to send mail to constituents for free. The lame duck period (between November elections and January inaugurations) is when outgoing officials still hold office but have reduced political influence.
Practical Politics: Logrolling is when lawmakers trade votes ("I'll support your bill if you support mine"). This practice shows that politics often involves compromise and negotiation rather than purely ideological decisions. This helps explain why some seemingly unrelated issues get bundled together!

Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Leadership positions are crucial in Congress. The Speaker of the House leads the House of Representatives, while the President Pro Tempore presides over the Senate when the Vice President is absent. Each party has a Majority Leader and Minority Leader who coordinate their party's legislative agenda.
A bill's sponsor introduces legislation, which may go to standing committees (permanent groups organized by policy area) or select committees (temporary groups formed for specific investigations). During a mark-up session, committee members revise the bill before sending it to the full chamber.
Representation can vary significantly between districts. Majority-minority districts have racial/ethnic minority groups as the voting majority. Safe districts consistently vote for one party, while swing districts (or battleground districts) are competitive between parties.
Democracy Check: For Congress to conduct official business, a quorum (minimum number of members) must be present. This ensures decisions represent adequate participation, though sometimes strategic absences can be used to block action on controversial issues.

Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
The Seventeenth Amendment changed how senators are elected—from state legislature appointment to direct popular vote. Another important court case, Shaw v. Reno, ruled against racial gerrymandering in electoral districts.
Congress uses various types of resolutions: concurrent resolutions express opinions of both chambers; joint resolutions function like bills and require presidential approval; and simple resolutions address matters affecting only one chamber.
Representatives adopt different approaches to their role: the trustee role means using personal judgment regardless of public opinion, while the politico role balances constituent demands with personal judgment. Party discipline is enforced by the whip, who ensures members vote with their party on important legislation.
Power Centers: The Ways and Means Committee is one of the most powerful committees in Congress, handling taxes, tariffs, and Social Security. Getting on this committee gives representatives significant influence over national economic policy.
Our AI companion is specifically built for the needs of students. Based on the millions of content pieces we have on the platform we can provide truly meaningful and relevant answers to students. But its not only about answers, the companion is even more about guiding students through their daily learning challenges, with personalised study plans, quizzes or content pieces in the chat and 100% personalisation based on the students skills and developments.
You can download the app in the Google Play Store and in the Apple App Store.
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
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Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
All about the legislative branch in the United States congress
A comprehensive list of all 50 U.S. states and their respective capital cities that you can use to study for you’re next geography test!
App Store
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
homepage/newPositiveReviewText6
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
homepage/newPositiveReviewText6
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user