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U4L3 Isosceles and Equilateral Triangles Notes
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Name: Topic: Main Ideas/Questions 1. ISOSCELES Friangles 4. A 6. K 2 (5x + 9) B 68 Directions: Find each measure. m<J = 108° m²K = 44° 3 (&x-30)* 15x+7 C 23x-17 Notes/Examples Parts of an Isosceles Triangle: • The two congruent sides are called legs Isosceles Triangle Theorem • The angle where the legs intersect is called the • The side opposite the vertex angle is called the • The angles along the base are called base Converse of the Isosceles Triangle Theorem L Directions: Find the value of each variable. 5x+q = 8X-30 39=3x X=13 2. с D 106* 15x+7=23X-17 24 = 8X |3=X 5. Date: angles. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. If AB = CB, then <A = LC. Ex: m/C= 37° m/E= 37° Class: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. If <A = <C, then AB ≈ CB. Ex: E (4x+7) 7. 74* 9x-73 3. X Vertex base (9x-33)* 3x + 23 12 cm 77* 77* Z angle Y YZ = 12cm m2Y = 26 4x+1=9x-33 HO-5X 8=X 9x-73=3x+23 6x = 96 X=16 Gina Wilson (All Things Algebra, LLC), 2014-2020 8. In ARST, if RT=ST, m/R = (9x + 2), m/S= (13x-18), and m<T= (17x + 1), find x and the measure of each angle. S 9. In ADEF, if ZD each side. F EQUILATERAL Friangles 9 ft P /60° E 10. In AWXY, if WX =WY, m/W = (x + 6)*, m/X = (5x-12), and m2Y = (7x-48), find x and the measure of each angle. W Y B Find each missing measure. 11. 60° 9X+2=13x-18 20= 4x 5=X ZE, DE=x+4, EF = 4x-8, and DF = 7x-35, find x and the measure of C R 7X-35=4X-8 3x=27 X=9 9y+1 11y-23 (7x-3)* 5x-12 = 7x-48 36 = 2x 18=X A triangle is equilateral...
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Alternative transcript:
if and only if it is equiangular! A 13. If APQR is an equilateral triangle, solve for x and y. 14y-59 7X-3=60 7X=63 X=9 If mA=mZB=mZC, then AB BC = CA. If AB = BC = AC, then_m<A = m <B = mcc. mzc= 60° BC= 9ft AC = 9ft 12. J K 24 cm = x = 5 mZR= 47 m²s = 47° m/T=_86' L x = DE = EF = 14y-59 = 9y+1 5y = 60 y=12 13 28 DF= 28 18 24° m<W = m<X= 78° m2Y= 18 9 B m²J = _40° m2K = 60° m²l = 40" Ⓒ Gina Wilson (All Things Algebra, LLC), 2014-2020
U4L3 Isosceles and Equilateral Triangles Notes
U4L3 Isosceles and Equilateral Triangles Notes
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Name: Topic: Main Ideas/Questions 1. ISOSCELES Friangles 4. A 6. K 2 (5x + 9) B 68 Directions: Find each measure. m<J = 108° m²K = 44° 3 (&x-30)* 15x+7 C 23x-17 Notes/Examples Parts of an Isosceles Triangle: • The two congruent sides are called legs Isosceles Triangle Theorem • The angle where the legs intersect is called the • The side opposite the vertex angle is called the • The angles along the base are called base Converse of the Isosceles Triangle Theorem L Directions: Find the value of each variable. 5x+q = 8X-30 39=3x X=13 2. с D 106* 15x+7=23X-17 24 = 8X |3=X 5. Date: angles. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. If AB = CB, then <A = LC. Ex: m/C= 37° m/E= 37° Class: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. If <A = <C, then AB ≈ CB. Ex: E (4x+7) 7. 74* 9x-73 3. X Vertex base (9x-33)* 3x + 23 12 cm 77* 77* Z angle Y YZ = 12cm m2Y = 26 4x+1=9x-33 HO-5X 8=X 9x-73=3x+23 6x = 96 X=16 Gina Wilson (All Things Algebra, LLC), 2014-2020 8. In ARST, if RT=ST, m/R = (9x + 2), m/S= (13x-18), and m<T= (17x + 1), find x and the measure of each angle. S 9. In ADEF, if ZD each side. F EQUILATERAL Friangles 9 ft P /60° E 10. In AWXY, if WX =WY, m/W = (x + 6)*, m/X = (5x-12), and m2Y = (7x-48), find x and the measure of each angle. W Y B Find each missing measure. 11. 60° 9X+2=13x-18 20= 4x 5=X ZE, DE=x+4, EF = 4x-8, and DF = 7x-35, find x and the measure of C R 7X-35=4X-8 3x=27 X=9 9y+1 11y-23 (7x-3)* 5x-12 = 7x-48 36 = 2x 18=X A triangle is equilateral...
Name: Topic: Main Ideas/Questions 1. ISOSCELES Friangles 4. A 6. K 2 (5x + 9) B 68 Directions: Find each measure. m<J = 108° m²K = 44° 3 (&x-30)* 15x+7 C 23x-17 Notes/Examples Parts of an Isosceles Triangle: • The two congruent sides are called legs Isosceles Triangle Theorem • The angle where the legs intersect is called the • The side opposite the vertex angle is called the • The angles along the base are called base Converse of the Isosceles Triangle Theorem L Directions: Find the value of each variable. 5x+q = 8X-30 39=3x X=13 2. с D 106* 15x+7=23X-17 24 = 8X |3=X 5. Date: angles. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. If AB = CB, then <A = LC. Ex: m/C= 37° m/E= 37° Class: If two angles of a triangle are congruent, then the sides opposite those angles are congruent. If <A = <C, then AB ≈ CB. Ex: E (4x+7) 7. 74* 9x-73 3. X Vertex base (9x-33)* 3x + 23 12 cm 77* 77* Z angle Y YZ = 12cm m2Y = 26 4x+1=9x-33 HO-5X 8=X 9x-73=3x+23 6x = 96 X=16 Gina Wilson (All Things Algebra, LLC), 2014-2020 8. In ARST, if RT=ST, m/R = (9x + 2), m/S= (13x-18), and m<T= (17x + 1), find x and the measure of each angle. S 9. In ADEF, if ZD each side. F EQUILATERAL Friangles 9 ft P /60° E 10. In AWXY, if WX =WY, m/W = (x + 6)*, m/X = (5x-12), and m2Y = (7x-48), find x and the measure of each angle. W Y B Find each missing measure. 11. 60° 9X+2=13x-18 20= 4x 5=X ZE, DE=x+4, EF = 4x-8, and DF = 7x-35, find x and the measure of C R 7X-35=4X-8 3x=27 X=9 9y+1 11y-23 (7x-3)* 5x-12 = 7x-48 36 = 2x 18=X A triangle is equilateral...
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Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
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SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
if and only if it is equiangular! A 13. If APQR is an equilateral triangle, solve for x and y. 14y-59 7X-3=60 7X=63 X=9 If mA=mZB=mZC, then AB BC = CA. If AB = BC = AC, then_m<A = m <B = mcc. mzc= 60° BC= 9ft AC = 9ft 12. J K 24 cm = x = 5 mZR= 47 m²s = 47° m/T=_86' L x = DE = EF = 14y-59 = 9y+1 5y = 60 y=12 13 28 DF= 28 18 24° m<W = m<X= 78° m2Y= 18 9 B m²J = _40° m2K = 60° m²l = 40" Ⓒ Gina Wilson (All Things Algebra, LLC), 2014-2020