Vertical Angles
The final page introduces the concept of vertical angles, completing the trio of angle relationships covered in this lesson. This section is crucial for solving vertical angles equations and understanding their properties.
Definition: Vertical angles are angles that are equal to each other when two lines intersect.
Vocabulary: The term "congruent" is introduced, meaning equal in the context of geometry.
The page provides a visual representation of vertical angles, showing two pairs of vertical angles formed by intersecting lines. It illustrates that when two lines intersect, the opposite angles are always equal.
Example: An example is given to solve for x in a vertical angle scenario. While the full solution is not provided in the transcript, it demonstrates how to set up the equation using the property of vertical angles being equal.
Highlight: The key takeaway from this section is that vertical angles are always congruent equal, which is a fundamental principle in geometry that students will use in more complex problems and proofs.
This concise yet informative page on vertical angles completes the lesson on angle relationships, providing students with a comprehensive understanding of complementary, supplementary, and vertical angles.