2.7 Prove Angle Pair Relationships. Objectives. Write proofs involving supplementary and complementary angles Write proofs involving congruent and right angles. Theorems & Postulates. Theorem 2.3 (Right Angles Theorem) All right angles are congruent.
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
2.7 Prove Angle Pair Relationships
Vertical angles are congruent.
In the figure, form a linear pair, and Prove that are congruent.
Given: form a linear pair.
2. Linear pairs are supplementary.
3. Definition of supplementary angles
4. Subtraction Property
6. Definition of congruent angles
1 & 4 linear pair;
In the figure, NYR and RYA form a linear pair,AXY and AXZ form a linear pair, and RYA and AXZ are congruent. Prove that RYN and AXYare congruent.
2.If two s form a linear pair, then they are suppl. s.
If 1 and 2are vertical angles and m1 andm2 find m1 and m2.
Vertical Angles Theorem
Definition of congruent angles
Add 2d to each side.
Add 32 to each side.
Divide each side by 3.
Answer: m1 = 37 and m2 = 37
If and are vertical angles and
Answer: mA= 52; mZ= 52
form a linear pair and
are complementary angles and .
#3 - 29, 38, 42, 46