Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
4. Proving Statements about Segments and Angles
Continue to next subchapter

Exercise 32 Page 475

Use color-coding to understand what is happening.

Transitive Property of Angle Congruence.

Practice makes perfect
From the first part of the statement, we know that ∠ L and ∠ M are congruent, and we also know that ∠ M and ∠ N are congruent. Since both ∠ L and ∠ N are congruent with ∠ M, we can say that ∠ L and ∠ N are congruent.

If ∠ L≅ ∠ Mand ∠ M ≅ ∠ N, then ∠ L ≅ ∠ N Since we are working with angles, this is known as the Transitive Property of Angle Congruence.