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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

4. Proving Statements about Segments and Angles

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Exercise 43 Page 476

Consider the Transitive Property of Angle Congruence.

Equilateral triangle, see solution.

Practice makes perfect

Let's consider the first statement. ∠ 1 ≅ ∠ 2 This tells us that ∠ 1 and ∠ 2 are congruent angles. According to the definition of congruent angles, they are equal in size.

Let's look at the second statement. ∠ 2 ≅ ∠ 3 This tells us that ∠ 2 and ∠ 3 are congruent. According to the definition of congruent angles, they are equal in size. Using the Transitive Property of Angle Congruence, we know that ∠ 1 and ∠ 3 are congruent as well.

Therefore, we know that this triangle is an equilateral triangle.

Subchapter links

Communicate Your Answer p.467

Monitoring Progress p.468-472

Exercises p.473-476