Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
1-4. Quiz
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Exercise 12 Page 616

If ∠ XYZ ≅ ∠ ZXY, then XZ ≅ ZY
Converse of the Base Angles Theorem

Practice makes perfect

The given statement, ∠ XYZ≅ ∠ ZXY, tells us that these angles are congruent. Let's add this to the diagram.

According to the Converse of the Base Angles Theorem, if two angles of a triangle are congruent, then the sides opposite them are congruent.

We can use this to complete the if-then statement. If ∠ XYZ ≅ ∠ ZXY, then XZ ≅ ZY.