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 10 Page 616

Consider the Base Angles Theorem.

If XZ ≅ XY, then ∠XZY ≅ ∠ZYX
Base Angles Theorem

Practice makes perfect

The given statement, XZ≅ XY, tells us that these sides are congruent. Let's add this to the diagram.

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

We can use this to complete the if-then statement. If XZ ≅ XY, then ∠XZY ≅ ∠ZYX.