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Core Connections Integrated II, 2015

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Core Connections Integrated II, 2015 View details

3. Section 2.3

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Exercise 95 Page 121

A reflection is a rigid motion which means angle measures are preserved.

m∠ y= 48^(∘)
m∠ z= 48^(∘)

Practice makes perfect

Notice that x and y are vertical angles which means they are congruent by the Vertical Angles Congruence Theorem.

To find z, we note that the colored lines below are reflections of each other. Since a reflection is a rigid motion, angle measures are preserved which means z and y are congruent angles.

With this, we can identify all the angle measures. x=y=z= 48^(∘)

Subchapter links

2.3.1 Conditions for Triangle Similarity p.114-117

2.3.2 Determining Similar Triangles p.121-122

2.3.3 Applying Similarity p.125-126

2.3.4 Similar Triangle Proofs p.131-132