Unit 1, Lesson 7

Evidence, Angles, and Proof

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Integrated Math 2

Practice

What is the measure of angle $ABE$?

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Select all true statements about the figure.

$c + b = d + c$
$d + b = 180$
Rotate clockwise by angle $ABC$ using center $B$. Then angle $CBD$ is the image of angle $ABE$.
Rotate 180 degrees using center $B$. Then angle $CBD$ is the image of angle $EBA$.
Reflect across the angle bisector of angle $ABC$. Then angle $CBD$ is the image of angle $ABE$.
Reflect across line $CE$. Then angle $CBD$ is the image of angle $EBA$.

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Point $D$ is rotated 180 degrees using $B$ as the center. Explain why the image of $D$ must lie on the ray $BA$.

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Triangle $ABC$ has two known side lengths Side $AB$ is 10 cm long and side $BC$ is 9 cm long. Describe the possible lengths for side $AC$.

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Find the value of $x$.

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