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9-12 Integrated Math 2 Unit 1 Lesson 10

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 •Integrated Math 2 Integrated Math 3

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 •Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14

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Unit 1, Lesson 10

One Hundred Eighty

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Integrated Math 2

Practice

Problem 1

The triangles here are each obtained by applying rigid motions to Triangle 1.

<p>21 congruent triangle.</p>

Which triangles are translations of Triangle 1? Explain how you know.
Which triangles are not translations of Triangle 1? Explain how you know.

Problem 2

The quadrilateral is a parallelogram. Find the measure of angles 1, 2, and 3.

<p>A parallelogram with angle markings. Angle 1 in top left, Angle 2 in top right, 80 degrees in bottom left, and Angle 3 in bottom right.</p>

Problem 3

ForLesson 9: Transformations, Transversals, and Proof

In the figure shown, lines and are parallel. Select the angle that is congruent to Angle 1.

<p>Parallel lines f and g cut by a transversal, creating angles 1, 2, 3 and 4 at intersection of lines g and transversal, and creating angles 5, 6, 7 and 8 at intersection of lines f and transversal.</p>

Angle 2
Angle 6
Angle 7
Angle 8

Problem 4

ForLesson 9: Transformations, Transversals, and Proof

Angle is congruent to angle . Name another pair of congruent angles. Explain how you know.

<p>Triangle and two horizontal line segments.</p>

Problem 5

ForLesson 9: Transformations, Transversals, and Proof

Describe a transformation that could be used to show that corresponding angles are congruent.
Describe a transformation that could be used to show that alternate interior angles are congruent.

Problem 6

ForLesson 7: Evidence, Angles, and Proof

Lines and meet at point .

Which of these must be true? Select all that apply.

<p>Lines AD and EC intersect at point B.</p>

A 180-degree clockwise rotation using center takes to .

Problem 7

ForLesson 7: Evidence, Angles, and Proof

Points , , and are collinear. Explain why points , , and are collinear.

<p>Lines AD and EC intersect at point B. Angles ABE and CBD are 30 degrees.</p>

The image of after a 180-degree rotation using center lies on ray .

If a 180-degree rotation using center takes to , then it also takes to .

Angle is congruent to angle .

Angle is congruent to angle .