Unit 1, Lesson 10

One Hundred Eighty

$Course Icon$

Integrated Math 2

Practice

Problem 1
Student Task Statement
The triangles here are each obtained by applying rigid motions to Triangle 1.

21 congruent triangle. 3 rows of 7 triangles, labeled one through 15. Odd numbered triangles point upwards, even numbered triangles point downwards. Top row has labels 9 through 15, middle row has labels 5 through 11, bottom row has labels 1 through 7.

Which triangles are translations of Triangle 1? Explain how you know.

Which triangles are not translations of Triangle 1? Explain how you know.
to access Practice Problem Solutions.
Problem 2
Student Task Statement

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

to access Practice Problem Solutions.
Problem 3
ForLesson 9: Transformations, Transversals, and Proof
Student Task Statement
In the figure shown, lines and are parallel. Select the angle that is congruent to Angle 1.

Angle 2

Angle 6

Angle 7

Angle 8
to access Practice Problem Solutions.
Problem 4
ForLesson 9: Transformations, Transversals, and Proof
Student Task Statement
Angle is congruent to angle . Name another pair of congruent angles. Explain how you know.

Horizontal line segment m passes through points D and E. Horizontal line segment l passes through points A and C. Diagonal line A B passes through point D. Diagonal line B C passes through point E.

to access Practice Problem Solutions.
Problem 5
ForLesson 9: Transformations, Transversals, and Proof
Student Task Statement
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.
to access Practice Problem Solutions.
Problem 6
ForLesson 7: Evidence, Angles, and Proof
Student Task Statement
Lines and meet at point .

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

A 180-degree clockwise rotation using center takes to .

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 .
to access Practice Problem Solutions.
Problem 7
ForLesson 7: Evidence, Angles, and Proof
Student Task Statement
Points , , and are collinear. Explain why points , , and are collinear.

to access Practice Problem Solutions.

Lesson | Practice | Loading...

Practice

Problem 1

Student Task Statement

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

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

to access Practice Problem Solutions.

Problem 2

Student Task Statement

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>

to access Practice Problem Solutions.

Problem 3

ForLesson 9: Transformations, Transversals, and Proof

Student Task Statement

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

to access Practice Problem Solutions.

Problem 4

ForLesson 9: Transformations, Transversals, and Proof

Student Task Statement

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

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

to access Practice Problem Solutions.

Problem 5

ForLesson 9: Transformations, Transversals, and Proof

Student Task Statement

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.

to access Practice Problem Solutions.

Problem 6

ForLesson 7: Evidence, Angles, and Proof

Student Task Statement

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 .
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 .

to access Practice Problem Solutions.

Problem 7

ForLesson 7: Evidence, Angles, and Proof

Student Task Statement

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>

to access Practice Problem Solutions.

One Hundred Eighty

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Lesson 10 Resources

Lesson | Practice | Loading...

Navigation

Gradeband

Course

Unit

Lesson

Settings

Audience

Assessment Access

One Hundred Eighty

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Lesson 10 Resources