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9-12 Geometry Unit 1 Lesson 12

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

Unit

•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

Modeling Prompts

Lesson

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 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

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Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Lesson 22

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Unit 1, Lesson 12

Defining Translations

Geometry

Practice

Problem 1
Student Task Statement
Match each directed line segment with the translation from Polygon to Polygon by that directed line segment.

Translation 1

Translation 2

Translation 3

Translation 4

Translation 1
Translation 2
Translation 3
Translation 4

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Problem 2

Student Task Statement

Draw the image of quadrilateral when translated by the directed line segment . Label the image of as , the image of as , the image of as , and the image of as .

<p>Quadrilateral A B C D on an isometric grid. B is aligned vertically above D. Side C D is 2 units long. Directed line segment, v, points up and to the right, but more right than up.</p>

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Problem 3

Student Task Statement

Which statement is true about a translation?

A translation takes a line to a parallel line or to itself.
A translation takes a line to a perpendicular line.
A translation requires a center of translation.
A translation requires a line of translation.

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Problem 4

ForLesson 11: Defining Reflections

Student Task Statement

Select all the points that stay in the same location after being reflected across line .

<p>Line L, facing upward and to the right, goes through Points C and E. Points A, B and D sit to the left of the line.</p>

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Problem 5

ForLesson 11: Defining Reflections

Student Task Statement

Lines and are perpendicular. A point has this property: Rotating 180 degrees using center has the same effect as reflecting over line .

<p>Perpendicular lines L and M, intersecting at point P. L is horizontal, m is vertical.</p>

Give two possible locations of .
Do all points in the plane have this property?

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Problem 6

ForLesson 10: Rigid Transformations

Student Task Statement

There is a sequence of rigid transformations that takes to , to , and to . The same sequence takes to . Draw and label :

<p>Triangles A B C and A prime B prime C prime. Point D is located on side B C.</p>

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Problem 7

ForLesson 6: Construction Techniques 4: Parallel and Perpendicular Lines

Student Task Statement

Two distinct lines and are each perpendicular to the same line .

What is the measure of the angle where line meets line ?
What is the measure of the angle where line meets line ?

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Lesson 12 Resources

Student Materials