Unit 5, Lesson 2

Transformations as Functions

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Integrated Math 1

Practice

Problem 1

Match each coordinate rule to a description of its resulting transformation.

Practice

Translate by the directed line segment from to .
Translate by the directed line segment from to .
Dilate using the origin as the center and a scale factor of 2.
Translate by the directed line segment from to .
Translate by the directed line segment from to .

Problem 2

Draw the image of triangle under the transformation . Label the result .
Draw the image of triangle under the transformation . Label the result .

<p>Triangle ABC. A at 2 comma 3, B at 4 comma 2, C at 3 comma 5.</p>

Problem 3

Here are some transformation rules. For each rule, describe whether the transformation is a rigid motion, a dilation, or neither.

Problem 4

ForLesson 1: Rigid Transformations in a Plane

Reflect triangle over the line . Call this new triangle . Then reflect triangle over the line . Call the resulting triangle .

Which single transformation takes to ?

<p>Triangle ABC graphed on coordinate plane. A at 1 comma 1, B at 2 comma -1, C at 3 comma 0.</p>

Translate triangle by the directed line segment from to .

Problem 5

ForLesson 1: Rigid Transformations in a Plane

Reflect triangle over the line .

Translate the image by the directed line segment from to .

What are the coordinates of the vertices in the final image?

<p>triangle ABC graphed. A = -5 comma 2, B = -6 comma -1, C = -3 comma 0.</p>

Problem 6

ForLesson 1: Congruent Parts, Part 1

Reflect square across line . What is the ratio of the length of segment to the length of segment ? Explain or show your reasoning.

Reflect triangle across the line .

Rotate triangle counterclockwise using the origin as the center by 180 degrees.

Dilate triangle using the origin as the center and a scale factor of 2.

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Transformations as Functions

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6