Unit 5, Lesson 3

Types of Transformations

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Integrated Math 1

Practice

Problem 1

Complete the table, and determine the rule for this transformation.

input	output

Practice

Problem 2

Write a rule that describes this transformation.

original figure	image

Problem 3

Select all the transformations that produce congruent images.

dilation
horizontal stretch
reflection
rotation
translation

Problem 4

ForLesson 2: Transformations as Functions

Here are some transformation rules. For each transformation, first predict what the image of triangle will look like. Then compute the coordinates of the image and draw it.

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

Problem 5

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 .

Describe a single transformation that 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>

Problem 6

ForLesson 2: Constructing Patterns

In the construction, is the center of one circle, and is the center of the other.

<p>Two circles, centered at A and B, each pass through the center of the other and intersect at C and D. Line AB extends horizontally across both circles. Radii AC, BC, AD and BD form rhombus ACBD.</p>

Explain why segments , , , , and have the same length.

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Types of Transformations

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6