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IM Geo.6.3 Practice: Types of Transformations

Complete the table and determine the rule for this transformation.

Write a rule that describes this transformation.

Select all the transformations that produce congruent images.

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  • A
  • B
  • C
  • D
  • E
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Here are some transformation rules.

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

(x,y)→(x-4,y-1)

(x,y)→(y,x)

(x,y)→(1.5x,1.5y)

A cylinder has radius 3 inches and height 5 inches. A cone has the same radius and height. An applet is provided below to help you answer the following questions.

Find the volume of the cylinder.

Find the volume of the cone.

What fraction of the cylinder’s volume is the cone’s volume?

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 .

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

 Explain why segments , and  have the same length.