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IM Geo.6.2 Practice: Transformations as Functions

Author:GeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

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

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

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

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
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Select all that apply
  • A
  • B
  • C
Check my answer (3)

Select all that apply
  • A
  • B
  • C
Check my answer (3)

 Reflect triangle  over the line . Call this new triangle . Then reflect triangle  over the line . Call the resulting triangle . Which single transformation takes  to ?

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  • A
  • B
  • C
  • D
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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?

The density of water is 1 gram per cm³. An object floats in water if its density is less than water’s density, and it sinks if its density is greater than water’s. Will a cylindrical log with radius 0.4 meters, height 5 meters, and mass 1,950 kilograms sink or float? Explain your reasoning.

These 3 congruent square pyramids can be assembled into a cube with side length 3 feet. What is the volume of each pyramid?

Select all that apply
  • A
  • B
  • C
  • D
Check my answer (3)

Reflect square ABCD across line CD.

What is the ratio of the length of segment  to the length of segment ? Explain or show your reasoning.

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