Geometry | Unit 6 | Lesson 2: Transformations as Functions | Practice Problems

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

• Translate by the directed line segment from (0,0) to (0,4).

• Translate by the directed line segment from (0,0) to (3,0).

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

• Translate by the directed line segment from (0,0) to (0,-4).

• Translate by the directed line segment from (0,0) to (-3,4).

Tags

CCSS.HSG.CO.A.2

Draw the image of triangle ABC under the transformation (x,y) → (x-4,y+1). Label the result T.

Tags

CCSS.HSG.CO.A.2

Draw the image of triangle ABC under the transformation (x,y) → (-x,y). Label the result R.

Tags

CCSS.HSG.CO.B.6

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

Tags

CCSS.HSG.CO.A.2

Reflect triangle ABC over the line x=0. Call this new triangle A’B’C’. Then reflect triangle A’B’C’ over the line y=0. Call the resulting triangle A''B''C''. Which single transformation takes ABC to A''B''C''?

• Translate triangle ABC by the directed line segment from (1,1) to (-2,1).

• Reflect triangle ABC across the line y=-x.

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

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflect triangle ABC over the line y=2. Translate the image by the directed line segment from (0,0) to (3,2). What are the coordinates of the vertices in the final image?

Tags

CCSS.8.G.A.3

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.

Tags

CCSS.HSG.MG.A.2

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

• 1 cubic foot

• 3 cubic feet

• 9 cubic feet

• 27 cubic feet

Tags

CCSS.HSG.GMD.A.3

Reflect square ABCD across line CD. What is the ratio of the length of segment AA' to the length of segment AD? Explain or show your reasoning.

Tags

CCSS.HSG.CO.A.2