Illustrative Mathematics - Geometry - Unit 6 - Lesson 2

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Last updated about 1 year ago

12 Questions

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

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

G.CO.2

G.CO.5

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  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.

G.CO.2

G.CO.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?

G.CO.2

G.CO.5

10.

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.

G.CO.2

G.CO.5

11.

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

G.CO.2

G.CO.5

12.

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.

G.CO.2

G.CO.5

This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 2. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/2/index.html ; accessed 29/July/2021.

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