Illustrative Mathematics - Geometry - Unit 6 - Lesson 2 - Formative Library | Library

1

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

Draggable item		Corresponding Item
(x,y) \rightarrow (x-3,y+4)		Translate by the directed line segment from (0,0) to (3,0).
(x,y) \rightarrow (2x,2y)		Dilate using the origin as the center and a scale factor of 2.
(x,y) \rightarrow (x+3,y)		Translate by the directed line segment from (0,0) to (0,4).
(x,y) \rightarrow (x,y-4)		Translate by the directed line segment from (0,0) to (0,-4).
(x,y) \rightarrow (x,y+4)		Translate by the directed line segment from (0,0) to (-3,4).

1

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"?

1

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?

1

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.

1

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

1

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.

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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Illustrative Mathematics - Geometry - Unit 6 - Lesson 2

Illustrative Mathematics - Geometry - Unit 6 - Lesson 2

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

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"?

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?

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?

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.

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

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"?

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?

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?

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.

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"?

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?

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

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"?

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?

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