Illustrative Mathematics - Geometry - Unit 6 - Lesson 1

Last updated about 3 years ago

6 questions

8.G.8

G.CO.2

G.CO.5

8.G.8

G.CO.2

G.CO.5

8.G.8

G.CO.2

G.CO.5

8.G.8

G.CO.2

G.CO.5

8.G.8

G.CO.2

G.CO.5

8.G.8

G.CO.2

G.CO.5

Illustrative Mathematics - Geometry - Unit 6 - Lesson 1

Last updated about 3 years ago

6 questions

Reflect triangle ABC over the line x=-3.
Translate the image by the directed line segment from (0,0) to (4,1).

What are the coordinates of the vertices in the final image?

8.G.8

G.CO.2

G.CO.5

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment BC by 180 degrees.
Describe the result.

8.G.8

G.CO.2

G.CO.5

Triangle ABC has coordinates A=(1,3),B=(2,0) and C=(4,1) The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(-5,-3),B'=(-4,0), and C'=(-2,-1)

Write a sequence of transformations that takes triangle ABC to triangle A'B'C'.

8.G.8

G.CO.2

G.CO.5

Prove triangle ABC is congruent to triangle DEF.

8.G.8

G.CO.2

G.CO.5

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 1.17 gram diamond in the shape of a pyramid whose base has area 2 cm2 and whose height is 0.5 centimeters sink or float? Explain your reasoning.

8.G.8

G.CO.2

G.CO.5

This design began from the construction of an equilateral triangle.
Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.

8.G.8

G.CO.2

G.CO.5

This lesson is from Illustrative Mathematics. Geometry, Unit 6, Lesson 1. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/6/1/index.html ; accessed 29/July/2021.

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Illustrative Mathematics - Geometry - Unit 6 - Lesson 1

Illustrative Mathematics - Geometry - Unit 6 - Lesson 1

Reflect triangle ABC over the line x=-3.Translate the image by the directed line segment from (0,0) to (4,1).What are the coordinates of the vertices in the final image?

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment BC by 180 degrees. Describe the result.

Triangle ABC has coordinates A=(1,3),B=(2,0) and C=(4,1) The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(-5,-3),B'=(-4,0), and C'=(-2,-1)Write a sequence of transformations that takes triangle ABC to triangle A'B'C'.

Prove triangle ABC is congruent to triangle DEF.

This design began from the construction of an equilateral triangle. Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.

Reflect triangle ABC over the line x=-3.Translate the image by the directed line segment from (0,0) to (4,1).What are the coordinates of the vertices in the final image?

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment BC by 180 degrees. Describe the result.

Triangle ABC has coordinates A=(1,3),B=(2,0) and C=(4,1) The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(-5,-3),B'=(-4,0), and C'=(-2,-1)Write a sequence of transformations that takes triangle ABC to triangle A'B'C'.

Prove triangle ABC is congruent to triangle DEF.

This design began from the construction of an equilateral triangle. Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.

Reflect triangle ABC over the line x=-3.
Translate the image by the directed line segment from (0,0) to (4,1).

What are the coordinates of the vertices in the final image?

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment BC by 180 degrees.
Describe the result.

Triangle ABC has coordinates A=(1,3),B=(2,0) and C=(4,1) The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(-5,-3),B'=(-4,0), and C'=(-2,-1)

Write a sequence of transformations that takes triangle ABC to triangle A'B'C'.

This design began from the construction of an equilateral triangle.
Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.

Reflect triangle ABC over the line x=-3.
Translate the image by the directed line segment from (0,0) to (4,1).

What are the coordinates of the vertices in the final image?

Three line segments form the letter N. Rotate the letter N counterclockwise around the midpoint of segment BC by 180 degrees.
Describe the result.

Triangle ABC has coordinates A=(1,3),B=(2,0) and C=(4,1) The image of this triangle after a sequence of transformations is triangle A'B'C' where A'=(-5,-3),B'=(-4,0), and C'=(-2,-1)

Write a sequence of transformations that takes triangle ABC to triangle A'B'C'.

This design began from the construction of an equilateral triangle.
Record at least 3 rigid transformations (rotation, reflection, translation) you see in the design.