Illustrative Math Grade 8 Unit 1 Mid-Unit Assessment

In which pair of figures can Figure A be taken to Figure B by a rotation?

• Pair 1

• Pair 2

• Pair 3

• Pair 4

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Select all the pairs where Figure H is the image of Figure G after a reflection, rotation, or translation.

• A

• B

• C

• D

• E

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of these sequences of transformations would return a shape to its original position?

• Translate 5 units right, then 5 units down.

• Translate 3 units down, then 2 units up, and then 1 unit down.

• Rotate 120° counterclockwise around center C, then rotate 240° clockwise around C again.

• Reflect over line ℓ, then reflect over line ℓ again.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point A is located at coordinates (1, -3). What are the coordinates of each point? a. Point B is the image of A after a reflection using the y-axis, then a translation three units to the left. b. Point C is the image of A after a reflection using the x-axis, then a translation four units to the right. c. Point D is the image of A after a rotation of 180° using (0, 0) as center.

• a. (-4, -3), b. (5, 3), c. (-1, 3)

• a. (-4, -3), b. (5, -3), c. (-1, 3)

• a. (-4, 3), b. (5, -3), c. (-1, 3)

• a. (-4, -3), b. (5, -3), c. (-1, -3)

Tags

CCSS.8.G.A.3

In Pair 1, which transformation takes Figure A to Figure B: a translation, rotation, or reflection?

• Translation

• Rotation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In Pair 2, which transformation takes Figure A to Figure B: a translation, rotation, or reflection?

• Translation

• Rotation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In Pair 3, which transformation takes Figure A to Figure B: a translation, rotation, or reflection?

• Translation

• Rotation

• Reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Describe a sequence of transformations that takes Figure Q to Figure P.

• Translation followed by rotation

• Reflection followed by translation

• Rotation followed by reflection

• Scaling followed by translation

Tags

CCSS.8.G.A.3

a. Draw the image of this figure after a reflection using line ℓ.

b. The figure on the left is rotated 90° clockwise around point P to form the image on the right. Use the information in the original figure to label the corresponding parts (angles) in the image.