Transformations Review

Quadrilateral PQRS is rotated 90° counterclockwise about the origin and then translated 6 units to the right to form Quadrilateral ZWXY. What is the counterpart of PQ?

• WX

• XY

• YZ

• ZW

Tags

CCSS.8.G.A.3

Olivia translated Triangle DEF 4 units vertically to form Triangle GHJ. If Olivia performed the translation correctly, what is the measure of Angle H?

• 17.5°

• 28.0°

• 32.5°

• 43.0°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A city planner wants to construct a new road south of Town Hall and north of the Community Center. The city planner currently has the road plotted as a set of parallel lines as shown on the map. However, the current plan for the road would cover a historical marker. Which transformation should the city planner apply to this road so that it preserves the historical marker and still passes south of Town Hall and north of the Community Center?

• translate the road up 2 units

• translate the road up 4 units

• translate the road down 2 units

• translate the road down 4 units

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which of the following transformations maps Figure A onto Figure B?

• Translate Figure A 3 units right and 2 units down.

• Translate Figure A 3 units right, and then reflect it across the x-axis.

• Reflect Figure A across the x-axis, and then translate it 3 units left.

• Reflect Figure A across the y-axis, and then translate it 3 units right.

Tags

CCSS.8.G.A.3

Nikki drew KM on a coordinate plane, with Point K located at (4, 5) and Point M located at (2, –3). Then she drew K'M', the result of the transformation of KM described by (x, y) ⟶ (4x, 4y). What are the coordinates of Point K'?

• (8, 9)

• (8, 20)

• (16, 9)

• (16, 20)

Tags

CCSS.HSG.CO.A.2

What changes were made to the upper portion of the wing to form the lower portion of the wing?

• Dilation and Translation

• Rotation and Translation

• Reflection and Translation

• Dilation and Reflection

Tags

CCSS.8.G.A.3

A rectangular glass window is divided into two equivalent right triangles by a diagonal brace. What is the length of the diagonal brace?

• 9 inches

• 12 inches

• 15 inches

• 21 inches

Tags

CCSS.8.G.B.8

What is the distance between points (8, 3) and (3, 1) on the coordinate plane?

• 3 units

• √21 units

• √29 units

• 7 units

Tags

CCSS.HSG.GPE.B.7

Judy began her proof of the converse of the Pythagorean theorem by drawing triangle ABC with side lengths in inches of 5, 12, and 13. She then showed that 5² + 12² = 13² as follows. 5² + 12² = 13² 25 + 144 = 169 169 = 169 Next, she drew triangle DEF, with two of the sides forming a 90° angle. If she has done her proof correctly so far, which of these is a length of one of the sides forming the 90° angle? Select two that apply.

• A. 3 in.

• B. 4 in.

• C. 5 in.

• D. 12 in.

• E. 13 in.

Tags

CCSS.8.G.B.8

Reflection _____ the pre-image and produces the ​mirror-image

• flips
• mirror
• slides
• stretches
• duplicate

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5