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Dilate Figures in the Coordinate Plane

Authored by Anthony Clark

Mathematics

8th Grade

CCSS covered

Dilate Figures in the Coordinate Plane
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

½

¼

4

2

Tags

CCSS.8.G.A.3

2.

GRAPHING QUESTION

1 min • 1 pt

Tags

CCSS.8.G.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The vertices of △ ABC are located at A(4,8), B(8,0), and C(-8,4). Which sequence of transformations of △ ABC results in △ A′′B′′C′′?

Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

Tags

CCSS.8.G.A.3

4.

DRAG AND DROP QUESTION

1 min • 1 pt

Media Image

Finish the following similarity statement: Figure DEFGHI ∼ Figure ​ (a)  

DEFGHI

D'E'F'G'H'I'

ABCDEF

A'B'C'D'E'F'

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

5.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Figure B

Figure C

Figure D

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Media Image

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Tags

CCSS.HSG.CO.A.2

7.

MATCH QUESTION

1 min • 1 pt

Match the terms with their definitions.

A transformation that flips a figure across a line.

Rotation

A transformation that slides a figure.

Reflection

A transformation that turns a figure around a point.

Dilation

A transformation that makes a scale copy

Translation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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