Dilation Centered at a Point

Dilation Centered at a Point

10th Grade

20 Qs

quiz-placeholder

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Dilation Centered at a Point

Dilation Centered at a Point

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
8.G.A.3, HSG.CO.A.2, 8.G.A.4

+2

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the diagram below, CD is the image of AB after a dilation of scale factor k with center E. Which ratio is equal to the scale factor k of the dilation?

EC : EA

BA : EA

EA : BA

EA : EC

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

On the graph below, point A(3, 4) and BC with coordinates B(4, 3) and C(2, 1) are graphed. What are the coordinates of B' and C' after BC undergoes a dilation centered at point A with a scale factor of 2?

B'(5,2) and C'(1, -2)

B'(6, 1) and C'(0, -1)

B'(5, 0) and C'(1, -2)

B'(5, 2) and C'(3, 0)

Tags

CCSS.8.G.A.3

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A line segment is dilated by a scale factor of 2 centered at a point not on the line segment. Which statement regarding the relationship between the given line segment and its image is true?

The line segments are perpendicular, and the image is one-half of the length of the given line segment.

The line segments are perpendicular, and the image is twice the length of the given line segment.

The line segments are parallel, and the image is twice the length of the given line segment.

The line segments are parallel, and the image is one-half of the length of the given line segment

Tags

CCSS.8.G.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A three-inch line segment is dilated by a scale factor of 6 and centered at its midpoint. What is the length of its image?

9 inches

2 inches

15 inches

18 inches

Tags

CCSS.8.G.A.3

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

After a dilation with center (0, 0) the image of DB is D'B'. If DB = 4.5 and D'B' = 18, the scale factor of this dilation is

1/5

5

1/4

4

Tags

CCSS.8.G.A.3

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The smaller triangle is transformed to create the larger triangle. Which of these is the scale factor of the dilation centered at the point (0, 0)?

4

2

1

1/2

Tags

CCSS.HSG.CO.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Figure A′B′C′D′F′ is a dilation of figure ABCDF by a scale factor of ½ ​​. The dilation is centered at (–4, –1).

Which statement is true?

A

B

C

D

Tags

CCSS.8.G.A.3

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