AnswersGeometryDilations

Dilations — Quiz Answers

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1
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What is the scale factor of the reduction?

A
1 fourth
B
4
C
2
D
1 half
2
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A square with a side length of 2 units is drawn on the coordinate plane with a vertex at the origin. Expand Image Which shows a dilation of the square by a scale factor of 2?

A
Image with description On a coordinate plane, a square has a point at negative 4 comma 0, a point at negative 4 comma 2, a point at negative 2 comma 2, and a point at negative 2 comma 0.
B
Image with description On a coordinate plane, a rectangle has a point at 0 comma 0, a point at 0 comma 2, a point at 4 comma 2, and a point at 4 comma 0.
C
Image with description On a coordinate plane, a square has a point at negative 4 comma 0, a point at negative 4 comma 4, a point at 0 comma 4, and a point at 0 comma 0.
D
Image with description On a coordinate plane, a square has a point at 0 comma 0, a point at 0 comma 2, a point at 2 comma 2, and a point at 2 comma 0.
4

Rita drew the pre-image of circle K with a dashed line and its image after dilation with a solid line. Which shows the dilation of circle K with a scale factor of 2?

A
Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 10.
B
Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 16.
C
Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 12.
D
Image with description On a coordinate plane, circle K has center point K at 0 comma 0 and a radius of 8. On the same coordinate plane, a circle has a center point at 0 comma 0 and a radius of 20.
5

Which rule represents a dilation with respect to the origin?

A
D sub 1 point 8 of 5 comma 10 is equal to 9 comma 14
B
D sub 1 point 8 of 5 comma 10 is equal to 9 comma 18
C
D sub 1 point 8 of 5 comma 10 is equal to 13 comma 26
D
D sub 1 point 8 of 5 comma 10 is equal to 13 comma 18
6

Which real-world transformations can be represented by dilations? Choose two correct answers.

A
reducing a photograph to half its dimensions
B
moving a photograph to a different page
C
turning a camera to take a photograph
D
cropping a photograph to a square by cutting only one side
E
enlarging a photograph to double the dimensions
7

Triangle EFG is dilated by a scale factor of 2 to form Triangle HIJ Point E is located at (−5,−5) , point F is located at (2,−6) , and point G is located at (−2,0) What are the coordinates of H , I , and J ? Plot each point on the coordinate grid.

Answer:

H; I; J

8

What is the scale factor of dilation?

A
4
B
1 fourth
C
3
D
1 third
9

Which statement about the transformation is true?

A
A dilation was applied because the diameter of the circle decreased.
B
A dilation was applied because the center of the circle moved.
C
An isometric transformation was applied because the center of the circle moved.
D
An isometric transformation was applied because the diameter of the circle decreased.
10

Which statement explains if a dilation was applied?

A
A dilation was not applied to the fabric because the angle measures are the same.
B
A dilation was not applied to the fabric because the length was changed, not the width.
C
A dilation was applied to the fabric because the width of the fabric was preserved.
D
A dilation was applied to the fabric because the angle measures were preserved.

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