AnswersGeometrySimilar Figures

Similar Figures — Quiz Answers

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1
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Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of 2 fifths ? Why or why not?

A
Yes, because sides AB and CD are parallel to sides MN and QP .
B
Yes, because AB and CD are each 2 fifths the lengths MN and QP .
C
No, because sides AB and CD have different slopes from sides MN and QP .
D
No, because AB is 2 fifths the length MN but CD is 1 third the length QP .
2
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Which statements are true about the trapezoids? Choose three correct answers.

A
Sides CD and cap c prime cap d prime both have the same slope, 2 .
B
The length of side cap A prime cap d prime is 4 units.
C
The scale factor is 1 half .
D
The image is larger than the pre-image.
E
The length of side AD is 8 units.
3

What is the scale factor of the dilation?

A
2 thirds
B
3 halves
C
1 third
D
3 over 1
4

What is the scale factor of the dilation?

A
5 halves
B
2 fifths
C
5 over 1
D
1 fifth
5

Is quadrilateral JKLM the result of a dilation of quadrilateral ABCD by a scale factor of 2 ? Why or why not?

A
Yes, because sides JK and ML are twice as long as sides AB and DC .
B
Yes, because both figures are parallelograms, so corresponding sides are parallel.
C
No, because sides JM and KL have different slopes from sides AD and BC .
D
No, because sides JK and ML are not twice as long as sides AB and DC .
6

Which statements are true about the parallelograms? Choose three correct answers.

A
The scale factor is 2 fifths .
B
Sides MQ and cap m prime cap q prime both have the same slope, 1 .
C
The length of side cap m prime cap n prime is 5 units.
D
The length of side MN is 2 units.
E
The image is smaller than the pre-image.
7

Which graph shows a dilation?

A
Image with description On a coordinate plane, the x and y axes ranges from negative 4 to positive 4 in increments of 1. 2 quadrilaterals are shown. The vertices of the larger quadrilateral are (negative 1 comma 0), (negative 3 comma 3), (1 comma 3), and (3 comma 0). The vertices of the smaller quadrilateral are (0 comma 0), (negative 1 comma 1), (1 comma 1), and (2 comma 0).
B
Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 quadrilaterals are shown. The vertices of the larger quadrilateral are (negative 2 comma 0), (negative 4 comma 3), (0 comma 3), and (2 comma 0). The vertices of the smaller quadrilateral are (negative 1 point 5 comma 0), (negative 2 comma 2), (0 comma 2), and (0 point 5 comma 0).
C
Image with description On a coordinate plane, the x and y axes range from negative 5 to positive 5 in increments of 1. 2 quadrilaterals are shown. The vertices of the larger quadrilateral are (negative 2 comma 0), (negative 5 comma 3), (1 comma 3), and (4 comma 0). The vertices of the smaller quadrilateral are (negative 1 comma 0), (negative 2 comma 1), (0 comma 1), and (1 comma 0).
D
Image with description On a coordinate plane, the x and y axes range from negative 5 to positive 5 in increments of 1. 2 quadrilaterals are shown. The vertices of the larger quadrilateral are (negative 2 comma 0), (negative 5 comma 3), (1 comma 3), and (4 comma 0). The vertices of the smaller quadrilateral are (negative 0 point 5 comma 0), (negative 1 comma 2), (1 comma 2), and (1 point 5 comma 0).
8

What is true about the image triangle cap q prime cap r prime cap s prime ? Choose three correct answers. Which statements are true?

A
Side cap q prime cap s prime lies on a line with a slope of negative 1 .
B
The distance from cap q prime to the origin is twice the distance from cap q to the origin.
C
line segment QR is longer than line segment cap q prime cap r prime .
D
The vertices of the image are closer to the origin than those of the pre-image.
E
cap d sub cap o comma 2 x,y x,2y
9

Which graph shows a dilation?

A
Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 2 units high.
B
Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high.
C
Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 1 unit high.
D
Image with description On a coordinate plane, a square and a rectangle are shown. The square is 2 units wide and 2 units high. The rectangle is 8 units wide and 4 units high.
10

Which graph shows a dilation?

A
Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 8 units wide and 4 units high. The smaller rectangle is 4 units wide and 2 units high.
B
Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 2 units high.
C
Image with description On a coordinate plane, a square and a rectangle are shown. The square is 2 units wide and 2 units high. The rectangle is 8 units wide and 4 units high.
D
Image with description On a coordinate plane, 2 rectangles are shown. The larger rectangle is 7 units wide and 4 units high. The smaller rectangle is 3 units wide and 1 unit high.

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