Similar Figures Answers

1

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Triangle ABC was dilated and translated to form similar triangle A'B'C'.

A

One-fifth

B

Two-fifths

C

Five-halves

D

5

2

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On a coordinate plane, 2 quadrilaterals are shown. Quadrilateral A B C D has points (2, negative 2), (4, negative 2), (3, negative 4), and (1, negative 4). Quadrilateral J K L M has points (4, negative 4), (8, negative 4), (6, negative 9), and (2, negative 9).

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 JK and ML are not twice as long as sides AB and DC.

D

No, because sides JM and KL have different slopes from sides AD and BC.

3

Triangle MNP will be dilated according to the rule(x,y), where point P is the center of dilation.

A

(-2, 4)

B

(-2, 6)

C

(-4, 4)

D

(-4, 8)

4

What is true about the image ΔK'L'M'? Select three options.

A

DO, 0.75 (x,y) = (0.75x, 0.75y)

B

LM is parallel to L'M'.

C

KM is shorter than K'M'.

D

The vertices of the image are closer to the origin than those of the pre-image.

E

The distance from M' to the origin is exactly half the distance from M to the origin.

5

Triangle STV was dilated with the origin as the center of dilation to form S'T'V'.

A

One-third

B

Two-thirds

C

Three-halves

D

Three

6

Which graph shows a dilation?

A

On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0).

B

On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4, 3), (0, 3), (2, 0), and (negative 2, 0). The smaller quadrilateral has points (negative 2, 2), (0, 2), (0.5, 0), and (negative 1.5, 0).

C

On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).

D

On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 0.5, 0), (negative 1, 2), (1, 2), (1.5, 0).

7

Triangle MNP is dilated according to the rule DO,1.5 (x,y)(1.5x, 1.5y) to create the image triangle M'N'P, which is not shown.

A

M'(-6, 9) and N'(4, 9)

B

M'(-6, 9) and N'(3, 9)

C

M'(-2, 3) and N'(7, 9)

D

M'(-2, 3) and N'(1, 3)

8

Which statements are true about the trapezoids? Select three options.

A

The length of side AD is 8 units.

B

The length of side A'D' is 4 units.

C

The image is larger than the pre-image.

D

Sides CD and C'D' both have the same slope, 2.

E

The scale factor is .

9

Trapezoid DEFG is dilated according to the ruleDO,4(x,y) to form the image trapezoid D'E'F'G', which is shown on the graph.

A

(-2, 1)

B

(-4, 2)

C

(-12, 0)

D

(-32, 16)

10

Which graph shows a dilation?

A

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

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.

C

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.

D

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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