Similar Figures Answers

1

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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)

2

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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).

3

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

A

The length of side MN is 2 units.

B

The length of side M'N' is 5 units.

C

The image is smaller than the pre-image.

D

Sides MQ and M'Q' both have the same slope, 1.

E

The scale factor is .

4

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 .

5

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)

6

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

A

One-fifth

B

Two-fifths

C

Five-halves

D

5

7

On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (negative 3, 3), (5, 3), (5, negative 1), and (1, negative 5). Polygon A prime B prime C prime D prime has points (negative 5, negative 2), (negative 3, negative 2), (negative 3, negative 3), and (negative 4, negative 4).

A

a dilation with a scale factor of and then a rotation

B

a dilation with a scale factor of and then a translation

C

a dilation with a scale factor of 4 and then a rotation

D

a dilation with a scale factor of 4 and then a translation

8

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.

9

What is true about the image ΔQ'R'S'? Select three options.Which statements are true?

A

DO,2 (x,y) = (2x, 2y)

B

Side Q'S' lies on a line with a slope of -1.

C

QR is longer than Q'R'.

D

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

E

The distance from Q' to the origin is twice the distance from Q to the origin.

10

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)

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