Free Printable Similarity/Dilations RETAKE

1.

$\Delta NOP\$ had side lengths 5 cm, 7 cm, and 9 cm. If $\Delta NOP\sim\Delta RST,$ which of the following could be the lengths of the sides of $\Delta RST?$

a)

1 cm, 3 cm, 5cm

b)

6 cm, 8.4 cm, 13.5 cm

c)

7.5 cm, 10.5 cm, 13.5 cm

d)

15 cm, 17 cm, 19cm

2.

If two polygons are SIMILAR, then the corresponding sides must be _________________.

a)

proportional

b)

congruent

c)

parallel

d)

similar

3.

Select all of the following dilations with center A can be used to show that $\Delta ABC\sim\Delta ADE?$

a)

Map $\Delta ABC\ to\ \Delta ADE$ using a dilation with scale factor $\frac{1}{2}.$

b)

Map $\Delta ABC\ to\ \Delta ADE$ using a dilation with scale factor $2.$

c)

Map $\Delta ADE\ to\ \Delta ABC$ using a dilation with scale factor $\frac{1}{2}.$

d)

Map $\Delta ADE\ to\ \Delta ABC$ using a dilation with scale factor $2.$

4.

Identify whether the figures are similar.

a)

The figures are not similar.

b)

The figures are similar.

c)

The figures are congruent.

d)

The figures are parallel.

5.

Standing next to each other, a woman casts a 41.4-inch shadow and her 40-inch-tall son casts a 24-inch shadow. What is the height of the woman to the nearest inch?

a)

63 in.

b)

72 in.

c)

84 in.

d)

69 in.

6.

Triangle $A\left(-2,\ 3\right),\ B\left(5,\ 4\right),\ C\left(0,-4\right)$ is dilated by a factor of 3. The center of dilation is at the origin. Select the correct coordinates for the new triangle.

a)

$A'\left(-6,\ -15\right),\ B'\left(9,\ 12\right),\ C'\left(3,\ -12\right)$

b)

$A'\left(6,\ 15\right),\ B'\left(-9,\ 12\right),\ C'\left(-15,\ -12\right)$

c)

$A'\left(-6,\ 9\right),\ B'\left(15,\ 12\right),\ C'\left(0,\ -12\right)$

d)

$A'\left(6,\ 3\right),\ B'\left(9,\ 12\right),\ C'\left(-15,-12\right)$

7.

The dashed triangle is the image of the solid triangle for a dilation with center at the origin. What is the scale factor?

a)

$\frac{7}{3}$

b)

$\frac{2}{3}$

c)

$\frac{5}{3}$

d)

$\frac{1}{3}$

8.

Select whether the triangles are similar. If they are write a similarity statement.

a)

$Similar;\ \Delta EBC\cong\Delta EDA$

b)

$Congruent;\ \Delta EBC\cong\Delta EDA$

c)

$Not\ Similar\$

d)

$Similar;\ \Delta EBC\sim\Delta EDA$

9.

A photo needs to be enlarged from an original with a length of 7 inches and a width of 5 inches to a size where the new width is 15 inches. What is the new length? What is the scale factor.

a)

new length = 28 inches

scale factor = 5

b)

new length = 23 inches

scale factor = 3

c)

new length = 21 inches

scale factor = 3

d)

new length = 25 inches

scale factor = 5

10.

What value of x will make the two triangles similar?

a)

61

b)

66

c)

67

d)

60

Similarity/Dilations RETAKE

Total questions: 10

Worksheet time: 2hrs 55mins

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