Free Printable 6.2 Dilations & Intro to Similarity Assignment- GRADED

1.

In similar figures, corresponding angles are ___________________ and corresponding sides are _________________________.

*Explain your answer on your answer sheet*

a)

proportional, proportional

b)

congruent, congruent

c)

proportional, congruent

d)

congruent, proportional

2.

Point $S\left(-3,2\right)$ under went a dilation by a scale factor 5. Where is $S'$ located?

a)

$\left(2,7\right)$

b)

$\left(-15,10\right)$

c)

$\left(-8,-3\right)$

d)

$\left(2,-3\right)$

3.

The point $C\left(14,-21\right)$ becomes $C'\left(2,-3\right)$ when a dilation is performed on it. What will the image of the point $R\left(-49,42\right)$ be under the same dilation?

a)

$R'\left(-7,6\right)$

b)

$R'\left(7,6\right)$

c)

$R'\left(-42,49\right)$

d)

$R'\left(-343,294\right)$

4.

What is the scale factor?

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

5.

What transformation doesn’t always produce an image that is congruent to its pre-image?

*Explain your answer on your answer sheet*

a)

Translations

b)

Rotations

c)

Reflections

d)

Dilation

6.

The point (2, -3) becomes (8, -12) after undergoing a dilation. What will the point (-4, 6) become under the same dilation?

a)

$\left(-1,\frac{3}{2}\right)$

b)

$\left(-16,24\right)$

c)

$\left(-1,24\right)$

d)

$\left(-16,\frac{3}{2}\right)$

7.

A rectangular photo with dimensions of 1.5 inches wide by 2 inches long is enlarged to a length of 8 inches. What is the width of the enlarged print?

*Hint: Draw a picture*

a)

3

b)

6

c)

7.5

d)

16

8.

Find the scale factor.

a)

$3$

b)

$\frac{1}{3}$

c)

$-3$

d)

$-\frac{1}{3}$

9.

Find point $B'$ .

a)

$\left(12,0\right)$

b)

$\left(18,6\right)$

c)

$\left(45,9_{ }\right)$

d)

$\left(5,1\right)$

10.

Translate $\Delta ABC$ using the rule $\left(x,y\right)\rightarrow\left(x-2,y+5\right)$ then rotate the image $90\degree$ clockwise around the origin.

Select all points that would be on $\Delta A'B'C'$ .

a)

$\left(-4,6\right)$

b)

$\left(1,3\right)$

c)

$\left(6,4\right)$

d)

$\left(-3,1\right)$

11.

Reflect $\Delta MNO$ over the y-axis and then over the x-axis.

Select all points that would be on $\Delta M'N'O'$ .

a)

$\left(-3,2\right)$

b)

$\left(2,-3\right)$

c)

$\left(-2,-4\right)$

d)

$\left(-3,-2\right)$

12.

Given: $\Delta MNO\sim\Delta PQR$

Select the correct proportion that represents the corresponding sides.

a)

$\frac{NO}{QR}=\frac{MN}{PR}=\frac{MO}{PQ}$

b)

$\frac{MO}{QR}=\frac{MN}{PQ}=\frac{NO}{PR}$

c)

$\frac{MN}{PQ}=\frac{NO}{QR}=\frac{MO}{PR}$

d)

$\frac{MN}{PQ}=\frac{MO}{QR}=\frac{NO}{PR}$

13.

Given: $\Delta CDE\sim\Delta FGE$

What is the value of x?

a)

16.9

b)

37

c)

43.2

d)

42

14.

Given: $\Delta JKL\sim\Delta QRS$

Find x.

a)

$-\frac{1}{3}$

b)

$-4$

c)

$\frac{4}{6}$

d)

2

15.

Given: $\Delta TLY\sim\Delta CHK$

Find x.

a)

$11$

b)

$9$

c)

$\frac{75}{90}$

d)

$\frac{6}{15}$

6.2 Dilations & Intro to Similarity Assignment- GRADED

Total questions: 15

Worksheet time: 2hrs 42mins

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