unit 5 quiz review dilations and similar figures

Unit 5 Quiz Review

Dilations

And

Similar Figures

1 – Dilate the figure by a scale factor of 200%

Original Points

A (0,4)

B (-6,5)

C (-8,5)

D (-12, 4)

New Points

A’ ( )

B’ ( )

C’ ( )

D’ ( )

2- What is the scale factor of the reduction of from QRSXYZ

X

Y Z

SR

Q

4 in

3 in

1.5 in

2 in

3- If I dilate a figure by 175% the new figure will be _______ than the original figure. This is called a(n) _______________.

4- If I dilate a figure by 75% the new figure will be _________ than the original figure. This is called a(n) _______________.

5- Dilate the point (3,7) by a scale factor of ½.

Write the scale factor as a decimal and a percent.

Write if the dilated figure will be bigger or smaller (in proper mathematical terms)

6. In the diagram below, what is the ratio of the area of Triangle PQR to the area of Triangle LMN?

5 m.

L

M N

P

Q R

8 m.4 m.

3 m.

5 m.

7. If the sides of two similar rectangles have a ratio of , what is the ratio of their areas?

11

4

8. If the ratio of two areas of two similar triangles is 1:16, what is the ratio of the sides of the similar triangles?

9- Given the figures are similar, if the area of pentagon A is 12 square inches, what is the area of pentagon B?

2”

2” 4”

4”

10- What is the scale factor of the enlargement?

20”

10”

24”

15”

36”

30”

11-What is the length of the missing side if the ratio of the areas (B:A) is 9/16?

6 in x in

12- What is the height of the tree?

Tree’s shadow: 50 ft. Boy’s shadow: 10 ft.

X ft.

4 ft.

13- What relationship do you see between the ratio of sides of two similar rectangles and the ratio of the areas of two similar rectangles?