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Dilations and Similar Figures Review

Dilations and Similar Figures Review

Assessment

Presentation

•

Mathematics

•

7th - 8th Grade

•

Practice Problem

•

Medium

•
CCSS
8.G.A.3, HSG.SRT.A.2, HSG.CO.C.9

+1

Standards-aligned

Created by

George Mitchell

Used 26+ times

FREE Resource

6 Slides • 9 Questions

1

Dilations and Similar Figures Review

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2

Dilations

  • Increases(enlarge) or decreases(shrink) the size of a figure.

  • Maintains the same shape, though size will change.

  • Enlarges or shrinks depending on the scale factor.

  • Scale factor must be greater than 1 to produce an enlargement

  • Scale factor must be between 0 and 1 to produce a shrinked figure.

3

Scale Factor

  • Value that is multiplied by side measures of a figure to produce a dilation.

  • If on the coordinate plane, the value is multiplied by the x-andy-coordiantes.




4

Scale Factor

Written as a ratio of corresponding side measures.

Slide image

5

Multiple Choice

Which if the following is true about dilations?

1

causes an enlargement of figures

2

Causes a reflections

3

Causes figures to be congruent.

4

Causes a figure to move up or down.

6

Multiple Choice

A scale factor is

1

Divided by corresponding side measures

2

Added to side measures

3

Multiplied to side measures

4

Subtracted by side measures

7

Multiple Choice

A figure is enlarged when

1

The scale factor is less than 1

2

The scale factor is greater than 1

3

The scale factor is equal to 1

4

There is no scale factor.

8

Multiple Choice

A figure shrinks when

1

The scale factor is greater than 1

2

The scale factor is less than 1

3

The scale factor is less than 0

4

The scale factor is between 0 and 1.

9

Multiple Choice

A triangle with coordinates D(-2, 3), E(-4, 7), and F( 0, 5) is dilated by a scale factor of 2. What are the new coordinates?

1

D'(0, 5), E'(-2, 12), F'(2, 7)

2

D'(2, 3), E'(-4, 7), F'(0, 5)

3

D'(-4, 6), E'(-8, 14), F'(0, 10)

4

D'(3, -2), E'(7, -4), F'(5, 0)

10

Similar Figures

  • Corresponding angles are congruent

  • Corresponding sides a proportional

11

Missing Side Measures

  • Missing side measures of similar figures can be found by writing a proportion and solving for the missing value.


12

Multiple Choice

Question image

Find the measures of x and y.

1

x = 9m, y = 30m

2

x = 3m, y = 9 m

3

x = 30 m, y = 9 m

4

x = 15 m, y = 30 m

13

Multiple Choice

Question image

Find the measures of x and y.

1

x = 14 cm, y = 28 cm

2

x = 13 cm, y = 27 cm

3

x = 15 cm, y = 30 cm

4

x = 10 cm, y y = 18 cm

14

Multiple Choice

Question image

Determine the distance across the river.

1

24 feet

2

72 feet

3

30 feet

4

48 feet

15

Multiple Choice

Question image

Determine the distance acroos the river.

1

45 feet

2

50 feet

3

26 feet

4

54 feet

pattern-tertiary

Dilations and Similar Figures Review

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