Dilations

Presentation

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Mathematics

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8th Grade

•

Practice Problem

•

Medium

•

CCSS

8.G.A.3, 6.NS.B.3, HSG.SRT.A.2

Standards-aligned

Jessica Corral

Used 10+ times

FREE Resource

10 Slides • 21 Questions

Dilations

Match

Match the terms with their definitions.

Translation

Rotation

Reflection

Dilation

A transformation that slides a figure.

A transformation that turns a figure around a point.

A transformation that flips a figure across a line.

A transformation that makes a scale copy

Scale Factors

> 1 Enlargement

> 0 & < 1 Reduction

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

True

False

Multiple Choice

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

True

False

Similar Figures

Multiple Choice

Two figures are congruent if they have the _______ shape and _______ size.

Different, Same

Same, Same

Same, Different

Different, Different

Multiple Choice

Two figures can be similar if they have the _______ shape but _______ size.

Different, Same

Same, Same

Same, Different

Different, Different

Multiple Choice

What symbol is used to show that two figures are similar?

$\sim$

≅

≡

Multiple Select

Similar figures have ...

Congruent Angles

Congruent Side Lengths

Proportional Angles

Proportional Side Lengths

Make sure to set up ratios with corresponding sides

Fill in the Blanks

Find x using the proportional relationships of similar figures.

Type answer...

Multiple Choice

Are these similar figures?

Yes

Multiple Choice

Are the two figures similar?

Yes

Multiple Choice

Are the two figures similar?

Yes

Drag and Drop

Finish the following similarity statement: Figure DEFGHI ∼ Figure

Drag these tiles and drop them in the correct blank above

DEFGHI

D'E'F'G'H'I'

ABCDEF

A'B'C'D'E'F'

Multiple Select

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

Figure B

Figure C

Figure D

Set up a Proportion and Solve Like an Equation

To do a Dilation on the Coordinate Plane

Multiply by the scale factor!

Dilate the triangle by 3.

F(2, -2), G(2, 2), H(-1, -2)

To do a Dilation on the Coordinate Plane

Multiply by the scale factor!

Dilate the triangle by 3.

F(2, -2), G(2, 2), H(-1, -2)

F'(6, -6), G'(6, 6), H'(-3, -6)

Same Starting Point, Different Factor

Multiple Choice

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

(5,3)

(20,12)

(-20,-12)

(-5,-3)

Graphing

The points of $\Delta abc$ is graphed. The figure is dilated with a scale factor of 2 and the center of dilation at the origin. Plot all the points of $\Delta a'b'c'$ after performing the dilation.

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

Fill in the Blanks

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Multiple Choice

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

1/3

1/2

Same Starting Point, Different Factor

Multiple Select

Which statements are true about Dilations?

They are rigid transformations

They are non-rigid transformations

They change the size of a shape (bigger or smaller)

They change a shape

Multiple Choice

A figure has a point at (3, 4). When dilated by a factor of 2, the new image point is located where?

(5, 6)

(5, 8)

(6, 8)

(6, 6)

Fill in the Blanks

Dilate by a factor of 5.

A(2, 3), B(1, 4), C(4, 5)

Dilations

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