Dilations and Similarity

Presentation

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Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

8.G.A.3, 8.G.A.4, HSG.CO.A.2

Standards-aligned

Victoria Colbert

Used 14+ times

FREE Resource

11 Slides • 20 Questions

Dilations & Similarity

Multiple Choice

A dilation is which of the following:

only an enlargement

only a reduction

either an enlargement or a reduction

neither an enlargement nor a reduction

Multiple Choice

A dilation always produces a congruent figure.

True

False

Multiple Choice

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

measure; shapes

sizes; shapes

value; measures

shape; sizes

Multiple Choice

Did the image enlarge, reduce or none of the above?

Enlarge

Reduce

None of the above

Multiple Choice

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

Yes, enlarge

Yes, reduce

Multiple Choice

Under a dilation, which scale factor will result in a congruent image?

-2

¹/₂

Multiple Choice

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

True

False

Multiple Choice

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

B' (2 , 4.5)

B' (-8 ,-18)

B' (8 ,18)

B' (9 ,4)

Multiple Choice

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

How do you write the algebraic notation when the scale factor is 3?

(x, y) goes to (1/3x, 1/3y)

(x, y) goes to (-3x, -3y)

(x, y) goes to (x + 3, y + 3)

(x, y) goes to (3x, 3y)

Multiple Choice

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

A'(9,9) B'(18,18) C'(27,9)

A'(6,6) B'(9,9) C'(12,6)

A'(0,0) B'(3,3) C'(6,0)

A'(1,1) B'(2,2) C'(3,1)

Multiple Choice

Dilate Point B by a scale factor of 3:

(12,0)

(12,12)

(4,3)

(0,12)

Multiple Choice

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

(-1, -2.5)

(12, 6)

(3, -1.5)

(0, 1.5)

Multiple Choice

Enlargement or reduction? Find the scale factor!

It's a reduction; the scale factor is 2.

It's an enlargement; the scale factor is 2.

It's an enlargement; the scale factor is 1/2.

It's a reduction; the scale factor is 1/2.

Multiple Choice

Enlargement or reduction? Find the scale factor!

It's an enlargement; the scale factor is 1/2.

It's an enlargement; the scale factor is 2.

It's a reduction; the scale factor is 1/2.

It's a reduction; the scale factor is 2.

Multiple Choice

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

(x, y) --> (2x, 2y)

(x, y) --> (0.5x, 0.5y)

(2x, 2y) --> (x, y)

(x, y) --> (3x, 2y)

Multiple Choice

Does the image show a Dilation and what is the scale factor?

Yes; k = 2

Yes; k = 1/2

No, it's a translation.

No, it's a reflection.

Multiple Choice

What is the formula for scale factor?

$\frac{new}{old}$

$\frac{old}{new}$

Multiple Choice

A ~ B. What is the scale factor of the dilation of A to B?

$\frac{4}{3}$

$\frac{3}{4}$

Multiple Choice

ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?

$\frac{2}{3}$

$\frac{3}{2}$

Dilations & Similarity

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