Dilation

Presentation

•

Mathematics

•

9th - 10th Grade

•

Medium

•

CCSS

8.G.A.3, 7.G.A.1, HSG.CO.A.2

Standards-aligned

Alina Sanchez Mederos

Used 14+ times

FREE Resource

4 Slides • 29 Questions

Dilation

Multiple Choice

$\Delta JKL\$ has the following coordinates J(-8,2), K(7,9), L(9,-12). When dilated the new coordinates are J'(-2,0.5), K'(1.75,2.25), L'(2.25,-3). What is the scale factor?

-1/4

-4

1/4

Multiple Choice

Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the scale factor?

$\frac{3}{2}$

$\frac{1}{2}$

$\frac{2}{3}$

$\frac{1}{3}$

Multiple Choice

If the blue polygon is the original image, find the scale factor and determine if it is a reduction or enlargement.

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

What is the scale factor from the large triangle to the small triangle?

1/2

2/3

3/4

Multiple Choice

What is the scale factor from triangle ABC to triangle DEF?

1/2

7/3

2/1

10/3

Multiple Choice

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

$\frac{2}{3}$

$\frac{3}{2}$

Multiple Choice

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

$\frac{4}{3}$

$\frac{3}{4}$

Multiple Choice

Two objects that are the same shape but not the same size are _______.

Congruent

Vertical

Similar

Complementary

Multiple Choice

If the scale factor is less than one, the new figure will be

an enlargement

a reduction

a scale factor

bigger

Multiple Choice

If the scale factor is greater than one, the new figure will be

a reduction

an enlargement

a scale

not proportional

Multiple Choice

What is the formula for scale factor?

$\frac{new}{old}$

$\frac{old}{new}$

Multiple Choice

Which of the following is the algebraic representation for a dilation?

(x, y) → (x, 3y)

(x, y) → (3x, 3y)

(x, y) → (x, y - 3)

(x, y) → (.5x, .4y)

Multiple Choice

How do you write the algebraic notation when the scale factor is 1/2?

(x, y) goes to (2x, 2y)

(x, y) goes to (1/2x, 1/2y)

(x, y) goes to (-2x, -2y)

(x, y) goes to (2x, 1/2y)

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

When the scale factor of a dilation is less than one, the dilation is a reduction.

True

False

Multiple Choice

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

True

False

Multiple Choice

A dilation produces a congruent figure

True

False

Multiple Choice

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

Multiple Choice

Choose the correct scale factor:

1/3

1/2

Multiple Choice

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

(5,3), (6,2), (1,-2)

(6,0), (9,-3), (-6,-15)

(2/3,0), (1,-1/3), (-2/3,-5/3)

(-1,-3), (0,-4), (-5,-8)

Multiple Choice

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

Multiple Choice

Choose the correct scale factor:

1/3

1/2

Multiple Choice

(x, y) -> (2x, 2y)
What is the coefficient 2 mean?

plot 2 to the right and 2 up

scale factor is 2 creating a new figure half the size

scale factor is 2 making a figure twice the
original

I don't understand this question : (

Multiple Choice

Definition: The figure before a transformation has occurred.

Pre-image

Image

Translation

Reflection

Multiple Choice

Definition: The figure after a transformation has occurred.

Pre-image

Image

Translation

Reflection

Multiple Choice

State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.

(5,3)

(20,12)

(-20,-12)

(-5,-3)

Multiple Choice

Does the image show a dilation?

Yes

Multiple Choice

Does the image show a Dilation?

Yes

Multiple Choice

What is Dilation?

Dilation means to enlarge or reduce

Dilation means to reflect on something

Dilation means to like something

Dilation means to make something different by making it smaller

Dilation

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