Dilations & Similar & Congruent

Presentation

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Mathematics

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8th Grade

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Practice Problem

•

Medium

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CCSS

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

Standards-aligned

Erin Carr

Used 47+ times

FREE Resource

0 Slides • 20 Questions

Multiple Choice

What scale factor was used to produce the image?

1/3

1/2

Multiple Choice

What scale factor was used to produce the image?

-2

¹/₂

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 r = 2.

(2,4.5)

(-8,-18)

(8,18)

(9,4)

Multiple Choice

Dilate Point B by a scale factor of 1/2

(1.5,-4)

(-1.5,1)

(-1,-1.5)

(-2,-2)

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 less than one, the dilation is a reduction.

True

False

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

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

Multiple Choice

A dilation is which of the following:

only an enlargement

only a reduction

Either an enlargement or a reduction

Neither an enlargement or a reduction

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

Which two figures are congruent?

Figures A and B

Figures A and C

Figures A and D

Figures C and D

Multiple Choice

Two figures are ______ if one can obtained from the other by a series of transformations and dilations.

similar

scale factor

correspomnding parts

similar polygons

Multiple Choice

Triangle ABC has vertices A(0,0), B(2,4), C(6,0). Match each image with the description of its transformation.

A'(0, 0), B'(2, -4), C'(6, 0)

Similar; a dilation with a scale factor of 1/2

Congruent; a 90 degree cockwise notation about the origin

Congruent; a reflection over the x-axis

SImilar: a translation of

(x +1, y - 3) followed by a dilation with a scale factor of 2

Multiple Choice

Which transformation(s) create(s) congruent figures?

Dilation

Translation, Reflection, Rotation

Dilation and Translation

Dilation and Reflection

Multiple Choice

Which transformation(s) create(s) similar figures?

Dilation

Translation, Reflection, and Rotation

Translation and Reflection

Reflection and Rotation

Multiple Choice

When talking about figures on a coordinate plane, what does "congruent" mean?

Same shape, same size

Same shape, size changes

Different shape, different size

Same shape, different size

Multiple Choice

When talking about figures on a coordinate plane, what does "similar" mean?

Same shape, side lengths are proportional and angle measure are the same

Same shape, side length are different and angles are different

Different shape, different sizes

Shapes sort of the same, but sides and angles are different

Multiple Choice

Fill in the blank: A dilation creates ___________ figures.

Congruent

Similar

Multiple Choice

Fill in the blank: Reflections create __________ figures.

Similar

Congruent

Multiple Choice

Which of the statements is true about the graphed triangles?

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

What scale factor was used to produce the image?

1/3

1/2

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