Dilations, Similarity, Scale Factor

Dilations, Similarity, Scale Factor

8th Grade

10 Qs

quiz-placeholder

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Dilations, Similarity, Scale Factor

Dilations, Similarity, Scale Factor

Assessment

Quiz

Mathematics

8th Grade

Practice Problem

Hard

CCSS
HSG.SRT.A.2, 8.G.A.3, HSG.SRT.B.5

+3

Standards-aligned

Created by

Anthony Clark

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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)

Tags

CCSS.8.G.A.3

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Are the two polygons similar? If not, explain why. (They are not drawn to scale, but you can assume all angles are 90°.)

Yes

No; Not enough information to tell

No; 5 ⁄ 25 ≠ 6 ⁄ 10

No; 5 ⁄ 25 ≠ 8 ⁄ 41

Tags

CCSS.HSG.SRT.B.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an enlargement.

2 / 5; reduction

5 / 2; enlargement

2 / 3; reduction

3 / 2; enlargement

Tags

CCSS.8.G.A.3

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Describe the similarity transformation that maps to (dilations have a center at the origin).

a dilation with a scale factor of 2 followed by a translation 4 units right and 3 units down.

a dilation with a scale factor of 1 / 2 followed by a translation 4 units left and 3 units up.

Translation 4 units right and 3 units down followed by a dilation with a scale factor 2.

Translation 4 units left and 3 units up followed by a dilation with a scale factor 1 / 2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

5.

OPEN ENDED QUESTION

1 min • Ungraded

Media Image

The two polygons are similar.

Find the value of x

Find the scale factor

Find the ratio of the perimeter.


Value of x: ____, Scale factor: ____, Ratio of perimeter: ____

Evaluate responses using AI:

OFF

Tags

CCSS.HSG.SRT.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(x, y) −> (2x, 2y)

(x, y) −> (1/2x, 1/2y)

(x, y) −> (-2x, -2y)

(x, y) −> (2x, 1/2y)

Tags

CCSS.8.G.A.3

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If two polygons are SIMILAR, then the corresponding sides must be _____.

Congruent

Proportional

Parallel

similar

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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