Determining Similarity Using Ratios

Determining Similarity Using Ratios

6th Grade

20 Qs

quiz-placeholder

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Determining Similarity Using Ratios

Determining Similarity Using Ratios

Assessment

Quiz

Mathematics

6th Grade

Practice Problem

Hard

CCSS
HSG.SRT.A.2, 8.G.A.2, HSG.SRT.B.4

+6

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Pick the correct Similarity Statement for the Triangles Shown.

ΔABC ~ ΔXYZ

ΔACB ~ ΔYZX

ΔCAB ~ ΔZXY

ΔABC ~ ΔZXY

Tags

CCSS.HSG.SRT.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the scale factor (common ratio) between the two triangles.

3/2

1

9/4

4/9

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine if the two figures are similar or not using common ratios.

Yes, because 6/4 = 8/6

No, because 6/4 does not equal 8/6

No, because 6/8 = 4/6

Yes, because 6/8 = 4/6

Tags

CCSS.HSG.SRT.A.2

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine if the two figures are similar or not using common ratios.

No, the ratios between corresponding sides are different.

No, because the sides aren't equal.

Yes, because all the ratios are 4 to 1

Yes, because all the ratios are 8 to 1

Tags

CCSS.HSG.SRT.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the sides of two similar triangles are in the ratio 2:3, and the perimeter of the smaller triangle is 18 cm, what is the perimeter of the larger triangle?

24 cm

27 cm

30 cm

36 cm

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two rectangles are similar. The first rectangle has sides of lengths 4 cm and 6 cm. If the second rectangle has a longer side of 9 cm, what is the length of its shorter side?

5.5 cm

6 cm

6.5 cm

7 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two similar cylinders have heights in the ratio 3:5. If the volume of the smaller cylinder is 81 cubic units, what is the volume of the larger cylinder?

135 cubic units

225 cubic units

243 cubic units

405 cubic units

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