Similar Polygons Worksheet

Grade 9 Math worksheet on similar polygons, covering properties, scale factors, and problem-solving.

Grade 9 Math GeometrySimilar Polygons

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseLong Answer

Standards

CCSS.MATH.CONTENT.HSG.SRT.A.2CCSS.MATH.CONTENT.HSG.SRT.B.5

Topics

MathGeometrySimilar PolygonsGrade 9

7 sections · Free to use · Printable

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Similar Polygons: Properties and Scale Factors

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Read each question carefully and provide clear, concise answers. Show all your work for problems requiring calculations.

1. Which of the following statements is true for similar polygons?

Corresponding sides are congruent.

Corresponding angles are congruent.

The ratio of corresponding sides is 1:1.

All sides are equal in length.

2. If two polygons are similar, and the ratio of their corresponding sides is 3:5, what is the ratio of their perimeters?

3:5

9:25

5:3

25:9

3. If two polygons are similar, their corresponding angles are .

4. The ratio of the perimeters of two similar polygons is equal to the ratio of their .

5. Two similar rectangles have corresponding sides in the ratio 2:3. If the perimeter of the smaller rectangle is 20 cm, what is the perimeter of the larger rectangle?

6. Triangle ABC is similar to Triangle DEF. If AB = 6 cm, BC = 8 cm, AC = 10 cm, and DE = 9 cm, find the lengths of EF and DF.

7. All squares are similar polygons.

True

False

8. All rectangles are similar polygons.

True

False

9. Explain the difference between congruent polygons and similar polygons.