Grade 9 Math: Similarity
This worksheet covers key concepts of similarity, including similar polygons, scale factors, and solving problems involving similar figures for Grade 9 Math students.
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Grade 9 Math: Similarity
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which of the following statements is true about similar polygons?
Corresponding sides are congruent.
Corresponding angles are congruent.
They must have the same size.
Their perimeters are always equal.
2. If two triangles are similar, and the ratio of their corresponding sides is 3:1, what is the ratio of their areas?
3:1
1:3
9:1
1:9
3. Two polygons are similar if their corresponding angles are and their corresponding sides are .
4. The ratio of the lengths of corresponding sides of two similar polygons is called the .
5. Triangle ABC has side lengths 6, 8, and 10. Triangle DEF is similar to ABC and has a perimeter of 36. What are the side lengths of Triangle DEF?
6. All squares are similar.
True
False
7. All rectangles are similar.
True
False
Match each term with its definition.
8. Similar Polygons
a. The ratio of corresponding sides
9. Scale Factor
b. Polygons with congruent corresponding angles and proportional corresponding sides
10. Congruent
c. Having the same size and shape
11. A flagpole casts a shadow 15 feet long. At the same time, a 5-foot tall person casts a shadow 3 feet long. How tall is the flagpole?