Grade 11 Math Worksheet: Similarity
This worksheet focuses on the concept of similarity in geometry, covering similar triangles, ratios, and scale factors for Grade 11 students.
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Grade 11 Math Worksheet: 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. Two polygons are similar if:
Their corresponding angles are congruent and corresponding sides are proportional.
Their corresponding angles are proportional and corresponding sides are congruent.
Their corresponding angles and sides are both congruent.
Their areas are equal.
2. If two triangles are similar, then the ratio of their corresponding sides is called the:
Congruence ratio
Scale factor
Perimeter ratio
Area ratio
1. If two triangles have corresponding angles that are equal, they are said to be .
2. The ratio of the perimeters of two similar polygons is equal to their .
1. Triangle ABC has sides 3, 4, 5. Triangle DEF has sides 6, 8, 10. Are these triangles similar? Explain your reasoning.
2. Consider two similar rectangles. The first rectangle has a length of 12 cm and a width of 8 cm. The second rectangle has a length of 18 cm. What is the width of the second rectangle?
1. All squares are similar to each other.
True
False
2. All rectangles are similar to each other.
True
False
1. A tree casts a 20-foot shadow. At the same time, a 6-foot tall person casts a 4-foot shadow. How tall is the tree?
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