Grade 8 Similarity Worksheet
This worksheet focuses on understanding and applying the concepts of similar figures, including identifying corresponding angles and sides, and using scale factors to solve problems.
Includes
Standards
Topics
Similarity in Geometry
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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 figures?
They have the same size and shape.
They have the same shape but different sizes.
They have different shapes but the same size.
They have different shapes and different sizes.
2. If two triangles are similar, their corresponding angles are:
Congruent
Proportional
Complementary
Supplementary
3. If two figures are similar, the ratio of their corresponding side lengths is called the .
4. Similar figures have corresponding angles that are and corresponding sides that are .
5. Triangle ABC is similar to Triangle DEF. If AB = 6 cm, BC = 8 cm, AC = 10 cm, and DE = 9 cm, what is the scale factor from Triangle ABC to Triangle DEF? What are the lengths of EF and DF?
6. All squares are similar to each other.
True
False
7. All rectangles are similar to each other.
True
False
8. A tree casts a shadow 15 meters long. A 1.8-meter tall person standing nearby casts a shadow 2.5 meters long. How tall is the tree?