Similar and Congruent Shapes Worksheet
Grade 8 math worksheet focusing on identifying, analyzing, and applying properties of similar and congruent shapes, including scale factor and transformations.
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Similar and Congruent Shapes
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which of the following statements is true about congruent shapes?
They have the same shape but different sizes.
They have the same size but different shapes.
They have the same shape and the same size.
They are always reflections of each other.
2. If two triangles are similar, what can you conclude about their corresponding angles?
They are congruent.
They are proportional.
They add up to 180 degrees.
They are complementary.
1. All congruent shapes are also similar shapes.
True
False
2. If two shapes are similar, their corresponding sides must be equal in length.
True
False
1. Two shapes are if they have the same shape but not necessarily the same size.
2. The ratio of corresponding side lengths in similar figures is called the .
1. Triangle ABC has side lengths 3 cm, 4 cm, and 5 cm. Triangle DEF is similar to Triangle ABC with a scale factor of 2. What are the side lengths of Triangle DEF?
2. Explain how you can determine if two rectangles are congruent.
Use the diagram below to answer the following questions.
1. Are Triangle A and Triangle B similar, congruent, or neither? Explain your reasoning.
Match each term with its correct definition.
1. Congruent
a. Having the same shape but different sizes.
2. Similar
b. Having the same shape and the same size.
3. Scale Factor
c. The ratio of corresponding side lengths in similar figures.
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