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Congruent Figures Worksheet

Explore congruent figures with this Grade 7 math worksheet, covering identification, properties, and transformations.

Grade 7 Math GeometryCongruent Figures
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.8.G.A.2

Topics

congruent figuresgeometrytransformationsgrade 7 math
8 sections · Free to use · Printable
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Congruent Figures

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Read each question carefully and answer to the best of your ability. Show all your work when applicable.

1. Which of the following statements is true about congruent figures?

a

They have the same shape but different sizes.

b

They have the same size but different shapes.

c

They have the same shape and the same size.

d

They are always reflections of each other.

2. Two figures are   if they have the same size and the same shape.

3. A   is a transformation that moves every point of a figure or a space by the same distance in a given direction.

4. Identify if the two triangles below are congruent. Explain your reasoning.

5 cm4 cm4 cm
5 cm4 cm4 cm

5. If two figures are congruent, then all their corresponding angles are equal.

T

True

F

False

Match the transformation with its description.

6. Translation

 

a. Flipping a figure over a line

7. Reflection

 

b. Sliding a figure in a straight line

8. Rotation

 

c. Turning a figure around a fixed point

9. Plot the points A(1,1), B(3,1), C(2,3) to form a triangle. Then, translate the triangle 3 units to the right and 2 units up. Label the new vertices A', B', C'.

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