Congruent Figures Worksheet
Explore congruence in geometric figures with this Grade 7 math worksheet, covering definitions, identifying congruent parts, and transformations.
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Congruent Figures Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Which of the following statements best describes congruent figures?
Figures that have the same shape but different sizes.
Figures that have the same size but different shapes.
Figures that have the same shape and the same size.
Figures that are mirror images of each other.
2. Which transformation always produces a congruent figure?
Dilation
Rotation
Shear
Stretch
3. If two figures are congruent, all their corresponding sides are in length, and all their corresponding angles are in measure.
4. A is a transformation that moves every point of a figure or a space by the same distance in a given direction.
5. Consider the two triangles below. Are they congruent? Explain your reasoning.
6. A reflection is a rigid transformation that results in a congruent figure.
True
False
7. All squares are congruent to each other.
True
False
8. Triangle ABC is congruent to Triangle DEF. If angle A measures 45 degrees, what is the measure of angle D? Explain why.
Match the term with its definition.
9. Congruent
a. A transformation that turns a figure about a fixed point.
10. Rotation
b. Figures that have the same shape and size.
11. Translation
c. A transformation that slides a figure from one position to another.
12. Reflection
d. A transformation that flips a figure over a line.