Grade 8 Congruent Figures Worksheet
This worksheet focuses on identifying and working with congruent figures, including transformations and properties of congruent triangles, suitable for Grade 8 math students.
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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 for short answer questions.
1. Which of the following statements is true about congruent figures?
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 triangle ABC is congruent to triangle DEF, which of the following is true?
AB = DE
∠A = ∠F
BC = DF
AC = EF
3. Two figures are if they have the same size and the same shape.
4. A is a transformation that moves every point of a figure or a shape by the same distance in a given direction.
5. Consider the two triangles below. Are they congruent? Explain your reasoning.
6. Describe a sequence of transformations (translation, rotation, reflection) that would map rectangle ABCD onto congruent rectangle A'B'C'D'.
7. All squares are congruent.
True
False
8. A dilation is a rigid transformation and preserves congruence.
True
False
Match each term with its definition.
9. Congruent
a. A transformation that turns a figure around a fixed point.
10. Rotation
b. Having the same size and shape.
11. Translation
c. A transformation that flips a figure over a line.
12. Reflection
d. A transformation that slides a figure from one position to another.