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Geometry: Similar and Congruent Figures

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Questions and Answers

What characterizes similar figures?

They are equivalent but have different shapes.
They consist of congruent corresponding parts.
They have equal corresponding angles and proportional sides. (correct)
They have the same size and shape.

Which description applies to equivalent figures?

Figures that have the same shape but different sizes.
Figures that have the same shape and size.
Figures that are congruent to each other.
Figures that have the same size or value, but different shapes. (correct)

What defines congruent figures?

They always have proportional sides.
They are similar in shape but may vary in size.
They have the same shape, size, and corresponding parts that are congruent. (correct)
They are equivalent but differ in angles.

Which relationship is true for congruent figures?

<p>Corresponding parts of congruent figures must be congruent. (D)</p> Signup and view all the answers

Which of the following is an example of similar figures?

<p>Two triangles with equal angles but different lengths. (C)</p> Signup and view all the answers

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Study Notes

Similar Figures

Figures with the same shape but different sizes.
Corresponding angles are equal.
Corresponding sides are proportional.
Example: Triangles ABC and XYZ are similar (△ABC ~ △XYZ).

Equivalent Figures

Figures that have the same size or value but different shapes.
Example: Figure A, B, and C (shown with a rectangle and two triangles).

Congruent Figures

Figures with the same shape and size.
Corresponding parts of congruent figures are congruent.
Example: Triangles ABC and EFG are congruent (△ABC ≅ △EFG).

Corresponding Sides and Angles of Congruent Figures

AB = EF
BC = FG
AC = EG
∠A = ∠E
∠B = ∠F
∠C = ∠G

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