Corresponding Parts in Geometry
Grade 12 Geometry worksheet focusing on identifying and proving corresponding parts of congruent and similar figures.
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Corresponding Parts in Geometry
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Read each question carefully and provide clear, concise answers. Show all your work for full credit.
1. If two triangles are congruent, which statement about their corresponding parts is always true?
Their corresponding angles are proportional.
Their corresponding sides are proportional.
Their corresponding angles are equal and corresponding sides are equal.
Their areas are proportional to the square of their corresponding sides.
2. If triangle ABC is similar to triangle DEF, which of the following is true?
∠A = ∠D, ∠B = ∠E, ∠C = ∠F
AB = DE, BC = EF, CA = FD
∠A = ∠B, ∠D = ∠E
AB/DE = BC/FD = CA/EF
3. When two figures are congruent, all of their parts are equal.
4. If two polygons are similar, their corresponding angles are and their corresponding sides are .
5. Consider two triangles, ΔXYZ and ΔPQR. If ΔXYZ ≅ ΔPQR, list all pairs of corresponding angles and corresponding sides.
6. Given that quadrilateral ABCD ~ quadrilateral EFGH, explain what this statement implies about their angles and sides.
7. In the diagram below, ΔABC is congruent to ΔA'B'C'. Identify the transformation that maps ΔABC to ΔA'B'C' and list three pairs of corresponding vertices.
Transformation:
Corresponding Vertices:
8. Observe the similar rectangles below. What is the scale factor from Rectangle 1 to Rectangle 2? Label the corresponding sides.
Scale Factor:
Corresponding Sides:
9. If two figures are similar, then they must also be congruent.
True
False
10. Corresponding angles of similar triangles are always equal.
True
False