Corresponding Parts in Geometry
This worksheet focuses on identifying and using corresponding parts of congruent and similar figures, including triangles and polygons, at a Grade 10 level.
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Corresponding Parts in Geometry
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. If two triangles are congruent, which of the following statements is always true?
Their corresponding angles are proportional.
Their corresponding sides are proportional.
Their corresponding angles are congruent.
Their areas are proportional.
2. Triangles ABC and DEF are similar. If AB = 6, BC = 8, and DE = 9, what is the length of EF?
10
12
14
16
1. If two polygons are congruent, then their corresponding sides are and their corresponding angles are .
2. When two figures are similar, the ratio of their corresponding side lengths is called the .
1. Consider two triangles, ΔXYZ and ΔPQR. If ΔXYZ ≅ ΔPQR, list all pairs of corresponding congruent angles and sides.
1. All squares are similar to each other.
True
False
2. If two rectangles have proportional sides, they are congruent.
True
False
1. Two similar pentagons have corresponding sides in the ratio of 3:5. If the perimeter of the smaller pentagon is 45 units, what is the perimeter of the larger pentagon?
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