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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.

Grade 10 Math GeometryCorresponding Parts
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.CO.B.7CCSS.MATH.CONTENT.HSG.SRT.A.2

Topics

GeometryCorresponding PartsCongruenceSimilarityGrade 10
7 sections · Free to use · Printable
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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?

a

Their corresponding angles are proportional.

b

Their corresponding sides are proportional.

c

Their corresponding angles are congruent.

d

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?

a

10

b

12

c

14

d

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.

XYZPQR

1. All squares are similar to each other.

T

True

F

False

2. If two rectangles have proportional sides, they are congruent.

T

True

F

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?