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AssignmentMultiple Select

Volume of Cylinders, Cones, and Spheres

Question 1 • (OC27) GEO-1206310-S2-Degele-VOL7006P

Which properties are necessary to claim that the two prisms are congruent? Check all that apply.

Answer
A
The lengths of corresponding edges are in a 1:1 ratio.
B
The volumes are equal.
C
Corresponding angles have different measures.
D
Corresponding faces are not congruent.
E
The base areas are equal.
F
The prisms have the same height.

Explanation

Congruent prisms have the same size and shape, so their corresponding edge lengths are equal (a 1:1 ratio), their volumes are equal, and their base areas and heights are equal. Corresponding angles must also match, and corresponding faces must be congruent, so choices C and D describe the opposite of congruence.

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