Question #6434741Single Choice

Geometry

Question

An engineer is designing two

An engineer is designing two metal triangular plates to be used as structural supports. The dimensions of both plates are measured, and it is found that:

Side 1 of Plate A is equal in length to Side 1 of Plate B.

Side 2 of Plate A is equal in length to Side 2 of Plate B.

Side 3 of Plate A is equal in length to Side 3 of Plate B.

The engineer wants to confirm that these two plates will fit perfectly in a symmetrical design without any gaps or misalignment.

Which of the following conclusions must be true?

Options

A
    The two plates are identical in shape and size due to SSS Congruence.
B
    The two plates may be similar but not necessarily congruent.
C
    The two plates are mirror images of each other and thus not congruent.
D
    No conclusion can be made without knowing the angles.

Answer & Analysis

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