Question

in which shape are all the faces congruent? a. z b. x c. y d. w

Explanation:

Step1: Recall face - congruence concept

Congruent faces have same shape and size.

Step2: Analyze shape W

Shape W is a triangular - based pyramid. Its base is a different shape from the triangular faces.

Step3: Analyze shape X

Shape X is a non - regular polyhedron. Its faces are not all congruent.

Step4: Analyze shape Y

Shape Y is a square - based pyramid. Its base is a square and the lateral faces are triangles, so not all faces are congruent.

Step5: Analyze shape Z

Shape Z is a cube. All 6 faces of a cube are congruent squares.

Answer:

A. Z