Question

which shape has parallel sides and perpendicular sides?
shape a
shape b
shape c
shape d
a. shape d
b. shape b
c. shape c
d. shape a

Explanation:

To determine which shape has both parallel and perpendicular sides, we analyze each option:

• Shape D (Triangle): Triangles have no parallel sides (except in special cases like the degenerate triangle, which is not the case here) and no perpendicular sides in a general triangle. So it is not the answer.
• Shape B (Trapezoid - non - right): A non - right trapezoid has one pair of parallel sides but no perpendicular sides (since the non - parallel sides are not at right angles to the parallel sides).
• Shape C (Square): A square has two pairs of parallel sides (opposite sides are parallel) and all adjacent sides are perpendicular to each other (since the interior angles of a square are \(90^{\circ}\)).
• Shape A (Rhombus): A rhombus has two pairs of parallel sides, but its angles are not necessarily \(90^{\circ}\), so it does not have perpendicular sides (unless it is a square, but a general rhombus is not a square).

Answer:

C. Shape C