Question

what is the name of a polygon that has four congruent sides and these angle measures: 70°, 110°, 70°, 110°?
a. trapezoid
b. pentagon
c. square
d. rhombus

Explanation:

• A trapezoid has only one pair of parallel sides and does not necessarily have four congruent sides.
• A pentagon has five sides, which does not match the description of a four - sided polygon.
• A square has four congruent sides and four right angles (\(90^{\circ}\)), but the given angles are \(70^{\circ},110^{\circ},70^{\circ},110^{\circ}\).
• A rhombus has four congruent sides. Also, in a rhombus, opposite angles are equal. Here, we have two pairs of equal angles (\(70^{\circ}\) and \(110^{\circ}\)) which is consistent with the properties of a rhombus.

Answer:

D. Rhombus