Question

question 40 of 40

what is the name of a polygon that has four congruent sides and these angle measures: \\(70^\circ, 110^\circ, 70^\circ, 110^\circ\\)?

a. square
b. pentagon
c. trapezoid
d. rhombus

Explanation:

Analyze the given properties of the polygon

• Number of sides: 4 (since there are four angle measures given: \(70^\circ\), \(110^\circ\), \(70^\circ\), \(110^\circ\)).
• Side lengths: Four congruent sides.
• Angle measures: Opposite angles are equal (\(70^\circ\) and \(110^\circ\)), but they are not right angles (\(90^\circ\)).

Match properties with quadrilateral definitions

• A quadrilateral with four congruent sides is defined as a rhombus.
• A square also has four congruent sides, but it must have four right angles (\(90^\circ\)). Since the given angles are not \(90^\circ\), the polygon is a rhombus.

Answer:

• A. Square
• B. Pentagon
• C. Trapezoid
• D. Rhombus (Correct answer)