What is the name of a polygon that has four congruent sides and these angle measures: $$ 60^{\circ}, 120^{\circ}, 60^{\circ}, 120^{\circ} $$ ? A. Rhombus B. Square C. Trapezoid D. Rectangle

Question

UpStudy AI · Accepted Answer

To determine the name of the polygon with four congruent sides and the given angle measures of $$ 60^{\circ}, 120^{\circ}, 60^{\circ}, 120^{\circ} $$, we can analyze the properties of the options provided:

1. **Rhombus**: A rhombus has all sides congruent and opposite angles that are equal. The angles can vary, but they must add up to $$ 360^{\circ} $$. In this case, the angles $$ 60^{\circ} + 120^{\circ} + 60^{\circ} + 120^{\circ} = 360^{\circ} $$, which is valid for a rhombus.

2. **Square**: A square has all sides congruent and all angles equal to $$ 90^{\circ} $$. Since the angles here are not $$ 90^{\circ} $$, this cannot be a square.

3. **Trapezoid**: A trapezoid has at least one pair of parallel sides. The angles given do not fit the definition of a trapezoid, as they do not indicate any parallel sides.

4. **Rectangle**: A rectangle has all angles equal to $$ 90^{\circ} $$ and opposite sides equal. Since the angles here are not $$ 90^{\circ} $$, this cannot be a rectangle.

Given the analysis, the polygon with four congruent sides and the specified angles is a **Rhombus**.

Thus, the answer is:
**A. Rhombus**.
The polygon is a Rhombus.

What is the name of a polygon that has four congruent sides and these angle measures: \( 60^{\circ}, 120^{\circ}, 60^{\circ}, 120^{\circ} \) ? A. Rhombus B. Square C. Trapezoid D. Rectangle

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Geometry Questions