Question

хA parallelogram has four angles that have the same measurements. Is it a square?Choose Yes or No to tell if the answer and explanation are correctYes. Only squares have four angles that have the same measurements. ChooseYes. It could be a square if all sides also have the same measurements. Choose.No. If the sides are not the same length, it is not a square, ChooseNo. The figure is a rhombus. Choose

Answer 1

• No

,

• Yes

,

• Yes

,

• No

Explanation:

Given: A parallelogram in which the four angles have the same measurements.

Statement 1: Yes. Only squares have four angles that have the same measurements.

The first statement is wrong as a result of the fact that the angles in a rectangle are all 90 degrees, and hence are the same.

• Choose:, No

Statement 2: Yes. It could be a square if all sides also have the same measurements.

This statement is correct. If in addition to the angles being equal (at 90 degrees each), the sides have the same measurements, then the parallelogram is a square.

• Choose: ,Yes

Statement 3: No. If the sides are not the same length, it is not a square.

This statement is correct. Although the angles are equal, once the side lengths are not the same, it cannot be a square.

• Choose: ,Yes

Statement 4: No. The figure is a rhombus.

This statement is wrong. The measures of the angles in a rhombus are not all equal. If it were, then it would be a square.

• Choose:, No