Question

Eriko cuts out a paper quadrilateral with two angles that each measure 60° and two angles that each measure 120°. Only two of the sides have a length of 3.2 inches.



Select all of the possible quadrilaterals that Eriko could have made.

Answer 1

Answer:

The quadrilateral is Parallelogram.

Step-by-step explanation:

A quadrilateral is a four-sided regular polygon.

A parallelogram is a quadrilateral.

The opposite sides of a parallelogram are parallel and equal in length.

The opposite angles of a parallelogram are also equal.

In this case the quadrilateral is defined as follows:

• two angles that each measure 60°
• two angles that each measure 120°
• Only two of the sides have a length of 3.2 inches.

Consider the quadrilateral ABCD below.

The quadrilateral ABCD is Parallelogram.

Answer 2

The possible quadrilaterals that Eriko could have made are parallelogram and isosceles trapezoid

The angles are given as:

$\theta = \{60,60,120,120\}$

The side lengths are given as:

$l =\{3.2, 3.2\}$

If the angles at the opposite corners are equal, then the shape is a parallelogram.

However, if the angles on the same base are equal, then the shape is an isosceles trapezoid

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