Question

is this shape a regular polygon?
(the image shows a quadrilateral with all sides labeled 207 and all angles labeled 90°. below the image, there are two buttons: yes and no, and a submit button. further down, there are sections like work it out with sub - questions like is it a polygon? and topics like regular and irregular polygons.)

Explanation:

Step1: Recall regular polygon definition

A regular polygon has all sides equal and all interior angles equal.

Step2: Analyze the given shape

The shape is a quadrilateral (4 sides). All sides are labeled 207 (so equal length), and all interior angles are \(90^\circ\) (so equal measure).

Step3: Compare with definition

Since all sides are equal and all interior angles are equal, it meets the criteria for a regular polygon (specifically a square, which is a regular quadrilateral).

Answer:

yes