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Answer:
A regular polygon is a polygon that is equilateral and equiangular.
The only regular quadrilateral is the square.
We know that all the interior angles of a square are 90° each, so we are fine with that.
Now, for the exterior angles.
If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.
Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:
this is:
360° - 90° = 270°
Below is an image as a guide of this.
Observe the figure given.
Given: ABCD is a parallelogram.
To prove: ABCD is a rhombus
Statement
1. ABCD is a parallelogram. AC bisects .
Reason: Given
2.
Reason: Definition of an angle bisector
3.
Reason: Reflexive property of congruence
4.
Reason: ASA Postulate
5.
Reason: corresponding parts of congruent triangles are equal.
6.
Reason: Opposite sides of the parallelogram are congruent.
7.
Reason: Transitive property of congruence
8. ABCD is a rhombus
Reason: Definition of rhombus