The other proof that the image is a rectangle is:
QM ≅ PN
How to find the properties of a rectangle?
The properties of a rectangle are as follows:
- It is a quadrilateral with four sides and four vertices.
- Each interior angle measures 90 degrees.
- The opposite sides are parallel and equal in length.
- The diagonals bisect each other and are of equal length.
- The perimeter of a rectangle with side lengths (a) and (b) is (2a + 2b) units.
- The area of a rectangle with side lengths (a) and (b) is given by the formula (ab) square units.
We are given that:
MP ≅ QN
MN ≅ QP
Since we are given that the diagonals are equal.
We are also given that two sides are congruent.
Thus, the other two sides are congruent. Thus:
QM ≅ PN