Question

3. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it
1. The angles of quadrilateral are
quadrilateral
2.
If the diagonals of a parallelogram are equal, then show that it is a rectangle
is a rhombus.
are are equal and bisect each other at right angles​

Answer 1

Answer:

The marked ones are your answers

Hope this helps

Answer 2

Step-by-step explanation:

Take quadrilateral ABCD , AC and BD are diagonals which intersect at O.

In △AOB and △AOD

DO=OB ∣ O is the midpoint

AO=AO ∣ Common side

∠AOB=∠AOD ∣ Right angle

So, △AOB≅△AOD

So, AB=AD

Similarly, AB=BC=CD=AD can be proved which means that ABCD is a rhombus.