Answer:
B- Parallelogram PQRS is also a rhombus.
Step-by-step explanation:
Given
Parallelogram PQRS with perpendicular diagonals
Required
Which of the option is true
(a) PQRS can be a rectangle
A rectangle do not have perpendicular diagonals.
Hence, (a) is false
<em>If (a) is false, then (d) is also false</em>
(b) PQRS can a rhombus
The diagonals of a rhombus are not perpendicular.
So (b) <em>is true</em>
<em>No need to check for (c), since only option is true</em>
Answer:
See below.
Step-by-step explanation:
From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.
As the base angles are congruent m < E = m < R.
So the are 2 triangles are congruent by SAS, ASA and AAS.