quadrilateral PQRS, PQ=PS and RQ=RS, prove that angle PQR = angle PSR
Answers
Proved ∠PQR = ∠PSR.
To prove : ∠PQR = ∠PSR
Given :
- Quadrilateral PQRS.
- PQ = PS
- RQ = RS
Proof :
From the figure,
In quadrilateral PQRS,
Given that ⇒ PQ = PS
Common side ⇒ PR = PR
Given that ⇒ RQ = RS
By SSS (Side - Side - Side) test,
ΔPQR ≅ ΔPSR
Then, the corresponding angles of congruent triangle
∠PQR = ∠PSR
Hence, proved that ∠PQR = ∠PSR.
To learn more...
1. In quadrilateral PQRS, PQ = PS and PR bisects angleP.
Show that trianglePRQ congruent to triangle PRS.
What can you say about QR and SR?
brainly.in/question/10132798
2. PQRS is a kite in which PQ=PS and QR=SR.Show that PR is the perpendicular bisector of diagonal QS.
brainly.in/question/987102
Answer:
Proved ∠PQR = ∠PSR.
To prove : ∠PQR = ∠PSR
Given :
Quadrilateral PQRS.
PQ = PS
RQ = RS
Proof :
From the figure,
In quadrilateral PQRS,
Given that ⇒ PQ = PS
Common side ⇒ PR = PR
Given that ⇒ RQ = RS
By SSS (Side - Side - Side) test,
ΔPQR ≅ ΔPSR
Then, the corresponding angles of congruent triangle
∠PQR = ∠PSR
Hence, proved that ∠PQR = ∠PSR.
To learn more...
1. In quadrilateral PQRS, PQ = PS and PR bisects angleP.
Show that trianglePRQ congruent to triangle PRS.
Step-by-step explanation: