On a line AB take four points P, Q, R and S in order such that PQ = RS state whether PR congruent to QS. Give reasons in support of your answer.
Answers
Answered by
42
We are given
PQ=RS
we observe that QR is the common segment.
So by axiom "When equals are added to equals the sums are equal"
PQ+QR=RS=QR
PR=QS
Hence provED
Answered by
16
PR congruent to QS if On a line AB take four points P, Q, R and S in order such that PQ = RS
Step-by-step explanation:
On a line AB take four points P, Q, R and S in order
=>
A P Q R S B
PQ = RS
A P Q R S B
<----x-----><---y----><----x------>
Let say PQ = RS = x
& QR = y
PR = PQ + QR
=> PR = x + y
QS = QR + RS
=> QS = y + x
=> QS = x + y
=> QS = PR
=> PR = QS
Hence PR congruent to QS
Learn more:
In the given figure. (i) Are DABC and DDCB congruent? (ii) Are ...
https://brainly.in/question/4903614
Prove that if two chords of a circle are equal then their ...
https://brainly.in/question/13454186
Similar questions