In the adjoining figure, QX and RX are the bisectors of the angles Q and R respectively of the triangle PQR. If XS⊥QR and XT⊥PQ ; then i) ΔXTQ≅ΔXSQ ii) PX bisects angle P.
both statement is ___
True
False
A
True
B
False
Open in App
Solution
Verified by Toppr
Was this answer helpful?
9
Similar Questions
Q1
In the adjoining figure, QX and RX are the bisectors of the angles Q and R respectively of the triangle PQR. If XS⊥QR and XT⊥PQ ; then i) ΔXTQ≅ΔXSQ ii) PX bisects angle P.
both statement is ___
View Solution
Q2
In the given figure, ∠P = 40°, ∠Q= 90°, and PQ = 12 m. PX and QX are the respective angle bisectors of P and Q. If PX and QX are bisected perpendicularly by AY and BZ, respectively, then ∠YXZ is:
View Solution
Q3
In the figure, QX and RX are the bisectors of angles Q and R respectively of △PQR. If XS⊥QR and XT⊥QR, then △XTQ≅△XSQ by __________ congruency.
View Solution
Q4
In the given figure, ∠P=30∘, ∠Q=90∘, and PQ=11m. PX and QX are the respective angle bisectors of P and Q. If PX and QX are bisected perpendicularly by AY and BZ respectively, then ∠YXZ is:
View Solution
Q5
In ΔPQR,∠Q=350,∠R=610 and the bisector of ∠QPR meet QR at x. Then arrange the sides PX,QX and RX in descending order of their length.