Ananya is designing the window shown in the figure. She wants to make △PRQ congruent to △PRS. She designs the window so that PR ⊥ QS. Which of the following conditions will make the two triangles congruent?
PQ = PS
Both (A) and (B)
None of these
RQ = RS
A
None of these
B
RQ = RS
C
PQ = PS
D
Both (A) and (B)
Open in App
Solution
Verified by Toppr
In △PQS
⇒PR⊥QS
⇒ So, △PRQ and △PRS are right angled triangle.
⇒∠PRQ=∠PRS=90o [Given]
⇒ If PQ=PS and RQ=RS then, by RHS property △PRQ≅△PRS.
⇒ So, both condition in Option A and B required to make △PRQ≅△PRS
Was this answer helpful?
0
Similar Questions
Q1
Ananya is designing the window shown in the figure. She wants to make △PRQ congruent to △PRS. She designs the window so that PR ⊥ QS. Which of the following conditions will make the two triangles congruent?
View Solution
Q2
In the given figure, RS=QT and QS=RT. Then which of the following options is correct?
View Solution
Q3
Rani bought a piece of cloth for Rs. 950 and spent Rs. 300 on designing it. At what price should she sell it to make 30% profit?
View Solution
Q4
In the figure PR and QS are two diameters. Is PQ=RS?
View Solution
Q5
In △PRS in Figure 2, ¯¯¯¯¯¯¯¯RT is the altitude to side ¯¯¯¯¯¯¯¯PS, and ¯¯¯¯¯¯¯¯QS is the altitude to side ¯¯¯¯¯¯¯¯PR. If RT = 7, PR = 8, and QS = 9, calculate the length of side ¯¯¯¯¯¯¯¯PS.