In a right-angled triangle ABC, angle C = 35 degree and in another right-angled triangle PQR angle R = 35 degree. Then relation between the two triangles is: * 1 point Congruent. equal similar no relation
Answers
Step-by-step explanation:
Solution
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Correct option is
A
QR
Given, ∠A=∠Q, ∠B=∠R
Side AB lies between ∠A and ∠B and side QR lies between ∠Q and ∠R.
Hence, AB should be equal to QR as they are the corresponding sides.
The two triangles to be congruent by ASA rule.
Option 1:- Congruent
As per given data:
Two right angled triangles
In right angled triangle ABC , ∠C=35°
In right angled triangle PQR, ∠R=35°
Here,
One side of triangle ABC i.e Side AB lies in mid of ∠A & ∠B
Same as,
One side of triangle PQR i.e Side QR lies in mid of ∠Q & ∠R
hence AB side of triangle ABC must be correspond to QR side of triangle PQR as per A.S.A rule.
Here as per A.S.A ( Angle-Side-Angle) rule,
If two angle and the adjacent side of triangle are equal to the two angle and adjacent side of another triangle then the angle of correspondence are equal and the triangles are congruent.
Hence Option Congruent is the correct option.