Advertisements
Advertisements
Question
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side BC of ∆ABC so that the two triangles are congruent? Give reason for your answer.
Advertisements
Solution
Given: In triangle ABC and PQR,

∠A = ∠Q and ∠B = ∠R ...[Given]
BC = RP ...[For the triangle to be congruent]
Hence, it will be congruent by AAS congruent rule.
APPEARS IN
RELATED QUESTIONS
In a squared sheet, draw two triangles of equal areas such that
The triangles are not congruent.
What can you say about their perimeters?
Prove that the sum of three altitudes of a triangle is less than the sum of its sides.
In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC = 5 cm, then CD =

In the given figure, seg AB ≅ seg CB and seg AD ≅ seg CD. Prove that ΔABD ≅ ΔCBD.

In the given figure, ∠P ≅ ∠R seg, PQ ≅ seg RQ. Prove that, ΔPQT ≅ ΔRQS.

In the following diagram, AP and BQ are equal and parallel to each other.

Prove that:
- ΔAOP ≅ ΔBOQ.
- AB and PQ bisect each other.
In the given figure, prove that: ∆ ABD ≅ ∆ ACD

In the given figure, prove that:
(i) ∆ ACB ≅ ∆ ECD
(ii) AB = ED

In a triangle ABC, if D is midpoint of BC; AD is produced upto E such as DE = AD, then prove that:
a. DABD andDECD are congruent.
b. AB = EC
c. AB is parallel to EC
In the figure, AC = AE, AB = AD and ∠BAD = ∠EAC. Prove that BC = DE.
