Advertisements
Advertisements
प्रश्न
In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:
विकल्प
SAS
ASA
SSS
RHS
Advertisements
उत्तर
In ΔABC andΔPQR
It is given that
AB = RP
∠B = ∠P
∠A = ∠R
Since given two sides and an angle are equal so it obeys ASA
⇒ ΔABC ≅ ΔPQR
Hence (b) ASA.
APPEARS IN
संबंधित प्रश्न
BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.
In ΔPQR ≅ ΔEFD then ED =
If ΔPQR≅ ΔEFD, then ∠E =
In an isosceles triangle, if the vertex angle is twice the sum of the base angles, then the measure of vertex angle of the triangle is
In the given figure, ABC is a triangle in which ∠B = 2∠C. D is a point on side BC such that ADbisects ∠BAC and AB = CD. BE is the bisector of ∠B. The measure of ∠BAC is

Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,
in ΔPTQ and ΔSTR
seg PT ≅ seg ST
∠PTQ ≅ ∠STR ...[Vertically opposite angles]
∴ ΔPTQ ≅ ΔSTR ...`square` test
∴ `{:("∠TPQ" ≅ square),("and" square ≅ "∠TRS"):}}` ...corresponding angles of congruent triangles
seg PQ ≅ `square` ...corresponding sides of congruent triangles
In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.

In the given figure, prove that: ∆ ABD ≅ ∆ ACD

In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
PQRS is a quadrilateral and T and U are points on PS and RS respectively such that PQ = RQ, ∠PQT = ∠RQU and ∠TQS = ∠UQS. Prove that QT = QU.
