Q. 1493.5( 8 Votes )

# State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

A. ∆PQR : PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°

∆STU : ST = 3.5 cm, TU = 4 cm, ∠T = 60°

B. ∆ABC : AB = 4.8 cm, A = 90°, AC = 6.8 cm

∆XYZ : YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm

Answer :

PQ = ST

QR = TU

∠Q = ∠T

Hence; both triangles are congruent by SAS criterion

Δ PQR ≅ Δ STU

(b) AB = XZ

∠A = ∠X

YZ≠BC (Hypotenuse )

AC≠XY

Hence; both triangles are not congruent neither by RHS nor by

SAS congruence criterion

Rate this question :

If are to be congruent, name one additional pair of corresponding parts. What criterion did you use?

NCERT Mathematics

In Fig. 6.57, state the three pairs of equal parts in ∆ABC and ∆EOD. Is ∆ABC ≅ ∆EOD? Why?

NCERT - Exemplar Mathematics

In Fig. 6.55, QS ⊥ PR, RT ⊥ PQ and QS = RT.

(i) Is ∆QSR ≅ ∆RTQ? Give reasons.

(ii) Is ∠PQR = ∠PRQ? Give reasons.

NCERT - Exemplar MathematicsIn each of the given pairs of triangles of Fig. 6.43, using only RHS congruence criterion, determine which pairs of triangles are congruent. In case of congruence, write the result in symbolic form:

NCERT - Exemplar Mathematics

Explain, why

NCERT Mathematics