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प्रश्न
Complete the congruence statement:
ΔBCA ≅?
ΔQRS ≅?
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उत्तर
Given that, BC = BT
TA = CA
BA is common.
Therefore, ΔBCA ≅ ΔBTA
Similarly, PQ = RS
TQ = QS
PT = RQ
Therefore, ΔQRS ≅ ΔTPQ
संबंधित प्रश्न
Prove that the sum of three altitudes of a triangle is less than the sum of its sides.
As shown in the following figure, in ΔLMN and ΔPNM, LM = PN, LN = PM. Write the test which assures the congruence of the two triangles. Write their remaining congruent parts.
The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that: (i) BN = CM (ii) ΔBMC ≅ ΔCNB
State, whether the pairs of triangles given in the following figures are congruent or not:
Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).
In the figure, ∠CPD = ∠BPD and AD is the bisector of ∠BAC. Prove that ΔCAP ≅ ΔBAP and CP = BP.
In ΔABC, AB = AC and the bisectors of angles B and C intersect at point O.Prove that BO = CO and the ray AO is the bisector of angle BAC.
In ΔPQR, LM = MN, QM = MR and ML and MN are perpendiculars on PQ and PR respectively. Prove that PQ = PR.
Prove that in an isosceles triangle the altitude from the vertex will bisect the base.
Two figures are congruent, if they have the same shape.
