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प्रश्न
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.
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उत्तर
ΔSMA and ΔOPT
∠S ≅ ∠O ....[corresponding angles are equal]
∠A ≅ ∠T ....[corresponding angles are equal]
SM ≅ OP ....[corresponding sides are equal]
Here, the two triangles are congruent by the ASA test, in the correspondence SMA ↔ OPT.
संबंधित प्रश्न
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
The following figure 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:
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In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
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 the figure, AB = EF, BC = DE, AB and FE are perpendiculars on BE. Prove that ΔABD ≅ ΔFEC
In ΔABC, X and Y are two points on AB and AC such that AX = AY. If AB = AC, prove that CX = BY.
∆ABC and ∆PQR are congruent under the correspondence:
ABC ↔ RQP
Write the parts of ∆ABC that correspond to
(i) `bar"PQ"`
(ii)∠Q
(iii) `bar"RP"`
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If ∆PQR is congruent to ∆STU (see figure), then what is the length of TU?
