Advertisements
Advertisements
प्रश्न
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°).
Advertisements
उत्तर


In ΔABC and ΔXYZ
∠B = ∠X
BC = XY
∠Y = 180° - (70° + 60°) = 50°
∠C = ∠Y
Therefore,
ΔABC ≅ ΔXYZ ...(ASA criteria).
APPEARS IN
संबंधित प्रश्न
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangles in each pair are congruent.

By ______ test
ΔPRQ ≅ ΔSTU
In the following example, a pair of triangles is shown. Equal parts of triangle in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test
ΔLMN ≅ ΔPTR
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.

If the following pair of the triangle is congruent? state the condition of congruency:
In ΔABC and ΔPQR, BC = QR, ∠A = 90°, ∠C = ∠R = 40° and ∠Q = 50°.
In a circle with center O. If OM is perpendicular to PQ, prove that PM = QM.
In the figure, BC = CE and ∠1 = ∠2. Prove that ΔGCB ≅ ΔDCE.
In the figure, AB = EF, BC = DE, AB and FE are perpendiculars on BE. Prove that ΔABD ≅ ΔFEC
AD and BE are altitudes of an isosceles triangle ABC with AC = BC. Prove that AE = BD.
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if ______.
