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Mathematics
10. Congruent Triangles
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Q4 of 76 Page 11

In two triangles ABC and ADC, if AB = AD and BC = CD. Are they congruent?

Yes, the given triangles are congruent as AB= AD, BC= CD and AC is a common side. Hence, by SSS theorem triangle ABC is congruent to triangle ADC.


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2

In two triangles ABC and DEF, it is given that ∠A = ∠D, ∠B = ∠E and ∠C = ∠F. Are the two triangles necessarily congruent?

3

If ABC and DEF are two triangles such that AC = 2.5 cm, BC = 5 cm, ∠C = 75°, DE = 2.5 cm, DF = 5 cm and ∠D = 75°. Are two triangles congruent?

5

In triangles ABC and CDE, if AC = CE, BC = CD, ∠A= 60°, ∠C= 30° and ∠D = 90°. Are two triangles congruent?

6

ABC is an isosceles triangle in which AB = AC. BE and CF are its two medians. Show that BE=CF.

Questions · 76
10. Congruent Triangles
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