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Mathematics
10. Congruent Triangles
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Q5 of 76 Page 11

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

Yes, the two given triangles are congruent because AC = CE, BC= CD

And ∠B = ∠D= 90°.


Therefore by SSA criteria triangle ABC is congruent to triangle CDE.


More from this chapter

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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?

4

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

6

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

7

Find the measure of each angle of an equilateral triangle.

Questions · 76
10. Congruent Triangles
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