Rd sharma solutions
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Congruence | Congruence Exercise 16.5

Question 2

Δ ABC is isosceles with AB = AC. AD is the altitude from A on BC.

(i) Is ΔABD ≅ ΔACD?

(ii) State the pairs of matching parts you have used to answer (i).

(iii) Is it true to say that BD = DC?

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(i) Yes, ΔABD ≅ ΔACD by RHS congruence condition.

(ii) We have used Hypotenuse AB = Hypotenuse AC AD = DA

∠ADB = ∠ADC = 90o (AD ⊥ BC at point D)

(iii) Yes, it is true to say that BD = DC (corresponding parts of congruent triangles) Since we have already proved that the two triangles are congruent.

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Our top 5% students will be awarded a special scholarship to Lido.

subject-cta

Question 2

Δ ABC is isosceles with AB = AC. AD is the altitude from A on BC.

(i) Is ΔABD ≅ ΔACD?

(ii) State the pairs of matching parts you have used to answer (i).

(iii) Is it true to say that BD = DC?

Looking to do well in your science exam ? Learn from an expert tutor. Book a free class!

(i) Yes, ΔABD ≅ ΔACD by RHS congruence condition.

(ii) We have used Hypotenuse AB = Hypotenuse AC AD = DA

∠ADB = ∠ADC = 90o (AD ⊥ BC at point D)

(iii) Yes, it is true to say that BD = DC (corresponding parts of congruent triangles) Since we have already proved that the two triangles are congruent.

Our top 5% students will be awarded a special scholarship to Lido.

subject-cta
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