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Congruent Triangles

Question 153 ...

Question

Question 153 (ii)

Observe the following figure and state the three pairs of equal parts in $Δ A B C$ and $Δ D B C$ .
Is AB = DC? Why?

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Solution

$∠ A B C = ∠ D C B$
$∠ A C B = ∠ D B C$
BC = BC [Common side ]
By ASA congruence criterion, $Δ A B C ≅ Δ D C B$

AB = DC [by CPCT]

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Question 153 (iii)

Observe the following figure and state the three pairs of equal parts in $Δ A B C$ and $Δ D B C$ .
Is AC = DB? Why?

Question 153 (i)

Observe the following figure and state the three pairs of equal parts in $Δ A B C$ and $Δ D B C$ .
Is $Δ A B C ≅ Δ D C B$ ? Why?

Question 158

In the given figure, state the three pairs of equal parts in $Δ A B C$ and $Δ E O D$ . Is $Δ A B C ≅ Δ E O D$ ? Why?

In figure AD = DC and AB = BC

(i) Is ΔABD ≅ ΔCBD?

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

Question 49

If $Δ A B C$ and $Δ D B C$ are on the same base BC, AB = DC and AC = DB as shown in the figure, then which of the following gives a congruence relationship?

a) $Δ A B C ≅ Δ D B C$
b) $Δ A B C ≅ Δ C B D$
c) $Δ A B C ≅ Δ D C B$
d) $Δ A B C ≅ Δ B C D$

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Congruent Triangles

Standard VII Mathematics

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