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?

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Solution

By ASA congruence criterion, $Δ A B C ≅ Δ D C B$

AC = DB [by CPCT]

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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?

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Q. In the given figure, AB = AC and D is the midpoint of BC
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Question 153 (iii) Observe the following figure and state the three pairs of equal parts in ΔABC and ΔDBC. Is AC = DB? Why?

By ASA congruence criterion, ΔABC≅ΔDCB AC = DB [by CPCT]

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?

By ASA congruence criterion, $Δ A B C ≅ Δ D C B$

AC = DB [by CPCT]