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Question

In the given figure, 1=2 and 3=4
Is ΔADCΔABC? Why?
Show that AD = AB and CD = CB
[3 marks]

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Solution

In ΔADC and ΔABC, 1=2 [given]
AC = AC [common side]
3=4 [given]
[1 mark]
By ASA congruence criterion, ΔADCΔABC
[1 mark]

AD = AB [by CPCT]
CD = CB [by CPCT]
[1 mark]

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