Question

In the following figure, state the condition you would use to show that triangle ∆ABC and ∆CDE are congruent.


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Answer 1

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In the following figure, state the condition you would use to show that △ABC and △CDE are congruent.

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i)

In △ABC and △CDE

AC=CE Given

BC=CD Given

∠ACB=∠DCE Vertically opposite angles

From SAS theorem, △ABC≅△CDE

ii)

In △ABC and △ADC

AD=BC sides of a rhombus are equal

AB=CD sides of a rhombus are equal

AC=AC Base remains the same.

From SSS theorem, △ABC≅△ADC

Step-by-step explanation:

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