Question

in figures 1,2and 3, length of the sides of the triangles are indicated. by applying the SSS congruence rule, state which pairs of triangles are congruent triangles. write the result in symbolic form.

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Answer 1

In fig 1

AB = EF (Given)

BC = FD(Given)

AC = ED(Given)

So, therefore by SSS,

Triangle ABC =~ Triangle EFD

Therefore, Figures 1 are congruent

In fig 2

AB = AD (Given)

BC = DC ( Given)

AC = CA (Common)

So, therefore by SSS,

Triangle ABC =~ Triangle ADC

Therefore, figures 2 are congruent

In fig 3

BO = CO (Given)

AO ≠ DO

BA ≠ DC

Now, as the two sides out of three are not equal,

Therefore triangles are not congruent.

So, we conclude that pairs of triangle in figure 1 and figure 2 are congruent but triangles in figure 3 are not congruent.

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Answer 2

Answer:

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