## Related questions with answers

Question

True or false? Justify your reasoning.

a. All isosceles triangles are congruent.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 2Isosceles triangles are triangles with one pair of congruent sides. Consider the following examples $\Delta{ABC}$ and $\Delta{DEF}$:

Note that both are isosceles triangles since both has one pair of congruent sides and yet $\Delta{ABC}$ is larger than $\Delta{DEF}$. Hence, all isosceles triangles are not necessarily congruent and the statement is **false**.

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