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3) Given the diagram below, if ZOMN = MNO, what must be true? I need help

3) Given the diagram below, if ZOMN = MNO, what must be true? I need help-example-1

1 Answer

4 votes

Given:

∠OMN ≅ ≅MNO

Let's find the correct statement.

From the figure given, measure of angle OMN is congruent to measure of angle MNO.

Since both measures are equal.

Thus, we can say triangle MNO is an isosceles triangle because the base angles ∠∠OM and N∠MN are congruent.

An isosceles triangle has equal base angles and the legs of an isosceles triangle are also equal.

From the equal angles we have, the legs of triangle MNO are OM and ON.

Therefore, we can say that side OM and ON are congruent.

Thus, we have:

OM O ON

ANSWER:

OM ON

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