2 years ago

How many parts are needed to prove triangles are congruent?

2 answers:

8 0

Two triangles are congruent if and only if they have the same three sides and the same three angles. That does not mean that the triangles are in the same position. If there is a turn or flip you can match these triangles to see that in fact they are congruent.

If the sides are the same, then the conclusion is that they are congruent, but this does not always work with angles, that is, two triangles with the same angles might be congruent or might not if they have different sizes because, even though all angles match, one side can be larger than the other.

JulijaS [17]2 years ago

5 0

You need three parts but they can’t all be angles

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Step-by-step explanation:

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2 years ago

In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.

Arturiano [62]

Answer:

A. $\triangle$ DEF where $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If $\triangle$ ABC and $\triangle$ DEF, then $\angle A \equiv \angle D$ and $\angle B \equiv \angle E$ . Hence, $\angle D = 75^{\circ}$ and $\angle E = 20^{\circ}$ .

In a nutshell, correct answer is A.

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