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Chapter 4: Q1. (page 142)

For the following figure, state which congruence method can be used to prove the triangle congruent. If no method applies, say none.

Short Answer

Expert verified

The triangles are congruent by the ASApostulate.

Step by step solution

01

Step 1- Apply the concept of the ASA postulate.

ASApostulates state that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

02

Step 2- Check the figure.

Consider the figure.

03

Step 3- Step description.

From the figure, in both the triangles one pair of equal sides and one pair of right angles, also one pair of vertically opposite angles which is equal.

So, they must be equal.

Therefore, the triangles are congruent by ASApostulates.

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Most popular questions from this chapter

Suppose you are given a scalene triangle and a point Pon some line localid="1648799479069" l. How many triangles are there with one vertex at localid="1648799462577" P, another vertex on localid="1648799472074" l, and each triangle congruent to the given triangle?

Suppose you are given a scalene triangle and a point Pon some line l. How many triangles are there with one vertex at P, another vertex onl, and each triangle congruent to the given triangle.

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