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Chapter 4: Q3 (page 119)

Suppose that ΔFIN≅ΔWEB,then is the following statement is the correct way to say?

Short Answer

Expert verified

Yes, it is the correct way to sayΔNIF≅ΔBEW.

Step by step solution

01

Step 1. Apply the concept of congruent triangles.

When two triangles are congruent then their corresponding parts are equal such that their sides and angles are congruent.

02

Step 2. Step description

HereΔFIN≅ΔWEB.

Since the corresponding angle is congruent such that∠F≅∠W,∠I≅∠E,∠N≅∠B.

03

Step 3. Step description.

And inΔNIF≅ΔBEW,the corresponding angles are also congruent such that∠N≅∠B,∠I≅∠E,∠F≅∠W.

In both cases, the same angle is congruent to the same corresponding angle.

Therefore yes, it is the correct way to sayrole="math" localid="1638168333463" ΔNIF≅ΔBEW.

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Most popular questions from this chapter

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

For the following figure, does the SAS postulates justify that the two triangles are congruent.

Given:ΔABC in plane M; D not in plane M;

∠ACB≅∠ABC;∠DCB≅∠DBC

Name a pair of congruent triangles. Prove that your answer is correct.

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?
See all solutions

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