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Chapter 4: Q8. (page 120)

Is the following statement 鈥淐orresponding parts of congruent triangles are congruent鈥� based on a definition, postulate, or theorem?

Short Answer

Expert verified

The statement 鈥淐orresponding parts of congruent triangles are congruent鈥� is based on the definition.

Step by step solution

01

Step 1. Apply the concept of congruent triangles.

Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.

02

Step 2. Step description.

Since the statement is 鈥淐orresponding parts of congruent triangles are congruent鈥� defining the statement is thus the statement based on the definition of a congruent triangle.

03

Step 3. Step description.

Therefore, the statement is based on the definition of congruent triangles.

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Most popular questions from this chapter

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.

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

In the following figure, the two-triangle shown are congruent. Then explain the following statement.

Deduce that Ois the midpoint of any segment.

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

Given: FC炉 and SH炉 bisect each other at A;localid="1638250328146" FC=SH.

Prove: SA=AC.
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