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Chapter 4: Q5 (page 124)

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

Short Answer

Expert verified

The triangles are congruent by the SSS postulate.

Step by step solution

01

Step 1. Apply the concept of the SSS postulate.

SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent or if two sides and the included angle of a triangle are congruent to two sides and the included angle 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, two sides of one triangle are congruent to two sides of another triangle also one side is common to both triangles.

Therefore, the triangles are congruent by SSS postulates.

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Most popular questions from this chapter

Plot the given points on graph paper. Draw 螖ABCand DE炉. Find two locations of point Fsuch that 螖ABC鈮�螖DEF.

A鈭�1,0B鈭�5,4C鈭�6,1D1,0E5,4.

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

AO炉鈮�___

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

螖IGB鈮�__

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 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.
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