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Chapter 4: Q4. (page 132)

Decide whether the two triangles must be congruent. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Short Answer

Expert verified

No congruence can be deduced

Step by step solution

01

Step 1. First observation from figure.

Line segments AC炉and BD炉are congruent

So,AC炉鈮�BD炉

02

Step 2. Second observation from figure.

Line segments CF炉and DF炉are congruent

So,CF炉鈮�DF炉

03

Step 3. Third observation from figure.

鈭�AFCand鈭�DFB are vertically opposite angles and thus congruent

So,鈭�AFC鈮�鈭�DFB

04

Step 4. Conclude given two triangles are congruent or not.

From step 1, 2, and 3

Two sides and one angle is congruent

But it does not satisfies any postulate

Thus, congruency cannot be deduced

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Most popular questions from this chapter

Plot the given points on graph paper. Draw 螖FAT. Locate point Cso that role="math" localid="1638337170606" 螖FAT鈮�螖CAT.

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