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Chapter 4: Q14. (page 119)

The pentagons shown are congruent. Complete.

?炉=m鈭�E

Short Answer

Expert verified

m鈭�C=m鈭�E

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Description of step.

The given pentagons are congruent.

Therefore, corresponding angles and corresponding sides of pentagons will be equal.

03

Step 3. Write the conclusion.

From the given diagram it can be noticed that the corresponding angles for the angles B,L,A,Cand Kare the angles R,O,H,Eand Srespectively. Therefore, the corresponding angle for the angle Eis the anglerole="math" localid="1638190740694" C.

Therefore, the measures of the angle Eis equal to measure of angle C.

Therefore, m鈭�C=m鈭�E.

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Most popular questions from this chapter

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

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.

The pentagons shown are congruent. Complete.

BLACK鈮�?炉

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

Plot the given points on graph paper. Draw 螖FAT. Locate point C so that 螖FAT鈮�螖CAT .
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