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Chapter 4: Q11. (page 161)

Complete.

If 鈭�3鈮�鈭�4, then which segments must be congruent?

Short Answer

Expert verified

If 鈭�3鈮�鈭�4, then the segments which must be congruent are RE炉and VE炉.

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Write the theorem 4-2.

The theorem 4-2 states that if two angles of a triangle are congruent, then the sides opposite to those angles are congruent.

03

- Write the conclusion.

As, 鈭�3鈮�鈭�4, therefore by using the theorem 4-2 it can be said that RE炉鈮�VE炉.

Therefore, if 鈭�3鈮�鈭�4, then the segments which must be congruent are RE炉 and VE炉.

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Most popular questions from this chapter

Plot the given points on graph paper. Draw 螖ABCand 螖DEF. Copy and complete the statement 螖ABC鈮�?炉.

A鈭�1,2B4,2C2,4

D5,鈭�1E7,1F10,鈭�1

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.

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.

If a line perpendicular to AB炉passes through the midpoint of AB炉, and segments are drawn from any other point on that line to and , then two congruent triangles are formed.

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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