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Chapter 4: Q17. (page 120)

Plot the given points on graph paper. Draw 螖ABCand 螖DEF. Copy and complete the statement role="math" localid="1638345245002" 螖ABC鈮�?炉.

A1,1B8,1

D3,鈭�7E5,鈭�3F3,0

Short Answer

Expert verified

螖ABC鈮�螖FDE炉

Step by step solution

01

Step 1. Plot the diagram.

Plot A1,1, B8,1, C4,3, D3,鈭�7, E5,鈭�3, F3,0 on the graph paper and draw 螖ABCand 螖DEFas:

02

Step 2. Show the calculation.

The two triangles are said to be congruent if they are copies of each other and if their vertices are superposed, then can say that the corresponding angles and the sides of the triangles are congruent.

In the diagram, if the two triangles are superposed, then it is obtained that,

螖ABC鈮�螖FDE

03

Step 3. State the conclusion.

Therefore, 螖ABC鈮�螖FDE.

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Most popular questions from this chapter

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.

Given, 螖KOP鈮�螖MAT

What can you conclude aboutlocalid="1648811595576" 鈭�P?Why?

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABCIf 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 complete the following statement.

鈭�A鈮�鈭�___

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.

In an isosceles triangle, if the angle between the congruent sides is bisected, then two congruent triangles are formed.
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