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Chapter 4: Q14. (page 120)

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

Short Answer

Expert verified

螖ABC鈮�螖FDE炉.

Step by step solution

01

Step 1. Plot the diagram.

Plot A鈭�1,2, B4,2, C2,4, D5,鈭�1, E7,1, F10,鈭�1 on the graph paper and draw 螖ABC and 螖DEF as:

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

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

Suppose you are given a scalene triangle and a point Pon some line l. How many triangles are there with one vertex at P, another vertex onl, and each triangle congruent to the given triangle.

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.

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.

The pentagons shown are congruent. Complete.

?炉=m鈭�E
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