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Chapter 4: Q11. (page 116)

Suppose you know that DB炉鈯�DC炉.Explain how you can deduce that DB炉鈯�BA炉.

Short Answer

Expert verified

With the help of the congruency of螖AOB鈮�螖COD,DB炉鈯�BA炉can be explained.

Step by step solution

01

Step 1. Define concept of congruent triangles

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.

02

Step 2. Observe the figure

The two triangles shown in the figure are congruent.

Therefore, if their vertices are superposed, then 螖AOB鈮�螖COD is obtained.

03

Step 3. Deduce DB perpendicular BA

Since 螖AOB鈮�螖COD,therefore, 鈭�D鈮�鈭�Bbecause corresponding parts of congruent triangles are congruent.

Now it is given that DB炉鈯�DC炉, then m鈭�D=90掳, and so DB炉鈯�BA炉, which implies.

Therefore, with the help of the congruency of 螖AOB鈮�螖COD, DB炉鈯�BA炉can be explained.

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Most popular questions from this chapter

In the following figure, the two-triangle shown are congruent. Then explain the following statement.

Deduce that Ois the midpoint of any segment.

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.

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A鈭�1,0B鈭�5,4C鈭�6,1D1,0E5,4.

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