Question

The following table shows points on a number line and their co-ordinates. Decide whether the pair of segments given below the table are congruent or not. (i) seg DE and seg AB (ii) seg BC and seg AD (iii) seg BE and seg AD​

Answer 1

Answer:

Point A B C D E

Co-ordinates −3 5 2 −7 3

DA=−3−(−7)=4,DC=2−(−7)=3

DB=5−(−7)=12,DE=9−(−7)=3+7=16

AC=2−(−3)=5,AB=5−(−3)=8

AE=3−(−3)=12,

CB=5−2=3,CE=9−2=7

BE=9−5=4

seg DA=BE=4

seg DB=AE=12

Option C seg BE and seg AD

solution

Answer 2

Point A B C D E

Co-ordinates −3 5 2 −7 3

DA=−3−(−7)=4,DC=2−(−7)=3

DB=5−(−7)=12,DE=9−(−7)=3+7=16

AC=2−(−3)=5,AB=5−(−3)=8

AE=3−(−3)=12,

CB=5−2=3,CE=9−2=7

BE=9−5=4

seg DA=BE=4

seg DB=AE=12

Option (iii) seg BE and seg AD