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.

Point	A	B	C	D	E
Co-ordinate	-3	5	2	-7	9

• A. seg DE and seg AB
• B. seg BC and seg AD
• C. seg BE and seg AD
• D. none of above

Answer 1

The correct option is C seg BE and seg AD

Point $ABCDE$

Co-ordinates $-352-73$

$DA=-3-(-7)=4,DC=2-(-7)=3$

$DB=5-(-7)=12,DE=9-(-7)=3+7=16$

$AC=2-(-3)=5,AB=5-(-3)=8$

$AE=3-(-3)=12,$

$CB=5-2=3,CE=9-2=7$

$BE=9-5=4$

$segDA=BE=4$

$segDB=AE=12$

Option $CsegBE$ and $segAD$