Question

Really need help on these please!

On a number line, the coordinates of A, B, C, and D are -5, -2, 0, and 3 respectively. Find the length of each segment. Are they congruent?

1) Segment A B. and Segment C D.

2) Segment A C. and Segment B D.

3) Segment B D. and Segment A D.

SOLVE FOR EACH NUMBER 1, 2, & 3 THEY AREN'T ANSWERS THEY NEED SOLVED FOR. (So no one misunderstands again...)

Answer 1

Segment AB is 3 units long

Segment AC is 5 units long

Segment AD is 8 units long

Segment BD is 5 units long

Segment CD is 3 units long

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To find the length of the segment, you are finding the distance between the two endpoints. On a number line, distance is simply found through subtraction and making the result positive. Point A is at -5 while point B is at -2. Subtract these values to get -5 - (-2) = -5+2 = -3 and make the result positive to get 3. So the distance from A to B is 3 units, which is the same as saying "segment AB is 3 units long"

Segment AC is 5 units long because A-C = 5-0 = 5

Segment AD is 8 units long since A-D = -5-3 = -8 which turns positive into 8

Segment BD is 5 units long because B-D = -2-3 = -5 which becomes 5

Segment CD is 3 units long because C - D = 0-3 = -3 which turns into 3

Note: An alternative to subtraction is to count out the spaces between each number on the number line.