Question

M is the midpoint of segment AB and M (-4,-5) and A (-2,-9) find the endpoint B.

(-6, -1) b) (4,-1) c) (-2,4) d) (4,2)

The midpoint of a line segment divides a line segment into two equal parts. (T/F).

Answer 1

(-6, -1)

Yes, the midpoint of a line segment divides the segment into two equal parts. True.

Explanation:

Going from A(-2, -9) to M(-4, -5), x decreases by two units from -2 to -4; if we now go from M(-4, -5) to B, we expect that x will decrease by two more units, from -4 to -6. Thus, the x-coordinate of B is -6.

y increases by 4 from -9 to -5 (4 units) under the same circumstances. To find the y-coordinate of B, we add 4 to -5, obtaining y = -1.

The endpoint B is thus (-6, -1).