Question

In the figure shown, A is the midpoint is SM

Answer 1

The first two (top two) choices should be selected. The midpoint of a line segment divides the line segment into two congruent parts, so the first is true by the definition of midpoint. The whole is the sum of its parts; Adding the two smaller segments will always equal the whole.

Answer 2

The correct options are 1 and 2.

Explanation:

Given information: A is the midpoint of SM.

It means point A divides the line segment SM in 2 equal parts.

`\overline {SA}=\overline{AM}`

From the given figure it is clear that the point S,A and M are collinear because they lie on a straight line. Using addition of segments we get

`\overline {SA}+\overline{AM}=\overline{SM}`

Since
`\overline {SA}=\overline{AM}` and
`\overline {SA}+\overline{AM}=\overline{SM}` are true. Therefore the correct options are 1 and 2.