Question

Select all the equations that satisfy this fact.

In the figure shown, A is the midpoint of sy.
O SA - AM
OSA + AM - SM
OSM + AM - SA
O AM + SM - SA

Answer 1

`SM=SA+AM`

`SA=AM`

Explanation:

see the attached figure to better understand the problem

we know that

The points S,A and M are collinear because they lie on a straight line. Using addition of segments we get

`SM=SA+AM`

The midpoint of a line segment divides the line segment into two congruent parts

If A is the midpoint of SM

then

`SA=AM`

therefore

The equations that satisfy the fact are

`SM=SA+AM`

`SA=AM`