Question

Simplify the midpoint of QS.

Q (2b, 2c)
R (2a+2b, 2c)
Pl(0,0)
S (2a, 0)
Enter the value that
belongs in the green box. (a + [?], []).

Answer 1

(a+b, c)

Explanation:

CORRECT FOR ACELLUS

Answer 2

[(a + b), c]

Explanation:

Midpoint of a segment with extreme ends represented by ordered pairs
`(x_1,y_1)` and
`(x_2,y_2)`,

Midpoint =
`((x_1+x_2)/(2),(y_1+y_2)/(2))`

It is given that extreme ends of the segment QS are Q(2b, 2c) and S(2a, 0)

Coordinates of the midpoint of QS will be,

=
`((2a+2b)/(2),(2c+0)/(2) )`

= [(a + b), c]

Therefore, ordered pair representing the midpoint of QS will be [(a + b), c].