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kaheart [24]
3 years ago
10

PLEASE HELP ASAP!!!

Mathematics
2 answers:
Mariana [72]3 years ago
4 0

Answer:

<h3>C. (a, b)</h3>

Step-by-step explanation:

The formula of a midpoint:

M\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)

We have A(0, 0) and C(2a, 2b). Substitute:

x=\dfrac{0+2a}{2}=\dfrac{2a}{2}=a\\\\y=\dfrac{2b+0}{2}=\dfrac{2b}{2}=b

M(a, b)

pogonyaev3 years ago
3 0

Answer:

Choice C is correct.

Step-by-step explanation:

The  formula to find mid-point of a line segment is:

M= (x_{1}+x_{2}/2,y_{1} +y_{2}/2)

where  (x_{1} ,y_{1}) and (x_{2} ,y_{2}) are end-points  of a line segment.

we have to find mid-point of AC.

A is located at the center of xy-graph.

hence, A(x_{1} ,y_{1}) is given as (0,0) and C(x_{2} ,y_{2}) is given as (2a,2b).

put above values in the formula of mid-point formula:

M=(0+2a/2,0+2b)

M=(2a/2,2b/2)

M=(a,b) is mid-point of AC.




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