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Find the point that splits segment CD in half if point C is located at (−2, 4) and point D is located at (3, 7)

(2.5, 1.5)
(1, 5)
(0.5, 5.5)
(3, 2)

Sagot :

Answer:

0.5, 5.5

Step-by-step explanation:

ive done this worksheet before

Answer: Choice C

(0.5, 5.5)

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Explanation:

Draw out a number line with -2 and 3 on it. These are the x coordinates of the given points. Add up these values and divide by 2 to get the midpoint on the number line.

(A+B)/2 = (-2+3)/2 = 1/2 = 0.5

The value 0.5 is the midpoint of -2 and 3. This midpoint is equally spaced from both endpoints.

Therefore, the x coordinate of the midpoint is 0.5

Repeat this idea for the y coordinates

Add: 4 + 7 = 11

Divide the result in half:  11/2 = 5.5

The y coordinate of the midpoint is 5.5

The overall midpoint itself is located at (x,y) = (0.5, 5.5)

This is why choice C is the final answer.

Visual confirmation is shown below. GeoGebra has a nice handy feature to find the midpoint very quickly with just a few clicks.

View image jimthompson5910
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