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Chapter 8: Q10. (page 414)

Find the midpoint of line segment with endpoints at given coordinates ( 8,3) and ( 16,7 ).

Short Answer

Expert verified

The coordinates of midpoint of the line segment are12,5.

Step by step solution

01

Step 1. Write down the given information.

The given line segment with end-points has coordinates 8,3and16,7.

02

Step 2. Concept used.

If a line segment has end-points at x1,y1andx2,y2 then the midpoint of the segment has coordinatesx1+x22,y1+y22.

03

Step 3. Calculation.

The coordinates of the midpoint are evaluated using the points 8,3and16,7.

Midpoint=x1+x22,y1+y22=8+162,3+72=242,102=12,5
04

Step 4. Conclusion.

The coordinates of midpoint of the line segment are 12,5.

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