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Chapter 3: Q40. (page 113)

Find the coordinates of the midpoint of AB炉. (You may want to draw a diagram.)

A(4,鈥�1), B(鈥�2,鈥�1).

Short Answer

Expert verified

The coordinates of the midpoint of AB炉颈蝉(1,鈥�1).

Step by step solution

01

Step 1. Write the formula to find the coordinates of the midpoint of the line joining the points A(x1, y1) and B(x2, y2).

The formula to find the coordinates of the midpoint of the line joining the pointsA(x1,y1)andB(x2,y2)is x1+x22,y1+y22.

02

Step 2. Find the coordinates of the midpoint of the line joining the points A(4, –1) and B(–2, –1).

The coordinates of the midpoint of the line joining the points A(4,鈥�1)and B(鈥�2,鈥�1)is given by:

4+鈭�22,鈭�1+鈭�12=4鈭�22,鈭�1鈭�12=22,鈭�22=1,鈭�1

03

Step 3. Write the conclusion.

The coordinates of the midpoint of the line joining the points A(4,鈥�1)and B(鈥�2,鈥�1) is (1,鈥�1).

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