# geometry

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on a number line, the midpoint is -2. Name to possible endpoints for the segment. How would this be found.

• geometry -

A(x1,y1),B(x2,y2),C(x3,y3).
A(x1,0), B(-2,0), C(x3,0).
AB = BC
-2-x1 = x3+2.
-x1-x3 = 4
Eq1: x1+x3 = -4.

In Eq1,Letx1 = -6:
-6 + x3 = -4
x3 = 2.
A(-6,0), B(-2,0), C(2,0).

In Eq1, Let x1 = -4.
-4 + x3 = -4
x3 = 0.
A(-4,0), B(-2,0), C(0,0).

NOTE: Values chosen for X1 should be less than -2 so the numbers on the line increases to the right.

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