Geometry Midpoints and Distance. Algebra Equation Review 5x + 3 = 21 8x – 2 = 6x + 22 Eliminate Parentheses Collect variables on one side of the equation.

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Presentation transcript:

Geometry Midpoints and Distance

Algebra Equation Review 5x + 3 = 21 8x – 2 = 6x + 22 Eliminate Parentheses Collect variables on one side of the equation and numbers without variables on the other side of the equation Add like terms Divide/Multiply by the coefficient

Find the measures. K L M N LN KM KL -202

Find midpoint on a number line RS What do you know about the distance from each endpoint to the midpoint?

Formula for Finding midpoint Point A + Point B 2 Example 1Example 2 A = -10 B = 4R = -3B = 12

Find midpoint on Coordinate Plane Since we are talking coordinates, the answer will be two points. The x-coordinate and the y-coordinate.

Formula: ( x + x, y + y) 2 2 Example 3Example 4 A(-1, 5), B(2,1)R(10,-2), T(-5, 1)

Use Algebra to find Endpoint When you know the midpoint and one endpoint, use algebra skills to find the missing endpoint. Example 5Example 6 A = -5, M = 6A(7, -2), M( 3, -5)

Example 7 Suppose K(3,-4) is the midpoint of JL. The coordinates of J are (-3, -2). Find the coordinates of L.

Pythagorean Theorem a 2 + b 2 = c 2 a = 5 b = 12 b = 10 c = 14 b c a

Entertainment Center is 35 in by 40 in. What size TV will fit in the space?

Distance Formula Based on Pythagorean Theorem.

Examples W(-2,2) R(5,3) A(-7,-3) B(5,2)