Geometry 1-6 Midpoint and Distance. Vocabulary Coordinate Plane- a plane divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis).

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Presentation transcript:

Geometry 1-6 Midpoint and Distance

Vocabulary Coordinate Plane- a plane divided into four regions by a horizontal line (x-axis) and a vertical line (y-axis). Ordered Pair- Coordinates of a point (x,y).

Midpoint To find the midpoint, average the x and y values from each endpoint. Midpoint formula:

Examples Find the coordinates of the midpoint with endpoints C(-2,-1) and D(4,2). Find the coordinates of the midpoint with endpoints P(-8,3) and Q(-2,7).

Distance by the Pythagorean Theorem Pythagorean Theorem a 2 + b 2 = c 2 a and b are both legs. c is the hypotenuse (across from the right angle)

Use the Pythagorean Theorem

Finding an Endpoint M is the midpoint of. A has coordinates (2,2) and M has coordinates (4,-3). Find the coordinates of endpoint B. M is the midpoint of. X has coordinates (2,7) and M has coordinates (6,1). Find the coordinates of endpoint Y.