Geometry 1-6Geometry 1-6Midpoint and Distance

VocabularyVocabularyCoordinate 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).

MidpointMidpointTo find the midpoint, average the

x and y values from each endpoint.

Midpoint formula:

ExamplesExamplesFind 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 Distance by the Pythagorean TheoremTheoremPythagorean Theorem

a2 + b2 = c2

a and b are both legs.c is the hypotenuse (across from the right angle)

Use the Pythagorean Use the Pythagorean TheoremTheorem

Use the Pythagorean Use the Pythagorean TheoremTheorem

Finding an EndpointFinding an EndpointM 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.