Lesson 1-2 Point, Line, Plane 1 Lesson 1-2 Point, Line, Plane.
Geometry 1-6 Midpoint and Distance. Vocabulary Coordinate Plane- a plane divided into four regions...
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Transcript of Geometry 1-6 Midpoint and Distance. Vocabulary Coordinate Plane- a plane divided into four regions...
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.