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...
![Page 1: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/1.jpg)
Geometry 1-6Geometry 1-6Midpoint and Distance
![Page 2: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/2.jpg)
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).
![Page 3: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/3.jpg)
MidpointMidpointTo find the midpoint, average the
x and y values from each endpoint.
Midpoint formula:
![Page 4: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/4.jpg)
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).
![Page 5: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/5.jpg)
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)
![Page 6: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/6.jpg)
Use the Pythagorean Use the Pythagorean TheoremTheorem
![Page 7: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/7.jpg)
Use the Pythagorean Use the Pythagorean TheoremTheorem
![Page 8: 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).](https://reader035.fdocuments.us/reader035/viewer/2022062421/56649e405503460f94b3215d/html5/thumbnails/8.jpg)
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.