geometry with mr. reevesmrdreeves.weebly.com/uploads/2/2/9/8/22981178/1.3... · 1.3 using midpoint...
TRANSCRIPT
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GEOMETRY WITH MR. REEVES 1.3 Using Midpoint and Distance Formulas
![Page 2: GEOMETRY WITH MR. REEVESmrdreeves.weebly.com/uploads/2/2/9/8/22981178/1.3... · 1.3 Using Midpoint and Distance Formulas Created Date: 9/24/2015 1:21:00 PM](https://reader035.vdocuments.site/reader035/viewer/2022081402/5f27c81e6637274ff755fbaa/html5/thumbnails/2.jpg)
1.3 Using Midpoint and Distance Formulas
• Find segment lengths using midpoints and segment bisectors
• Use the Midpoint Formula
• Use the Distance Formula
VOCABULARY
WHAT YOU WILL LEARN
• midpoint • segment bisector
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Vocabulary: Midpoint
• The midpoint of a segment is the point that divides the segment into two congruent segments.
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Vocabulary: Segment Bisector
• A segment bisector is a point, ray, line, line segment, or plane that intersects the segment at its midpoint. A midpoint or segment bisector bisects a segment.
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Example 1
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Your turn…
• Complete Monitoring Progress #1-2 in your notebooks:
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Example 2
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Your turn…
• Complete Monitoring Progress #3-4 in your notebooks:
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Construction
• Construct a segment bisector by paper folding. Then, find the midpoint.
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Exploration: Midpoint Formula
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Midpoint Formula
• The coordinates of the midpoint of a segment are the averages of the x-coordinates and of the y-coordinates of the endpoints.
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Example 3
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Your turn…
• Complete Monitoring Progress #5-8 in your notebooks:
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Exploration: Distance Formula
The Distance Formula is related to the Pythagorean Theorem, which you will see again when you work with right triangles.
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Distance Formula
• You can use the Distance Formula to find the distance between two points in a coordinate plane.
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Example 4
• Your school is 4 miles east and 1 mile south of your apartment. A recycling center, where your class is going on a field trip, is 2 miles east and 3 miles north of your apartment. Estimate the distance between the recycling center and your school.
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Your turn…
• Complete Monitoring Progress #9 in your notebooks:
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Monitoring Progress Answers
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1.3 Using Midpoint and Distance Formulas
• Find segment lengths using midpoints and segment bisectors
• Use the Midpoint Formula
• Use the Distance Formula
VOCABULARY
WHAT YOU LEARNED
• midpoint • segment bisector