day 3 - properties of midpoint and distance of a line.notebook
TRANSCRIPT
Day 3 Properties of Midpoint and Distance of a Line.notebook
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Applications of Midpoint and Distance of a Line Segemnt
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Warm Up:Determine the length of the median from vertex C of triangle A(3,5), B(1,3), C(4,8).
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Finding the Missing Coordinate of a Line
When we are given one end point and the midpoint, we can continue the "pattern" to find the other endpoint.
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Example Given a line with a endpoint of (4,5) and a midpoint at (1,2), determine the other endpoint.
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Determine the missing endpoint of a line segment with endpoint (7,3) and midpoint of (2,1)
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Finding a Missing Point of a Shape
To find the missing point of a given quadrilateral we need to draw a sketch of the shape. **Remember that when labelling a quadrilateral we need to go around the outside, we can't cross around the middle. ***Plot an estimation of where the missing point would be.
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ExampleDetermine the missing point of the parallelogram with vertices A(1,2), B(4,5) and C(4,9)
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Find the missing coordinate of the parallelogram with vertices A(6,2), B(2,3) and C(0,3)
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Classifying Shapes
When we are classifying shapes we need to consider two things:
1. Slope2. Side Length
We look at slope to determine if we have an perpendicular or 90o angles.We look at side length to determine if we have equilateral sides.
Check page 178.
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Example Verify that the quadrilateral with vertices P(3,3), Q(0,1), R(3,1), and S(6,1) is a rhombus.
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Homework
Page 163 #s 6 8Page 173 #s 6 & 12Page 182 #s 10 & 18