name: - file · web viewccss unit: coordinate geometry, quadrilaterals, and polygons....
TRANSCRIPT
Name:
Geometry C
2
Name:______________________Date: ___________
CCSS Unit: Coordinate Geometry, Quadrilaterals, and Polygons
Section 1.6: Midpoint and Distance in the Coordinate Plane
ARE YOU READY?
1. Graph A (2, 3) and B (1, 0).2. Find the length of CD.
3. Find the coordinate of the midpoint of CD from #2.
4. Simplify.
Objectives of Lesson:
Develop and apply the Midpoint Formula.
Use the Distance Formula to find the distance between two points.
Example 1: Find the coordinates of the midpoint of PQ given both endpoints P (8, 3) and Q (2, 7).
Example 2: Find the coordinates of the midpoint of EF given both endpoints E (2, 3) and F (5, 3).
Example 3: Find the coordinates of an endpoint Y, given the midpoint
M (6, 1) and one endpoint X (2, 7).
.
Example 4: Find the coordinates of an endpoint T, given the midpoint
S (1, 1) and one endpoint R (6, 1).
Example 5: Use the distance formula to find FG and JK. If not a perfect square, leave your answer in simplified radical form. Then determine whether FG = JK.
Example 6: Use the distance formula to find EF and GH. If not a perfect square, leave your answer in radical form. Then determine if EF = GH.
Example 7: Use the distance formula to find the distance between D (3, 4) and E (2, 5). If not a perfect square, leave you answer in simplified radical form.
Example 8: Use the distance formula to find the distance between R (3, 2) and S (3, 1). If not a perfect square, leave your answer in simplified radical form.
Example 9: Use the distance formula to find the distance between R (4, 5) and S (2, 1). If not a perfect square, leave your answer in simplified radical form.
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