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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