DISTANCE IN THE COORDINATE PLANE 9.3.4.4 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints.

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Presentation transcript:

DISTANCE IN THE COORDINATE PLANE Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

Guiding Question: How can I measure the distance between 2 points in coordinate plane? Lesson Obj: IWBAT to find the distance between 2 points in the coordinate plane.

Guiding Question: How can I measure distance in the coordinate plane? For any 2 pts. in the coordinate plane… 1. Subtract x-values and y-values 2. Square each difference 3. Add them 4. Take the square root of the sum.

Guiding Question: How can I measure distance in the coordinate plane? Find the distance between the following Ex. 1. (3, 4) & (-1, 1) 2. (-3, -2) & (3, 4) 3. (3, -2) & (3, 4) Find the distance of the following 1. (3, 3) & (1, 1) 2. (-4, 2) & (5, 5) 3. (-2, 2) & (2, -2)

Guiding Question: How can I measure distance in the coordinate plane? 1. (4, 4) & (-3, -2) 2. (-5, 5) & (1, 2) 3. (3, -1) & (3, 6) 4. (2, 5) & (-4, 5) Find the slope, midpoint, and distance of the following points

Guiding Question: How can I measure distance in the coordinate plane? Assignment: Slope, Midpoint, and Distance WS