(x 1, y 1 ) (x 2, y 2 (x 1, y 1 ) (x 2, y 2 ) |x 1 – x 2 | |y 1 – y 2 | d.

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Presentation transcript:

(x 1, y 1 ) (x 2, y 2

(x 1, y 1 ) (x 2, y 2 ) |x 1 – x 2 | |y 1 – y 2 | d

APPLY THE PYTHAGOREAN THEOREM TO THE RIGHT TRIANGLE: d 2 = |x 1 – x 2 | 2 + |y 1 – y 2 | 2

FIND THE DISTANCE BETWEEN THE PAIRS OF POINTS: (a.) (2, 5) and (- 2, 3)______ (b.) (3, 4) and (- 1, - 2)______ (c.) (1, - 2) and (4, - 3)______ (d.) (- 1, 3) and (5, - 2)______ (e.) (6, - 5) and (9, 2)______ (f.) (- 4, 7) and (5, - 3)______ # 1.

Find the length of the line segment whose endpoints are (- 3, 4) and (5, 4). ____________ # 2.

Find the distance between the two points: (- 5, 8) and (0, - 4). ____________ # 3.

Find the distance between the two points: (- 4, - 5) and (1, - 2). ____________ # 4.

The point (5, 4) lies on a circle. What is the length of the radius of the circle if the center is located at (3, 2)? _______________ # 5.

A(x 1, y 1 ) B(x 2, y 2 ) M If M is the midpoint of the segment joining point A to point B, then the distance from point A to point M is equal to the distance from point B to point M.

A(x 1, y 1 ) B(x 2, y 2 ) M The coordinates of point M are the AVERAGES of the coordinates of points A and B.

Find the midpoint of the line segment connecting (0.25, 4) and (- 0.9, - 2) __________________ # 6.

Two birds are flying toward a birdhouse that is halfway between them. The birds are at coordinates A(- 4, 4) and B(10, -2). What are the coordinates of the birdhouse? (____, ____) # 7.

M is the midpoint of segment PQ. Find the coordinates of Q if P has coordinates (1,1) and M has coordinates (3, 5). Q (____, ____) # 8.

The coordinates of one endpoint of the line segment XY and the midpoint M are given. Find the coordinates of the other endpoint. M(0.55, 2.95) X(2.1, 3.9) Y(____, ____) # 9.

Determine the distance between the two points and then determine the coordinates of the midpoint of the line segment joining the two points. (0, 0) and (6, 8) d = ________________ M (____, ____) # 10.

Determine the distance between the two points and then determine the coordinates of the midpoint of the line segment joining the two points. (- 4.5, 2.4) and (8, - 4.6) d = ________________ M (____, ____) # 11.

Determine the distance between the two points and then determine the coordinates of the midpoint of the line segment joining the two points. (- 9, 4) and (- 13 / 2, 6) d = ________________ M (____, ____) # 12.