Goal 2.01: Distance and Midpoint

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Presentation transcript:

Goal 2.01: Distance and Midpoint

For any two points (x1, y1) and (x2, y2) Distance: Keywords:

Midpoint: Key words:

Danielle is 6 miles east and 14 miles south of the library Danielle is 6 miles east and 14 miles south of the library. Ashley is 8 miles north and 12 miles west. Which girl is closer to the library, and by how many miles?

Caroline ran 2 miles east and 3 miles south of the town center Caroline ran 2 miles east and 3 miles south of the town center. Marcus ran 1 mile north and 5 miles west of the town center. If they want to meet halfway, how far would Marcus have to run to get to the meeting spot?

What is the distance between the x-axis and the line y = -4?

A circle has endpoints at (-4, -5) and (7, 3) A circle has endpoints at (-4, -5) and (7, 3). How long is the radius of the circle?

Point X is between points W and Y. If is 5 and is 8 then how long is ?

Find point Q of the segment if P (1, -7) and the midpoint is (-2, -5).

A square has the vertices (1, -2) and (7, -2), (7, 3) and (1, 3). At what point do the diagonals intersect?

A triangle has the vertices (1, -2) and (7, -2), and (5, 3). What is the perimeter?

Solve for y: 2x - 3y = 16 ½ x + y = 11