1. Geometry Lesson 8 – 2 Extended Coordinates in Space Objective: Use ordered triple with distance and midpoint formulas.

2. Ordered triple What do you think ordered triple means? A point in space represented by (x, y, z) Notice that the axes are different than are xy plane.

3. Graph a rectangular solid that has 2 vertices L (4, -5, 2) and the origin. Label the coordinates of each vertex. Step 1 – plot the x-coordinate first. Draw a segment from the origin 4 units in the positive direction. Step 2 – To plot the y-coordinate, draw a segment five units long in the negative direction. Step 3 – Next, to plot the z-coordinate, draw a segment two units long in the positive direction. Step 4 – Label the coordinate L Step 5 – Draw the rectangular prism and label each vertex L (4, -5, 2) K(0, -5, 2) J(0, 0, 2) M (4, 0, 2) Q (4, -5, 0) P(0, -5, 0) N(0, 0, 0) and R (4, 0, 0) Cont… graph

5. Distance formula xy plane xyz plane

6. Consider J(2,4,9) & K(-4, -5,11) Find JK

7. Midpoint Formulas xy plane xyz plane

8. Determine the coordinates of the midpoint M of JK. Consider J(2,4,9) & K(-4, -5,11)

9. Homework Pg. 551 2 – 18 E, 21