WARM UP 1 1 Points Lines and Planes

WARM UP •

1. 1: Points, Lines and Planes Agenda: • Warm Up • 1. 1 Notes • Story Time! • Always Sometimes Never

• Collinear Points: Points that lie on the same line. • Coplanar Points: points that lie on the same plane.

Example 1 A: Use the figure to name a line containing point K

Example 1 B: Use the figure to name a plane containing point L

The letters of each of these names can be reordered to create other acceptable names for this plane. For example, JKM can also be written as JMK, MKJ, KJM, KMJ, and MJK. There are 15 different three-letter names for this plane.

Brain Break! • Story time! Find a spot on the floor in the front of the classroom! • Alg&Geo 60, & 62

Example 2: Name the geometric shape modeled by a 10 x 12 patio.

Example 3: Name the geometric shape modeled by a button on a table

Example 4: Create a real-life example for a plane.

Example 5: Create a real-life example for a line.

• Two or more geometric figures intersect if they have one or more points in common • The intersection of the figures is the set of points the figures have in common.

Example 6 •

Example 7 • Draw and label a figure for the following situation: Plane R contains lines AB and DE, which intersect at point P. Add point C on plane R so that it is not collinear with line AB or line DE. Draw a surface to represent plane R and label it.

Example 8 • Draw and label a figure for the following situation. Line QR on a coordinate plane contains Q(-2, 4) and R(4, -4). Add point T so that T is collinear with these points

Vocabulary Defined Terms Space Definition Examples

Example 9 • A: How many planes appear in this figure?

Example 9 • B: Name three points that are collinear.

Example 9 • C. Are points A, B, C, and D coplanar? Explain.

Example 9 • D: At what point do lines DB and CA intersect?