Random Fact Wednesday The person who invented the

Random Fact Wednesday The person who invented the Frisbee was cremated and made into frisbees after he died! • • Quiz Friday! • HW ? ? ’s Midpoint Activity • 1. 3 Notes • HW

Section 1. 3: Distance and Midpoints

Vocabulary Definition Distance The space between two points. This can be on a number line or a coordinate plane. Distance Formula (on Number Line) Picture

Example 1 Use the number line to find QR.

Do you remember Pythagoras?

Vocabulary Distance Formula (in Coordinate Plane) Definition Picture

Example 2 Find the distance between E (– 4, 1) and F (3, – 1).

Vocabulary Midpoint Formula (on Number Line) Definition The point half-way in between the endpoints of a segment. Picture

Example 3 Marco places a couch so that its end is perpendicular and 2. 5 feet away from the wall. The couch is 90” wide. How far is the midpoint of the couch back from the wall in feet?

Brain Break!

Vocabulary Midpoint Formula (in Coordinate Plane) Definition Picture

Example 4 Find the coordinates of M, the midpoint of GH for G(8, – 6), and H(– 14, 12).

Example 5 Find the coordinates of D if E(– 6, 4) is the midpoint of DF and F has coordinates (– 5, – 3).

Example 6 •

Vocabulary Segment bisector Definition Any segment, line, or plane that intersects a segment at its midpoint Picture