1. Daily Review 1.) Find the measurement of PQ
2.) Determine whether the segments are congruent
AB, GH FE, ML CD, JK AB, JK P M Q
1 ¾ in.
1 ½ in. A F G M B E H L C D J K

2. Distance and Midpoints
Eric Hoffman
Advanced Geometry
PLHS
Aug. 2007

3. Distance and Midpoints
Two methods of calculating distance
Distance Formula
Pythagorean Theorem
Pythagorean Theorem -

4. Key Topics Distance Formula – d =
The distance d between two points with coordinates (x1,y1) and (x2,y2) x -8 -4 4 8 12
Distance Formula.gsp

5. Key Topics
Midpoint – the point halfway between the endpoints of a segment
The midpoint M of PQ is the point between P and Q such that PM = PQ P M Q

6. Key Topics
Midpoint on a number line – the coordinate of the midpoint of a segment whose endpoints have coordinates A and B is A B

7. Key Topics
Midpoint on a coordinate plane – the coordinates of the midpoint of a segment whose endpoints have coordinates (x1,y1) and (x2,y2) are ( )
Q (x2,y2)
M ( )
P (x1,y1)

8. Key Topics
Segment Bisector – any line, segment, or plane that intersects a segment at its midpoint
Construction of a bisector