Brett Solberg – Alta High ‘11-’12

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Presentation transcript:

Brett Solberg – Alta High ‘11-’12 1.5 Geometry Brett Solberg – Alta High ‘11-’12

Warm-up Identify the following from the picture #1 2 Rays #2 1 Line Segment #3 1 Line #4 2 Parallel Lines Get out your homework and your notes.

Today’s Agenda Find the length of segments Review of Cartesian Plane

1-D Distance Formula for finding distance on the number line: |a – b| a, b numbers a is the smaller number Distance AB = |-7 - -4| = |-7 + 4| = |-3| = 3

Congruent To have the same distance.

Congruent Segments Segments with the same distance. AB CD

Equal Precisely the same in every way =

Midpoint A point that divides a segment into two congruent pieces.

Examples

Segment Addition Postulate If A, B, and C are collinear and B is between A and C, then AB + BC = AC

Examples

Cartesian Plane Rene Descartes 1596 – 1650 French Philosopher and Mathematician Sickness Cartesian Plane

Cartesian Plane

Plot the following points. (0, 0) (-1, 2) (2, 4) (3, -3) (-1, -1) (-3, 1)

Battleship