Warm up: How far does a catcher need to throw to second base in softball (bases are 60 feet apart)? When finished, complete the protractor sheet from yesterday.

p answers 1.) <XYZ, <ZYX, <Y 2.) <MCTP, <PCM, <C, <1 3.) <ABC, <CBA 4.) <CBD, <DBC 5.) S is vertext 6.) C is vertex 7.) F is middle (line) 8.) H is vertext 15.) <AOB or <DOC 17.) <EOC 19.) <AOB & <DOC or <BOC and <AOD 25.) no, no markings 27.) no, no markings 29.) yes, they have the same amount of tick marks 31.) yes, two lines/rays/segments intersect and they are opposite each other 43.) m<AOB =30, m<BOC=50, m<COD=30 45.) 7; m<AOB =31, m<BOC =49, m< AOD=111

Question to be Answered: How do you find the distance and midpoint between two points?

What do you know? In coordinate geometry, you describe a point by an ordered pair (x,y), called the coordinates of the point. X-axis Y-Axis

The Cartesian Plane. Quadrant Origin (0,0) x-axis y-axis

What do you know? Plot P(-3,4), Q(0,0), R(2,4), S(1,-4)

Graph the points A(2,2), B(-4,2), and C(2,-3) AB= AC= BC=

Distance Formula To find the distance between two points that are not on a horizontal or vertical line, you can use the distance formula.

Do ex. 3 and 4 A(5,2) B(-4,-1) AB= B(-2,-4) G(-5,3) BG=

Find the midpoint of AB. A(2,2) B(-4,2)

(x 1,y 1 ) (x 2, y 2 ) Midpoint is ½ way between! Average value of x’s and y’s.

Do ex Graph your answer. 5.) (3,5) and (7,-9) 6.) (-2,6) and (-1, 4)

If the midpoint of AB is M(3,4) and endpoint A is (-3,-2), find the coordinates of endpoint B.

Hwk: p odds, 48