mABD = (3x +12) , mBDE = (7x - 32) Warm Up Q: mABD and mBDE are supplementary. Find the measures of both angles. mABD = (3x +12) , mBDE = (7x - 32) A: mABD = mBDE =

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Assignments There are 7 Warm-ups Week 1 Periods 2 & 3  are one day behind due to seminars   Week 1 8/18/08 - Went over Respect, Attitude, & Discipline 8/19/08 - Covered Expectations & Consequences 8/20/08 - Lesson 1-1   p. 9   #13-28, 30-40, 54,56,57 8/21/08 - Lesson 1-2   p. 16  #7-15, 22-32 ev, 34-37,56-57       8/22/08 - Pre-Assessment testing Week 2 8/25/08 - Lesson 1-4   p. 33   #4-36 even, 42,50         8/26/08 - Lesson 1-5   p. 41   # 8-22,  24-34 even,  41, 43 8/27/08 – Lesson 1-3 8/28/08 - Review There are 7 Warm-ups

Students should be able to find the distance between two points and find the midpoint of a segment.

Finding Distance on a Number Line Count the tick marks Minus the larger number from the smaller number Distance between A and B = I B – A I or I A – B I A B -3 -2 -1 0 1 2 3

Finding Distance on a Number Line Ok now try this one. AB = I 3 – -3 I or I -3 – 3 I AB = I 6 I or I -6 I A B -3 -2 -1 0 1 2 3

Finding Distance on a Number Line Ok now try this one. AB = I 2 – -10 I or I -10 – 2 I AB = I 12 I or I -12 I A B -10 -8 -6 -4 -2 2

Finding Distance between two points on a coordinate plane Find the Distance between ( 5, 1 ) and ( -3, -3 ) Graph your points. Form a right triangle. Determine the lengths of the two sides. Plug into the Pythagorean theorem. (a2 + b2 = c2)

Finding Distance between two points on a coordinate plane Now lets take the Pythagorean theorem and turn it into the distance formula

Finding Distance between two points on a coordinate plane Find the Distance between ( 5, 1 ) and ( -3, -3 ) Graph your points. Plug points into the distance formula.

Finding the midpoint of a line Graph the points A (5, 5) and B (-1, 5). Draw AB. Hold the paper up to the light and fold the paper so that points A and B match exactly. Crease the paper slightly. Open the paper and put a point where the crease intersects AB. Label this midpoint as C.

Finding the midpoint of a line What are the coordinates of point C? What are the lengths of AC and CB? What kind of rule can we make from this?

Finding the midpoint of a line So how can we find the midpoint of this line? Add the two points together and divide by two. A M B -10 -8 -6 -4 -2 2

Finding the midpoint between two points on a coordinate plane Find the Distance between ( 5, 1 ) and ( -3, -3 ) How would we find half?

Finding the endpoint of a line when given a midpoint and a point on a coordinate plane Find the coordinates of X if Y ( -2, 2 ) is the midpoint of XZ and Z has coordinates ( 2, 8 ).

any segment, line, or plane that intersects a segment at its midpoint Segment bisector:

Homework: Lesson 1-3, p. 25 # 4-40 even, 44, 55, 57, 58