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Concept Review

Concept Review. 2.3 Segment and Angle Relationships. It is vital in this course that each word we study becomes part of your geometric vocabulary. Two segments are congruent , AB  CD, if they have the same measure. Two angles are congruent , <P  <Q, if they have the same measure. Q. A.

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Concept Review

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  1. Concept Review

  2. 2.3 Segment and Angle Relationships It is vital in this course that each word we study becomes part of your geometric vocabulary.Two segments are congruent, AB  CD, if they have the same measure. Two angles are congruent, <P  <Q, if they have the same measure. Q A B D C P AB = CD m<P = m<Q

  3. The midpoint of a segment is the point that divides the segment into two congruent segments. R S T(S is the midpoint) RS = ST

  4. A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint. An angle bisector is a ray that divides the angle into two congruent angles. G S R T I O H RS = ST m<HOI = m<IOG

  5. Two lines are perpendicular if they intersect to form a right angle. A line is perpendicular to a plane if it is perpendicular to each line in the plane that intersects it. l l m P l P l m

  6. The Distance FormulaLet A = (x1, y1) and B(x2, y2) be points in a coordinate plane. The distance between A and B is AB = (x2 - x1)2 + (y2 - y1)2 .

  7. Example :Let A = (-2,5) and B = (4,1). Find the midpoint, C, of AB. Then use the Distance Formula to verify that AC = CB. AC =  (1 – (-2))2 + (3 – 5)2 =  9 + 4 = 13 CB = (4 – 1)2 + (1 – 3)2 = 9 + 4 = 13

  8. Find the distance between the points whose coordinates are given: (6,4), (-8,11)(-5,8), (-10,14)(-4,-20), (-10,15)(5,-8), (0,0)

  9. Classwork :pg 74, 1 to 6 (SAW) Homework : pg 74, 15 to 22 pg 75, 23 to 28 pg 76, 40, 44 (SAW)

  10. Classwork : pg 77, 1 to 19 (SAW) Homework : RTN pgs 78 to 80

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