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Daily Review

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

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Daily Review

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  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 0 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

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