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1. Opener a-c) True or false? If false, provide the counterexample.

1. Day 7. 1. Opener a-c) True or false? If false, provide the counterexample. a) Three lines must intersect at three points. b) Two acute angles can never be supplementary. c) Every line has a midpoint. d) What is m ? e) What is the midpoint between (2,-12) and (-4, -10)?

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1. Opener a-c) True or false? If false, provide the counterexample.

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  1. 1 Day 7 1. Opener a-c) True or false? If false, provide the counterexample. a) Three lines must intersect at three points. b) Two acute angles can never be supplementary. c) Every line has a midpoint. d) What is m ? e) What is the midpoint between (2,-12) and (-4, -10)? f) Draw the picture. g) How much is Central Park worth? 1 40°

  2. POLYGONS

  3. POLYGON A closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others.

  4. Anatomy of a Polygon

  5. DIAGONAL A line segment connecting two nonconsecutive vertices of a polygon or polyhedron.

  6. CONVEX A polygon with no diagonal outside the polygon.

  7. CONCAVE A polygon with at least one diagonal outside the polygon.

  8. EXAMPLE

  9. A closed figure in a plane, formed by connecting line segments, where each segment intersects exactly two others. 2. Group Definitions Polygons Not Polygons

  10. A polygon is convex if no diagonal is outside the polygon. A polygon is concave if at least one diagonal is outside the polygon. Concave Polygons 2. Group Definitions Convex Polygons

  11. A D B C 2. Group Definitions What We Can’t Write What We Can Write ABCD DBCA ADBC BCDA CDAB DABC

  12. CAMP SITE MACP TISE PMAC TISE ACPM ETIS 2. Group Definitions Congruent Polygons T P E M C I A S

  13. 2. Group Definitions Which polygon is congruent to ABCD? Write the congruency statement? ABCDE QLMNP A F Q B 100 100 E B P L G C K 130 130 130 130 G D C N M J H F S

  14. 2. Group Definitions Equilateral Polygons Equiangular Polygons

  15. 2. Group Definitions Regular Polygons

  16. CW/HW 7.1 Polygons • and 3.4

  17. 1 Day 8 1. Quiz Review a) Name each of these three shapes. b) The endpoint A of AB is at (1,3). The midpoint is at (4,8). Where is B? Graph them. c) Find the three quarterpoints along AB where A = (2,4) and B = (10, -4). d) What is m ? e) What is the midpoint between (3,-10) and (-5, -10)? f) Name the angle <2 in every way you can: g) Define collinear? 1 35° M P 2 B

  18. 2. Classwork

  19. P 3. Notes - Drawing Congruent Polygons Find the missing point given ABC LFP A B C L F

  20. 4. Homework Review for the Quiz; 9.1 Quadrilaterals toolkit Due on Friday 5. Quiz Tomorrow

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