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Geometry Concepts and Homework Review Session

Explore basic geometry concepts such as points, lines, rays, planes, congruence, and similarity. Review homework assignments and prepare for quizzes on MySkillsTutor. Identify and compare congruent and similar figures with corresponding angles and sides.

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Geometry Concepts and Homework Review Session

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  1. Do Now 2/22/10 • Take out your HW from last week. • Text p. 285, #1-10 all • Copy HW in your planner. • Text p. 291, #8-20 all • Review “Geometry NJASK7 Prep” assignment on MySkillsTutor – Quiz Friday • Be ready to copy POTW #4.

  2. “Basic Geometry Concepts” Point position in space represented by a dot. L A D Z K

  3. Plane a flat surface that extends on forever in all directions. How many planes on this figure?

  4. Line segment part of a line with 2 endpoints and all the points in between. D E C F

  5. Line a straight path extending without end in 2 directions. R S T

  6. Ray Part of a line that begins at a point and extends in one direction without ending. B K A J AB K JK A

  7. Congruent Two line segments are congruent when they are the same length. C D E F 3

  8. Angle Two rays that begin at the same point. D Sides C Vertex E

  9. Naming Angles • The following angle can be named in three ways: B C A Vertex

  10. Objective • SWBAT identify similar and congruent figures

  11. 1) M, N, P, R, S 2) 3) plane Y and plane Z 4) 5) 6) 7) quadrilateral DEFG 8) 9) 10) HomeworkText p. 286, #1-10 all

  12. Section 6.4 “Similar and Congruent Figures” Properties of similar figures: 1). Corresponding angles are congruent 2). Corresponding sides are proportional (equal ratios)

  13. Corresponding angles – matched angles of two figures When 2 angles have the same measure, they are marked with the same symbol. D A F E C B

  14. Corresponding sides – matched sides of two figures D A F E C B

  15. Given ABC ~ XYZ, name the corresponding angles and corresponding sides. Z A X Y Sides Angles B C

  16. Given ABC ~ DEF, find the ratio of the lengths of the corresponding sides. D 40 A 20 F E 32 35 16 The ratio of the lengths of the corresponding sides is 4/5. B C 28

  17. Given ABC ~ DEF, find the ratio of the lengths of the corresponding sides. D 7.5 A 6 F E 5 4.5 4 The ratio of the lengths of the corresponding sides is 2/3. B C 3

  18. Properties of congruent figures: 1). Corresponding angles are congruent 2). Corresponding sides are congruent

  19. Given , find the indicated measure. Z A X 15 45 20 45 Y 35° 15 B C 90° 35° 55°

  20. Homework Text p. 291, #8-20 all

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