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ANSWER it if you are genius…

ANSWER it if you are genius… A man and his wife have three sons, and every one of the sons has a sister… How many are there in the family? A. 6 B. 8 C. 10 D. 12. Warm up. Identify the transformation ∆RST → ∆XYZ. Is XY congruent to RS? What is the length of XY?.

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ANSWER it if you are genius…

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  1. ANSWER it if you are genius… • A man and his wife have three sons, and every one of the sons has a sister… • How many are there in the family? • A. 6 B. 8 C. 10 D. 12

  2. Warm up • Identify the transformation ∆RST → ∆XYZ. • Is XY congruent to RS? • What is the length of XY?

  3. Math is brought to you by the number … • April 18, 2013 • Day 65 of 90 • 90-65 =

  4. Types of Quadrilaterals(4-sided figures)

  5. Parallelograms A four sided figure with both pairs of opposite sides parallel

  6. Some Special Properties of Parallelograms • Opposite sides are congruent • Diagonals bisect each other • Both pairs of opposite sides are parallel

  7. To Prove Parallel (use slope formula) • Means opposite sides have the SAME SLOPE Sides Congruent (use distance formula) • Means their distances are the same

  8. Solve for x.

  9. Solve for x.

  10. Rectangle A parallelogram with 4 right angles

  11. Some Special Properties of Rectangles • All the properties of a parallelogram • Diagonals are congruent • 4 right angles

  12. To Prove Parallel (use slope formula) • Means opposite sides have the SAME SLOPE 4 Right Angles (use slope formula) • Means consecutive sides have opposite reciprocal slopes Opposite Sides Congruent (use distance formula) • Means opposite sides have the same distance

  13. Rhombus A parallelogram with 4 congruent sides

  14. Some Special Properties of Rhombus • All the properties of a parallelogram • Diagonals are perpendicular • 4 congruent sides

  15. To Prove Parallel (use slope formula) • Means opposite sides have the SAME SLOPE Perpendicular (use slope formula) • Means diagonals have opposite reciprocal slopes Sides Congruent (use distance formula) • Means their distances are the same

  16. Solve for x in this rhombus.

  17. Rhombus.1. VY =2. mZVY Z

  18. Square A parallelogram with 4 congruent sides & 4 right angles

  19. Some Special Properties of Square • All the properties of a parallelogram, rectangle, & rhombus

  20. Solve for x in this square.

  21. Square1. EJ = 2. HF =3. mEJF4. mHGF

  22. Kite A quadrilateral with 2 pairs of consecutive congruent sides, but opposites sides are NOT parallel

  23. Some Special Properties of Kite • Diagonals are perpendicular

  24. To Prove Not Parallel (use slope formula) • All sides have a different slope 2 Pairs of Consecutive Sides Congruent (use distance formula) • Means two pair of sides have the same distance

  25. Trapezoid A quadrilateral with 1 pair of parallel sides called bases

  26. base leg leg base Trapezoids Have only one pair of opposite sides that are parallel.

  27. Isosceles Trapezoid A quadrilateral with 1 pair of parallel sides called bases and non-parallel sides are congruent (legs)

  28. Some Special Properties of Isosceles Trapezoid • Diagonals are congruent

  29. To Prove Bases Parallel (use slope formula) • Means 1 pair of opposite sides have the SAME SLOPE Legs Congruent (use distance formula) • Means their distances are the same Diagonals Congruent (use distance formula) • Means their distances are the same

  30. Classifying Trianglesby Sides • Equilateral – 3 congruent sides • Isosceles – 2 congruent sides • Scalene – No sides congruent

  31. To Prove Congruent (use distance formula) • Means their distances are the same; figure out how many sides of the triangle have the same distance

  32. Classwork Find the Missing Point Worksheet

  33. Homework Quadrilaterals and Parallelograms Homework Worksheet

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