1 / 27

Parallelograms Rectangles Rhombi Squares

Parallelograms Rectangles Rhombi Squares. HOMEWORK: 5.5/1-6, 9-11,16, 17 5.6/1-13, 28. Parallelograms. DEFINITION. Parallelograms are quadrilaterals with Both pairs of opposite sides parallel. ABCD. ›. A. B. ›. ›. ›. ›. ›. D. C. 4 Properties of Parallelograms. Definition

dane-dodson
Download Presentation

Parallelograms Rectangles Rhombi Squares

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Parallelograms Rectangles Rhombi Squares HOMEWORK: 5.5/1-6, 9-11,16, 17 5.6/1-13, 28

  2. Parallelograms DEFINITION Parallelograms are quadrilaterals with Both pairs of opposite sides parallel. ABCD › A B › › › › › D C

  3. 4 Properties of Parallelograms Definition Quadrilateral with both pairs opposite sides parallel Properties 1) Both Pairs Opp Sides Congruent 2) Both Pairs Opp Angles Congruent 3) Consecutive Angles Supplementary 4) Diagonals Bisect Each Other

  4. Both Pairs Opp Sides Parallel Add a transversal and .. A B AB||DC 1 and 6 3 and 8 AD||BC 2 and 5 4 and 7 1 3 2 4 7 5 8 6 D C Alternate Int Angles Are Congruent

  5. Both Pairs Opp Sides Congruent X = 23 2Y – 16 = 42 2Y = 58 Y = 29 23 42 2Y - 16 X

  6. Both Pairs Opposite Angles Congruent X = 65 5Y – 5 = 115 5Y = 120 Y = 24 5Y - 5 X 115° 65°

  7. Consecutive Angles Are Supplementary 1 3 2 4 Supplementary angles have a sum of 180

  8. Consecutive Angles Are Supplementary 145˚ x x = 180 - 145 x = 35˚

  9. Diagonals Bisect Each Other B C BX = XD | || X AX = XC || | A D

  10. Diagonals Bisect Each Other B C 25 2x-5 A D

  11. RECTANGLES Definition Rectangles Are Parallelograms With 4 Right Angles All 4 properties About Parallelograms Are True… PLUS • Diagonals are congruent

  12. All Angles = 90° If 1 Angle In A Parallelogram Is A Right Angle, Then All 4 Angles Are Right Angles This gives us right triangles also

  13. | | | | Diagonals Are Congruent This Gives Us 4 Congruent Segments And 4 Isosceles Triangles This Tells Us A Lot About The Angles

  14. Diagonals Are Congruent 3x-2 3x-2 = 25 25 3x= 27 x = 9

  15. Congruent Pairs of Angles 2 3 4 1 11 9 10 12 8 5 7 6

  16. Congruent Pairs of Angles 2 3 4 1 11 9 10 12 8 5 7 6

  17. Congruent Pairs of Angles Find the angle measures 37˚ p b a m k s f r h d t

  18. RHOMBI Definition A Rhombus Is A Parallelogram With 4 Congruent Sides All 4 properties About Parallelograms Are True… PLUS • Diagonals are perpendicular • Diagonals bisect opposite angles

  19. 4 congruent sides 10 3Y + 1 = 10 3Y = 9 Y = 3 3Y + 1

  20. Diagonal are perpendicular A B Remember the Pythagorean thm. 5 AB = The perimeter Of rhombus ABCD = XC = DB = 3 4 X 20 D C 3 8

  21. Diagonals bisect opposite angles A B z y y = 50˚ X z= 30˚ 40˚ 50˚ D C

  22. SQUARE The Square Is The Most Special Of All !! Everything That’s True For All The Others Is True For Squares.

  23. Regular Quadrilateral SQUARE Regular Parallelogram Definitions Equiangular Rhombus Equilateral Rectangle Equiangular Equilateral Diagonals ≅ & ┴ diagonals bisect each other diagonals bisect opposite <‘s Opposite <‘s ≅ Opposite sides ≅ Consecutive <‘s = 180˚ Has all the properties of the parallelogram, rectangle and rhombus

  24. QUADRILATERALS PARALLELOGRAMS RECTANGLES RHOMBI SQUARES

  25. Quadrilaterals 4 sides, angles add to 360 Parallelograms Opp sides parallel, Opp sides congruent, Opp angles congruent, Consecutive angles =180, Diagonals bisect Rhombus All sides are congruent. Diagonals are perpendicular. Opp angles are bisected. Rectangle All angles are congruent. Diagonals are congruent. Square Everything

More Related