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Parallelograms Rectangles Rhombi Squares

Parallelograms Rectangles Rhombi Squares. SECTION 8-2, 8-4, 8-5. spi.3.2.H. Jim Smith JCHS. Parallelograms. Parallelograms are quadrilaterals with Both pairs of opposite sides parallel. ABCD. ›. A. B. ›. ›. ›. ›. ›. D. C. 5 Things About Parallelograms. Definition

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Parallelograms Rectangles Rhombi Squares

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  1. Parallelograms Rectangles Rhombi Squares SECTION 8-2, 8-4, 8-5 spi.3.2.H Jim Smith JCHS

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

  3. 5 Things About Parallelograms Definition 1) Both Pairs Opp Sides Parallel Properties 2) Both Pairs Opp Sides Congruent 3) Both Pairs Opp Angles Congruent 4) Consecutive Angles Supplementary 5) Diagonals Bisect Each Other

  4. Both Pairs Opp Sides Parallel 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 4 2 Supplementary angles have a sum of 180

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

  9. RECTANGLES Rectangles Are Parallelograms With 4 Right Angles All 5 Things About Parallelograms Are True…PLUS • All angles = 90° • Diagonals are congruent

  10. 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

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

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

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

  14. RHOMBI A Rhombus Is A Parallelogram With 4 Congruent Sides All 5 Things About Parallelograms Are True…PLUS • 4 congruent sides • Diagonal are perpendicular • Diagonals bisect opposite angles

  15. 4 congruent sides 10 3Y + 1 = 10 3Y = 9 Y = 3 3Y + 1

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

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

  18. QUADRILATERALS PARALLELOGRAMS RECTANGLES RHOMBI SQUARES

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