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Parallelogram Classification (6.5). 6. 5 Parallelogram Classification Essential Question: What makes a parallelogram a rhombus?

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Presentation on theme: "Parallelogram Classification (6.5). 6. 5 Parallelogram Classification Essential Question: What makes a parallelogram a rhombus?"— Presentation transcript:

1 Parallelogram Classification (6.5)

2 6. 5 Parallelogram Classification Essential Question: What makes a parallelogram a rhombus?

3 Parallelogram with 4 congruent angles

4 Parallelogram with 4 congruent sides

5 Parallelogram with 4 congruent sides and angles

6 RECTANGLES Things we know about rectangles…  4 right ∠ s  || sides  Opp. sides ≅  Opp. ∠ s ≅  CIA = 180  Diagonals bisected  Diagonals ≅

7 RHOMBI

8 Rhombi Things we know about rhombi…  4 ≅ sides  || sides  Opp. sides ≅  Opp. ∠ s ≅  CIA = 180  Diagonals bisected  Perpendicular diagonals  Diagonals are angle bisectors

9 Rhombus 4 congruent sides Rectangle 4 congruent angles

10 Sometimes 4 ≅ sides 4 ≅ ∠ s || sides Opp. sides ≅ Opp. ∠ s ≅ CIA = 180 Diagonals ≅ Diagonals bisected Perpendicular diagonals Diagonals are angle bisectors

11 Parallelogram Rectangle Rhombus Square || sides Opp. sides ≅ Opp. ∠ s ≅ CIA = 180 Diagonals bisected 4 ≅ ∠ s Diagonals ≅ Diagonals bisected 4 ≅ sides Perpendicular diagonals Diagonals are ∠ bisectors

12 5 min HOMEWORK: 6.5 all Technology Break

13 MID CHAPTER EXIT SLIP… Write your answers on a paper SEPARATE from your warm up. Work INDEPENDENTLY, not with a partner. Show work. You will be graded on your work.

14 Turn in to MS. Bohler, when finished. 1. What is the sum of the interior angles of a nonagon? 2. What is the measure of each interior angle of a regular nonagon? 3. The exterior angles of a quadrilateral are 5x+2, x – 7, 131, and 96. Solve for x. 4. ABCD is a quadrilateral. If m ∠ A=70 and m ∠ B=70, is ABCD a parallelogram? Why or why not? 5. A parallelogram has congruent diagonals. What kind of parallelogram is it?

15 Homework  6.5 ALL


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