Ch. 6.4 Rhombus, Why?

A Rhombus is a type of parallelogram. It is a parallelogram with 4 congruent sides A Rhombus is a type of parallelogram. A rhombus has ALL of the qualities of a parallelogram Both pairs of opposite are sidesparallel► ► A rhombus has ALL of the qualities of a parallelogram Both pairs of opposite are sidescongruentA rhombus has ALL of the qualities of a parallelogram A pair of opposite sides are both II and ≅► ► A rhombus has ALL of the qualities of a parallelogram Both pairs of opposite are anglescongruent◞ ◞ ◝ ◟ ◜ ◜ A rhombus has ALL of the qualities of a parallelogram Diagonals BISECT each other (cut each other in half) A rhombus also has these special properties... All four sides are (the same)congruentA rhombus also has these special properties... Diagonals are perpendicular (form 90 degree angles) A rhombus also has these special properties... Diagonals each corner angleBISECT34 ∘ 34 ∘ 56 ∘ 56 ∘ 56 ∘ 56 ∘ 34 34 ∘ ∘ Why is this a rhombus??? All four sides are (the same)congruentDiagonals are (form 90 angles)perpendicularDiagonals each corner angleBISECT53 ∘ 53 ∘ Why is this a rhombus??? All four sides are (the same)congruentDiagonals are (form 90 angles)perpendicularDiagonals each corner angleBISECT22 22 22 22 Why is this a rhombus??? All four sides are (the same)congruentDiagonals are (form 90 angles)perpendicularDiagonals each corner angleBISECT37 ∘ 5 5 Why is this a rhombus??? All four sides are (the same)congruentDiagonals are (form 90 angles)perpendicularDiagonals each corner angleBISECTA 32 32 ∘ ∘ B 58 ∘ 58 ∘ 58 ∘ 58 ∘ D 32 32 ∘ ∘ C Why is this a rhombus??? All four sides are (the same)congruentDiagonals are (form 90 angles)perpendicularDiagonals each corner angleBISECT4y 4y 62 4y ∘ 4y Why is this a rhombus??? All four sides are (the same)congruentDiagonals are (form 90 angles)perpendicularDiagonals each corner angleBISECTAB60 D30 CWhy is this a rhombus??? The third triangle angle MUST be 90 (180 - 60 - 30 = 90) ANSWER: Diagonals are (form 90 angles)perpendicularAB60 D30 C |

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