Warm up 1) Draw all lines of symmetry

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Presentation transcript:

Warm up 1) Draw all lines of symmetry 2) Draw a figure with 6-fold rotational symmetry using  A B D C 3) Name 4 congruent isosceles triangles

Sect. 3-2 Quadrilaterals

Quadrilaterals Def: Any four sided polygon is a quadrilateral 3.2 Properties of Quadrilaterals Quadrilaterals Def: Any four sided polygon is a quadrilateral

Types of Quadrilaterals 3.2 Properties of Quadrilaterals Types of Quadrilaterals Trapezoid is a quadrilateral with one and only one pair of parallel sides

Types of quadrilaterals Parallelogram is a quadrilateral with two pairs of parallel sides Rhombus is a parallelogram with four congruent sides

Types of quadrilaterals Rectangle is a parallelogram with four right angles Square is a parallelogram with four congruent sides and four right angles

3.2 Properties of Quadrilaterals Classify 1) 2)

3.2 Properties of Quadrilaterals Def: consecutive angles of a polygon are angles that have a side in common B A C

Properties of Parallelograms 3.2 Properties of Quadrilaterals Properties of Parallelograms opposite sides are ______________ opposite angles are___________ the diagonals ____________ each other consecutive angles are ________________.

Properties Rhombus: the diagonals are ____________ 3.2 Properties of Quadrilaterals Properties Rhombus: the diagonals are ____________

Properties Rectangle: the diagonals are ____________ 3.2 Properties of Quadrilaterals Properties Rectangle: the diagonals are ____________

Properties Square: the diagonals are _______________________ 3.2 Properties of Quadrilaterals Properties Square: the diagonals are _______________________

3) Rhombus ABCD AB = 6, AC = 8, and E D C Find: Find:

Key Skills given: MA = 16 RA = 9 find GR = GM= G R M A 3.2 Properties of Quadrilaterals Key Skills given: MA = 16 RA = 9 find GR = GM= G R M A

Key Skills 5) Make a conjecture about the properties of 3.2 Properties of Quadrilaterals Key Skills 5) Make a conjecture about the properties of parallelograms.

Assignment Page 151 # 5-33 all Quiz next time on 3-1 and 3-2