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The opposite sides of a parallelogram are __________ and __________
The opposite sides of a parallelogram are parallel and congruent: > > > > > >
Given the following parallelogram, find x and y: 10 8 x y
x = 8 y = 10
The opposite angles of a parallelogram are __________.
The opposite angles of a parallelogram are congruent. 70 0 110 0
The diagonals of a parallelogram __________________________.
The diagonals of a parallelogram bisect each other: 12 8 8
The diagonals of a rhombus are __________ and ___________.
The diagonals of a rhombus are perpendicular and bisect opposite angles: 30 60 30 60
The diagonals of a rectangle are __________________.
The diagonals of a rectangle are congruent: LN HS LH = NS
Name the sides of the following trapezoid: 1 2 3 4
1- leg 2- base 3- leg 4- base
The __________ of a trapezoid connects the midpoints of the legs
The midsegment of a trapezoid connects the midpoints of the legs:
Find the length of the midsegment: 10 20
Midsegment = ½ (10 + 20) = 15
Midpoint Formula: A (x 1, y 1 ) B (x 2, y 2 ) M ( _____, _____ )
x 1 + x 2 y 1 + y 2 2 2, Midpoint = average
Find LN: L ( x 1, y 1 ) N ( x 2, y 2 )
LN = (x 1 – x 2 ) 2 + (y 1 – y 2 ) 2 (Distance Formula)
What 3 shapes in Geometry have “legs”?
Right TriangleIsosceles Triangle Trapezoid
Name each shape: Quadrilateral
Name each shape: Quadrilateral Kite Rectangle Parallelogram Trapezoid Rhombus Square
Always, sometimes or never? A rhombus is _______ a square. A rectangle is _______ a parallelogram. A parallelogram is _______ a trapezoid.
A rhombus is sometimes a square. A rectangle is always a parallelogram. A parallelogram is never a trapezoid.
Name the following segment:
Find x: 10 x
x = 5
Parallelogram A quadrilateral with both pairs of opposite sides parallel *opposite sides are congruent *opposite angles are congruent *diagonals bisect.
Parallelograms Rhombus Square Parallelogram Rectangle
Math 310 Section 10 Quadrilaterals Review. Trapezoid Definition: A quadrilateral with a pair of parallel sides. Special Notes! All the properties of a.
Quadrilateral Venn Diagram
: Quadrilaterals and Their Properties
Honors Geometry Section 4.5 (3) Trapezoids and Kites.
Use Properties of Trapezoids and Kites
6-6 Trapezoids and Kites.
Jose Pablo Reyes. Polygon: Any plane figure with 3 o more sides Parts of a polygon: side – one of the segments that is part of the polygon Diagonal –
Direct Analytic Proofs. If you are asked to prove Suggestions of how to do this Two lines parallel Use the slope formula twice. Determine that the slopes.
Bellwork Solve for x x-2 5x-13 No Clickers. Bellwork Solution Solve for x x-2 5x-13.
BellWork. OUTCOMES You will be able to: identify trapezoids by their properties. solve for missing information using trapezoid properties. Identify.
Chapter 6: Quadrilaterals
Polygon Properties - Ch 5 Quadrilateral Sum Conjecture The sum of the measures of the four angles of any quadrilateral is… degrees. C-30 p. 256.
A parallelogram has opposite sides and opposite angles equal.
Name That Quadrilateral Be as specific as possible. Trapezoid.
Special Parallelograms. Theorem 6-9 Each diagonal of a rhombus bisects the opposite angles it connects.
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