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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.
A Four Sided Polygon! 1.BOTH pairs of opposite sides are parallel 2.BOTH pairs of opposite sides are congruent.
Activity In your group, you will be given a card. You will be using a Bubble Map to describe the shape. In the middle of the Bubble Map, please draw the.
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.
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