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GSE Geometry UNIT QUESTION: What are the properties and characteristics of polygons? Today’s Question: What four things do we know about all parallelograms?
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The prefix QUADR means 4. Quadrant Quadruple Quadricepts Quadrilateral
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To name a quadrilateral...
list the vertices in order, like the sweeping hands of a clock. QUAD UADQ U Q ADQU A D DQUA
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Consecutive C B Consecutive Sides A D One after the other
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Consecutive C B Consecutive Vertices A D One after the other
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Segment with two nonconsecutive vertices
Diagonal C B A D Segment with two nonconsecutive vertices
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Find x.
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Find x.
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Washington, D.C. United States Capitol Washington Monument
Name the attraction that is located on a diagonal. Name the attractions that are located on the vertices. Washington Monument Jefferson Memorial White House Lincoln Memorial
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You MUST memorize (learn) the 5 properties of parallelograms.
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Opposite angles are congruent
5-8 Parallelograms Opposite angles are congruent
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Consecutive angles are supplementary.
ADD UP TO 180 Consecutive angles are supplementary.
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Opposite sides are congruent
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Diagonals bisect each other.
This cuts the diagonals into two equal parts.
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23 K L 15 N M
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23 K L 15 N M
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23 K L 15 N M
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K L P N M
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Practice Worksheet
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Other Quadrilaterals
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Types of Parallelograms
SQUARES RECTANGLES RHOMBI
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Have all the properties of parallelograms and TWO special properties
Rectangle Have all the properties of parallelograms and TWO special properties
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RECTANGLE FOUR RIGHT ANGLES
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A quadrilateral is a RECTANGLE if and only if it has four right angles
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Diagonals are Congruent
RECTANGLE Diagonals are Congruent
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PQRS is a rectangle P Q S R
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PQRS is a rectangle P Q S R
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