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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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Presentation on theme: "GSE Geometry UNIT QUESTION: What are the properties and characteristics of polygons? Today’s Question: What four things do we know about all parallelograms?"— Presentation transcript:

1 GSE Geometry UNIT QUESTION: What are the properties and characteristics of polygons? Today’s Question: What four things do we know about all parallelograms?

2 The prefix QUADR means 4. Quadrant Quadruple Quadricepts Quadrilateral

3 To name a quadrilateral...
list the vertices in order, like the sweeping hands of a clock. QUAD UADQ U Q ADQU A D DQUA

4 Consecutive C B Consecutive Sides A D One after the other

5 Consecutive C B Consecutive Vertices A D One after the other

6 Segment with two nonconsecutive vertices
Diagonal C B A D Segment with two nonconsecutive vertices

7 Find x.

8 Find x.

9 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

10 You MUST memorize (learn) the 5 properties of parallelograms.

11 Opposite angles are congruent
5-8 Parallelograms Opposite angles are congruent

12 Consecutive angles are supplementary.
ADD UP TO 180 Consecutive angles are supplementary.

13 Opposite sides are congruent

14 Diagonals bisect each other.
This cuts the diagonals into two equal parts.

15 23 K L 15 N M

16 23 K L 15 N M

17 23 K L 15 N M

18 K L P N M

19 Practice Worksheet

20 Other Quadrilaterals

21 Types of Parallelograms
SQUARES RECTANGLES RHOMBI

22 Have all the properties of parallelograms and TWO special properties
Rectangle Have all the properties of parallelograms and TWO special properties

23 RECTANGLE FOUR RIGHT ANGLES

24 A quadrilateral is a RECTANGLE if and only if it has four right angles

25 Diagonals are Congruent
RECTANGLE Diagonals are Congruent

26 PQRS is a rectangle P Q S R

27 PQRS is a rectangle P Q S R


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