Show:
Properties and Attributes of Polygons
Properties of Parallelograms
Conditions of Parallelograms
Properties of Special Parallelograms
Conditions for Special Parallelograms
100
Figure 1: Describe the polygon and name it by its sides.
What is a convex, regular, hexagon
100
Fill in the blank: If _____ is a parallelogram, then its diagonals bisect each other
What is a quadrilateral
100
Fill in the blank: If an angle of a quadrilateral is ____ to both of its consecutive angles, then the quadrilateral is a parallelogram
What is supplementary
100
Fill in the blank: If a quadrilateral is a rectangle, then it is a _______
What is a parallelogram
100
True or false: all squares are rhombi
What is true
200
True or false: figure 2 is a regular polygon
What is false
200
If the perimeter of parallelogram PQRS is 84, find the length of each side if PQ=QR
What is each side is 21
200
Figure 8: Determine if the quadrilateral is a parallelogram. Justify your answer.
What is yes, because diagonals bisect each other
200
Fill in the blank: If a parallelogram is a rhombus, then its diagonals are _______
What is they are perpendicular
200
True or false: figure 5 is a rectangle
What is true
300
True or false: the sum of the exterior angles change with the number of sides
What is false
300
In figure 3: the givens being
What is x=15
300
Figure 9: Find the values of a and b
What is a=16.5, b=23.2
300
Sometimes, always, never: 1. a rectangle is a parallelogram, 2. a rectangle is a square, 3. a rhombus is a square
What is 1. always, 2. sometimes, 3. sometimes
300
Figure 6: find the value of x needed to make the shape a rectangle
What is x=17
400
Find the sum of the interior angles of a nonagon
What is 1260 degrees
400
Explain why every parallelogram is a quadrilateral, but not every quadrilateral is a parallelogram.
What is because a parallelogram has two pairs of opposite, congruent, and parallel sides, but another shape such as a kite does not fit these parameters
400
Multiple choice: In figure 10, what additional information would allow you to conclude that WXYZ is a parallelogram? a. XY=ZW, b.WX=YZ, c.WY=WZ, d.<XWY=<ZYW
What is b.
400
Multiple choice: Which is not true of a rectangle? F: both pairs of opp. sides are congruent and || G. both pairs of opp. angles are congruent and supp. H: all pairs of opp. angles are congruent and perp. J: all pairs of consecutive angles are congruent and supp.
What is H.
400
Explain why all squares are rectangles, but not all rectangles are squares
What is the definition of a rectangle does not fit into the definition of a square, but it works the other way around
500
How to determine if a polygon is regular or not:
What is all sides are the same and all angles are the same
500
Use figure 4 to prove that
ABCD is a parallelogram --> given AB = CD, DA = BC --> opp. sides are congruent BD = BD --> reflexive ^BAD = ^DCB --> SSS CPCTC ^ABC = ^CDA --> SSS CPCTC
500
Figure 11: Given: AB=CD, BC=DA Prove: ABCD is a parallelogram [Fill in the blanks in the proof below] 1. AB=CD, BC=DA --> Given 2. BD=BD --> a._________ 3. ^DAB=b.____ --> c.______ 4. <1=d._____, <4=e._____ --> CPCTC 5. AB||CD, BC||DA --> f._____ 6. ABCD is a parallelogram --> g._______
What is a. reflexive, b. DCB, c. SSS, d. <3, e. <2, f. AIA -> || lines, g. opp. sides are || and congruent -> parallelogram
500
Figure 12: the figure is formed by joining eleven congruent squares. How many rectangles are there?
What is 51 rectangles
500
Figure 7: find the value of x for rhombus LKJM
What is x=6