Polygons
Special Parallelograms
Parallelogram theorems
Proving parallelograms in coordinate plane
100
What is the sum of the interior angles of a quadrilateral?
360 degrees
100
Name the three special parallelograms.
square, rectangle, rhombus
100
In a quadrilateral, if both pairs of opposite sides are ________, then it is a parallelogram.
congruent OR parallel
100
What is the midpoint formula?
(x2 + x1)/2 , (y2 + y1)/2
200
How many angles does a dodecagon have?
12 angles
200
In which types of parallelograms are the diagonals congruent?
square and rectangle
200
In a quadrilateral, if both pairs of opposite sides are parallel, then it is a ____________.
parallelogram
200
What is the distance formula?
300
What is the formula for the sum of interior angles of a polygon?
s = (n-2)180
300
In which types of parallelograms are all angles congruent?
squares and rectangles
300
In a quadrilateral, if one pair of opposite sides is ________ and _________, then it is a parallelogram.
parallel; congruent
300
How would you use the slope formula to prove quadrilateral ABCD a parallelogram? (Explain what you have to prove.)
Prove that sides AB and CD have the same slope. Then prove that sides AD and BC have the same slope.
This means that both pairs of opposite sides are parallel, which makes this a parallelogram.
400
The sum of a polygon's interior angles is 1080. How many sides does it have?
8
400
In which two types of parallelogram are all sides congruent?
square and rhombus
400
In a quadrilateral, if __________ angles are congruent, then it is a parallelogram.
opposite
400
Using the midpoint formula, prove that the following quadrilateral is a parallelogram:
A(0,0) B(1,3) C(5,3) D(4,0)
Midpoint for both = (5/2, 3/2)
500
The sum of a polygon's interior angles 540. Each of its interior angles are congruent. What is the measure of one of its EXTERIOR angles?
72 degrees
500
The diagonals of a square form ________ angles.
right/perpendicular
500
If two consecutive angles in a quadrilateral are ____________, then it is a parallelogram.
supplementary
500
Using the midpoint formula, prove whether the following quadrilateral is a parallelogram:
R(-1,0) S(3,0) T(2,-3) U(-3,-2)
RSTU is NOT a parallelogram