Definitions & Properties
Solving Parallelograms
Angles in a parallelogram
Slope & Distance Formula
General
100
Property: A quadrilateral is a parallelogram...
If _______ pairs of opposite sides are ___________.
both; congruent
100
If ABCD is a parallelogram, find the measures of CD, AD, <B and <A.
CD = 15
AD = 8
<B = 68 degrees
<A = 112 degrees
100
<3 and <2 are what types of angles?
Alternate Interior
100
Find the slope between the two points below:
X(3, 8) and Y (7, -4)
m = -3
100
What is the difference between supplementary and complementary angles?
Supplementary add to 180, complementary add to 90.
200
Property: A quadrilateral is a parallelogram...
If the diagonals _________ each other.
bisect
200
If RSTU is a parallelogram, find the measures of UT, ST, VS, and VT.
UT = 27
ST = 18
VS = 7
VT = 15
200
If ABCD is a parallelogram, then <BAD and <ADC are ______________ angles.
supplementary (add to 180)
200
Find the slope between the points below:
S(-2, 10) and T(1, 4)
m = -2
200
What is one property that could prove a quadrilateral to be a parallelogram?
Answers may vary
300
Definition: A parallelogram is a quadrilateral where...
______ pairs of _________ sides are _________.
both; opposite; parallel
300
If ABCD is a parallelogram, solve for x.
x = 13
300
If <3 is congruent to <2, then what two sides do we know are parallel?
AB and DC (Converse of AIA Thm)
300
Find the length of AB using the distance formula:
A(2, 4) and B(6, 1)
AB = 5 units
300
Define consecutive angles.
Right next to each other.
400
Property: A quadrilateral is a parallelogram...
If ____ pair of opposite sides are both _________ & _________.
one; congruent; parallel
400
If QRST is a parallelogram, solve for x.
x = 16
400
If <4 is congruent to <1, then what two sides do we know are parallel? 
AD and BC
400
Determine whether or not the four points below form a parallelogram using the SLOPE formula 4x:
A(1, 5), B(2, 8), C( 8, 4) and D(7, 1)
Yes! Both pairs of opposite sides are parallel.
400
Is a rectangle a parallelogram? Why or why not?
Yes, it fits all the properties and more.
500
Property: A quadrilateral is a parallelogram...
If one angle is ____________ to both of its ___________ angles.
supplementary; consecutive
500
If KLH = 134 degrees, solve for x.
180 - 134 = 46
4x + 9 + 25 = 46
4x + 34 = 46
x = 3
500
If PQ is parallel to RS, which angles do we know are congruent to each other (write down two pairs of angles)
<6 = <7
<3 = <2
500
Determine whether or not the four points below form a parallelogram using DISTANCE formula 4x:
J(2, 3), K(3, 6), L(7, 7) and M(10, 8)
No, KL and JM do not have the same length.
JK = sqrt10
LM = sqrt10
KL = sqrt17
JM = sqrt89
500
What is the difference between the AIA Thm and the Converse of the AIA Thm?
AIA Thm - If lines are parallel then AIA are congruent.
Converse - If AIA are congruent, then lines are parallel.