Vocabulary
Name that Quadrilateral & ASN True
Parallelograms
Rectangles, Squares, & Rhombi
Trapezoids & Kites
Classifying Quadrilaterals on the Coordinate Plane
100
A shape with 4 sides and 4 angles
quadrilateral
100
This quadrilateral is most specifically a __________ because it has ___________________.
1.) Rhombus
2.) 4 congruent sides
100
Opposite sides are parallel for all parallelograms. Name at least two of the other four properties that are true for all parallelograms.
Name any two:
1) Opposite sides are congruent
2) Opposite angles are congruent
3) Consecutive angles are supplementary
4) The diagonals bisect each other
100
In rhombus WXYZ, what is the m<ZEY?
m<ZEY = 90o; diagonals are perpendicular
100
What is the relationship between a trapezoid and a kite?
There is no relationship
100
You are given the vertices of a quadrilateral and using the distance formula determine that all sides are congruent. What is your next step? Be specific.
Because the sides are congruent I know that it is a rhombus so I need to determine if it is a square. I would need to either
1. find the slopes of two consecutive sides and see if they are opposite reciprocals, meaning they are perpendicular/ form right angles. this would mean it is a square
OR
2. find the length of the diagonals. if they are congruent, it is a square
200
A quadrilateral with two sets of opposite sides that are parallel.
Parallelogram
200
This quadrilateral is most specifically a __________ because it has ___________________ and ____________________. 
1) Square
2) four right angles
3) all congruent sides
200
The following figure is a parallelogram. Find x.
68o
200
Given square LMNO, find the measure of angle LMO.
45o
200
What is the name given to the parallel sides in a trapezoid?
Bases
200
You are given the vertices of a quadrilateral and determine that there is one set of parallel sides (sides with the same slope). What should you do next?
Because there is one set of parallel sides it is a trapezoid. I should test to see if it is an isosceles trapezoid by finding the length of the legs using the distance formula.
300
What is the term for line segment d?
Diagonal
300
This quadrilateral is most specifically a ___________ because _________________.
1) Parallelogram
2) Opposite sides are parallel OR opposite angles are congruent
300
The following is a parallelogram. Find x and y. 
x = 31
y = 78
300
Find the value of z in the rhombus below. 
z = 105o
300
Name 3 properties of a kite.
1.) 2 sets of consecutive congruent sides
2.) Perpendicular diagonals
3.) The long diagonal bisects the short diagonal
4.) The angles that connect two non-congruent sides are congruent.
300
Find the length of side CB. Simplify your answer.
4√10
400
A quadrilateral with 4 congruent sides and 90o angles.
Square
400
This quadrilateral is most specifically a ___________ because __________________. 
1) Quadrilateral
2) No sides are congruent or parallel
400
The following is a parallelogram. Solve for y.
y = 59
400
The diagonals of a rhombus have what three properties?
1) Diagonals bisect each other
2) Diagonals are perpendicular
3) Diagonals bisect the angles at each vertex
400
An isosceles trapezoid has ____________________________________________ and ___________________________________________. Your answer must include the words: base(s) and leg(s)
An isosceles trapezoid has one set of parallel sides called bases and legs that are congruent.
400
Sides DC and AB appear to be parallel. Mathematically how would you prove that they are parallel?
Find the slope of each line. If they are parallel they will have the same slope. They both have a slope of 0.
500
A square has the properties of what other quadrilaterals?
Parallelograms, rhombi, and squares
500
Always True, Sometimes True, or Never True:
A rectangle is a square
Sometimes true
500
The following is a parallelogram. Solve for x.
x = -85
500
ABCD is a rectangle.
a) Find x
x =-3
500
DEFG is a trapezoid. Solve for x.
x = 0
500
Two students disagree about sides AB and DC being parallel. Are they? Prove it. 
They are not. Side AB has a slope of 1/3 and side DC has a slope of 1/4.
600
The diagonals of squares and rhombi cut the angles of all four vertices into two congruent angles. What is another name for this type of line segment?
An angle bisector
600
Always True, Sometimes True, or Never True:
A kite is a polygon.
Always true
600
The following is a parallelogram. Solve for y. 
y = 90
600
In rhombus WXYZ, WX = 4x-12. The perimeter is 160in. What is the value of x?
x = 13
600
UVWX is a trapezoid. Solve for x. 
x = 6
600
You have determined that LM || KJ making JKLM a trapezoid. Is it an isosceles trapezoid? Prove it. 
No. JM = √25 = 5 and LK = √26