Name: _________________________________________________________ Date: _______________ Block: ________
Unit 9: Quadrilaterals
Topic/Assignment
Classify Polygons
HW: Classify Polygons
Worksheet
Polygons
HW: Angles in Polygons
Worksheet
Properties of Parallelograms
HW: Properties of Parallelograms
Worksheet
Proving Parallelograms
HW: Proving Parallelograms
Worksheet
Properties of Rhombuses,
Squares, and Rectangles
HW: Properties of Rhombuses,
Squares, and Rectangles
Worksheet
Properties of Kites and
Trapezoids
HW: Properties of Kites and
Trapezoids Worksheet
Special Quadrilaterals
HW: Special Quadrilaterals
Worksheet
I CAN statement
Turned in?
1) I can classify polygons by the number of sides.
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
Yes
No
1) I can find angle measures in polygons.
1) I can find angle and side measures in parallelograms.
1) I can use properties to prove quadrilaterals are
parallelograms.
1) I can use properties of rhombuses, rectangles and
squares.
1) I can use properties of kites and trapezoids.
2) I can use the properties to find missing side and angle
measures.
1) I can identify special quadrilaterals.
Unit 9 Review
The Unit 9 Test is on _______________________.
**If all eight assignments are completed by the day the Unit 9 test is given you will receive 5
extra points on the test. **
Name: _________________________________________________________ Date: _______________ Block: ________
Classify Polygons
Objective: Identify, name, and describe polygons.
Polygon
Convex:
Concave:
Ex. 1: Is the figure a polygon?
a)
b)
c)
Polygons are named for the number of sides that they have.
Ex. 2: Identify the type of polygon and state whether the polygon is convex or
# of Sides
Type of polygon
concave.
3
4
a)
b)
5
6
7
8
9
10
c) Draw a convex pentagon.
d) Draw a concave hexagon
11
12
n
Regular Polygon
Ex 3: Is the polygon below a regular polygon?
a)
b)
c)
Name: _________________________________________________________ Date: _______________ Block: ________
Polygons
Objective: Find angle measures in polygons. Use the sum of the measures of the interior angles of a quadrilateral.
Polygon Interior Angles
Theorem
Formula for SUM:
Formula for each Interior angle:
Ex. 1:
Find the sum of the measures of the interior angles of the convex polygon.
A. 16-gon
B. 23-gon
Ex. 2: Find the value of x in the diagrams below.
A.
B.
C.
The measure of each interior angle of a regular polygon is given below. How many sides does each
polygon have?
Ex. 3:
A. 140
B. 165
Name: _________________________________________________________ Date: _______________ Block: ________
Interior Angles of a
Quadrilateral
Ex. 4: Find the value of x:
a)
b)
x
Polygon Exterior Angle
Theorem
Draw:
Ex. 5: Find the value of x in each diagram.
A.
Ex. 6:
B.
Given the measure of each exterior angle of a regular n-gon, find the value of n.
A. 40
B. 30
Name: _________________________________________________________ Date: _______________ Block: ________
Properties of Parallelograms
Objective:
To use relationships to find sides and angles in parallelograms.
Definition of
Parallelogram
If a quadrilateral is a parallelogram…
Ex. 1: Sides & Angles in Parallelograms
Find the missing side lengths and the missing angles in the following parallelograms.
a)
b)
c)
d)
W
3n-15
X
(3y + 37)0
27
(6y +4)0
Z
2n + 3
Y
Name: _________________________________________________________ Date: _______________ Block: ________
Ex. 2: Diagonals of Parallelograms
a) ABCD is a parallelogram. AO = 15; DB = 10. Find CO, DO, and BO.
D
C
O
A
B
b) RSTU is a parallelogram RO =y + 3; SO = 2x;
TO = 3y – 7 ; UO = x + 5. Find x and y.
T
c) HIJK is a parallelogram IO = b + 2;
HO = a; KO = 3b - 10; JO = 2a –8.
Find a and b.
S
H
I
O
O
U
R
K
J
Name: _________________________________________________________ Date: _______________ Block: ________
Proving Parallelograms
Objective:
To use relationships to prove quadrilaterals are parallelograms.
Ways to Prove a Quadrilateral is a Parallelogram
Ex. 1 How can you show that the quadrilateral is a parallelogram?
Ex. 2 For what value of x is quadrilateral CDEF a parallelogram?
Ex. 3 Show that quadrilateral ABCD is a parallelogram.
Name: _________________________________________________________ Date: _______________ Block: ________
Rhombuses, Rectangles, and Squares
SIDES AND ANGLES:
PARALLELOGRAMS
Definition:
RHOMBUSES
Definition:
RECTANGLES
Definition:
SQUARES
Definition:
Ex. 1 List the quadrilaterals for which the statements are true:
a) Both pairs of opposite sides are parallel.
b) Both pairs of opposite sides are congruent.
c) All angles are congruent.
Ex. 2 Find the value of x:
a)
d) All sides are congruent.
b)
c)
Name: _________________________________________________________ Date: _______________ Block: ________
DIAGONALS
Parallelograms
Rhombuses
Rectangles
Squares
Ex. 3 List the quadrilaterals for which the statements are true.
a) The diagonals are congruent.
b) The diagonals bisect the angles.
c) The diagonals are perpendicular
Name: _________________________________________________________ Date: _______________ Block: ________
Kites and Trapezoids
Objective: To verify and use properties of trapezoids and kites.
Trapezoid
If a trapezoid is isosceles…
Ex. 1: ABCD is an isosceles trapezoid and mB = 1530. Find mA, mC, mD. Explain how you know each angle.
B
C
o
153
A
D
Ex. 2: If diagonal AC is 2x – 3 and diagonal BD is 41 – 6x, find the value for x and the measure of each diagonal.
A
B
D
C
Name: _________________________________________________________ Date: _______________ Block: ________
MIDSEGMENT
of a Trapezoid
Ex. 3: Find the midsegment or the value of x for the following trapezoids.
A.
B.
C.
D.
KITE
Ex. 4: Find the measures of the missing angles.
A.
B.
C.
Name: _________________________________________________________ Date: _______________ Block: ________
Pythagorean Theorem
Ex. 5: Find the missing side lengths of the following triangles.
A.
B.
C.
Ex. 6: WXYZ is a kite so the diagonals are ________________. Use the Pythagorean Theorem to find the lengths of
the sides.
A.
B.
C.
1.5
Name: _________________________________________________________ Date: _______________ Block: ________
Unit 9 SUMMARY Special Quadrilaterals
Directions: Place an “X” in the box for which each characteristic is true
Parallelogram
Figure with four sides
Angles add to 360
degrees
All s are 
Both pairs of opposite s
are 
Only one pair of opposite
s are 
All sides are 
Both pairs of opposite
sides are 
Both pairs of opposite
sides are ||
Only one pair of opposite
sides are ||
Diagonals are 
Diagonals are 
Diagonals bisect angles
at vertex
Diagonals bisect each
other
Rectangle
Rhombus
Square
Kite
Trapezoid
Isosceles
Trapezoid
Name: _________________________________________________________ Date: _______________ Block: ________
Ex. 1: Give the most specific name for the quadrilateral. Explain your reasoning.
Ex. 2: Points P, Q, R, and S are the vertices of a quadrilateral. Give the most specific name for PQRS. Justify
your answer.