Unit 9 Notes - · PDF file3/18 Quiz 3 Unit 9 Review #1 Thurs 3/19 Review Unit 9 Review #2 Fri 3/20 Test You can do it!!! Good Luck! Name _____ Score

CP Geometry Unit 9 Quadrilaterals
e = even problems only o = odd problems only m = every 4th problem (4, 8, 12, etc) Date Lesson Assignment Stamp
Mon 3/2
6.1 p. 325: 1, 2, 4 9, 14 16, 18 - 20, 27 32, 41 45o
Tues 3/3 6.2A p. 333: 1 11, 20 25, 27 39 o
Wed 3/4 6.2B p. 333: 11 19 o, 38 two-column proof, 40 44, 55, 57
Thurs 3/5 Quiz 1 Cumulative Review
Fri 3/6 6.3A p. 342: 1 19 o
Mon 3/9 6.3B p. 342: 8, 21, 24, 25, 26
Tues 3/10 Quiz 2
Wed 3/11 6.4A p. 351: 1, 3 6, 16 21, 33 43 o
Thurs 3/12 6.4B p. 351: 12, 14, 28, 30, 36, 44, 59, 60
Fri 3/13 6.5A p. 359: 1, 3, 5, 10 17, 19, 21, 22, 24
Mon 3/16 6.5B p. 360: 28 33, 35, 39, 51
Tues 3/17 6.6 p. 367: 8 13, 16 18, 30 35, 37 41 o
Wed 3/18 Quiz 3 Unit 9 Review #1
Thurs 3/19 Review Unit 9 Review #2
Fri 3/20 Test
Good Luck! You can do it!!!
Name __________________________
Score _______ _______ _______
assignments notes rnw

6.1 Polygons
Learning Goal: _____________________________________________________________________________
Polygon: A two - ____________________ plane ________________ formed by
_____________ or _____________ line segments called ______________.
_________________ sides are non - ____________________.
Each side ________________ exactly ______ other sides at their _______________.
Polygons are named by listing the _______________ in ___________________ order. EX: Which of the following shapes is a polygon? If not a polygon, why? Polygon classification: Convex: No _____________ that contains a ____________
passes through the ____________________ of the polygon.
Concave: A polygon that is not _________________.

EX: Is the figure a polygon? If it is classify by number of sides and state whether it is convex
or concave. If not, explain. a. b. c.
Equilateral: ___________ sides _____________________. Equiangular: ___________ angles _____________________. Regular: ______________________ and ______________________. EX: State whether the polygon is best described as equilateral, equiangular, or regular. a. b. c.
Interior Angles of a Quadrilateral: The ___________of the _____________________ of
the ___________________ angles of a _____________________________ is ___________.
EX: Find the value of x. EX: Find the measure of each interior angle.
(x 25)o
xo
xo
(x 25)o
80
( )20x x
D
B
C
A
x

6.2A Properties of Parallelograms
Learning Goal: _____________________________________________________________________________
Properties of Parallelograms: Both pairs of opposite sides are parallel Opposite sides are congruent Opposite angles are congruent Diagonals bisect each other Consecutive interior angles add up to equal 180 EX: Is the figure a parallelogram? Explain. a. b. c.
EX: Fill-in the blank based on !MNOP . a. MQN _______ because ________________ angles are ______. b. NPO _______ because ________________ lines cut by a ___________________ create ______ alternate ______________ angles.
c. MN ______ because ________________ sides of a parallelogram are ______.
d. MN ! _______ because ________________ sides of a parallelogram are ______. e. MPO _________ because ________________ angles of a parallelogram are ______.
f. PQ _______ because the _______________ of a parallelogram ____________ each other.
D
B
C
E
A

EX: Find JH and KH. EX: Find the missing angle measures of the parallelogram.
EX: Find the value of each variable in the parallelogram. a. b.
c. d.
K J
H G
L
6 8
K J
H G
105o
(3x + 18)o
K J
H G (4x 9)o

6.2B Properties of Parallelograms
Learning Goal: _____________________________________________________________________________
Given: !ABCD Prove: 2 4
Statements Reasons 1. !ABCD 1. Given 2. 2.
3. 3.
4. 4.
5. 2 4 5.
Given: !PQRS, !RSTU Prove: PQ !TU
Statements Reasons 1. !PQRS, !RSTU 1. Given 2. 2.
3. 3. Given: !ACDF ,!ABDE Prove: AFE DCB
Statements Reasons
1. !ACDF ,!ABDE 1. Given
2. 2.
3. 3.
4. 4.
5. 5.
6. 6.
7. 7.
8. AFE DCB 8.

6.3A Proving Quadrilaterals are Parallelograms
Learning Goal: _____________________________________________________________________________
Theorems to Prove a Quadrilateral is a Parallelogram: If in a quadrilateral
both __________ of __________________ sides are ______
both __________ of __________________ angles are ______
one ______________ is _________________________to
____________ of its ____________________ angles
___________________ that _______________ each other
one __________ of _________________ sides are both
______________ and ______
then the quadrilateral is a parallelogram.
EX: Decide whether you are given enough information to determine that the quadrilateral is a
parallelogram. Explain your reasoning.
a. b. c. d.
EX: Describe how you would prove that ABCD is a parallelogram.
a. b. c.
Copyright by Holt, Rinehart and Winston. 22 Holt GeometryAll rights reserved.
Name Date Class
LESSON Review for MasteryConditions for Parallelograms6-3
You can use the following conditions to determine whether a quadrilateral such as PQRS is a parallelogram.
P S
Q R
Conditions for Parallelograms
_
QR ! _
SP _
QR " _
SP
If one pair of opposite sides is ! and ", then PQRS is a parallelogram.
_
QR " _
SP _
PQ " _
RS
If both pairs of opposite sides are ", then PQRS is a parallelogram.
!P " !R!Q " !S
If both pairs of opposite angles are ", then PQRS is a parallelogram.
_
PT " _
RT _
QT " _
ST
If the diagonals bisect each other, then PQRS is a parallelogram.
A quadrilateral is also a parallelogram if one of the angles is supplementary to both of its consecutive angles.
65! " 115! # 180!, so !A is supplementary to !B and !D.
Therefore, ABCD is a parallelogram.
CB
A D
115
11565
Show that each quadrilateral is a parallelogram for the given values. Explain.
1. Given: x # 9 and y # 4 2. Given: w # 3 and z # 31
R S
TQ
2x $ 6
4y
y " 12
x " 3
D
E
C
F
4w $ 2
(3z " 25)
2zw " 7
P S
Q R
P S
Q R
P S
Q R
P S
Q RT
Name Date Class
P S
Q R
_
QR ! _
SP _
QR " _
SP
_
QR " _
SP _
PQ " _
RS
!P " !R!Q " !S
_
PT " _
RT _
QT " _
ST
If the diagonals bisect each other, then PQRS is a parallelogram.
A quadrilateral is also a parallelogram if one of the angles is supplementary to both of its consecutive angles.
65! " 115! # 180!, so !A is supplementary to !B and !D.
Therefore, ABCD is a parallelogram.
CB
A D
115
11565
Show that each quadrilateral is a parallelogram for the given values. Explain.
1. Given: x # 9 and y # 4 2. Given: w # 3 and z # 31
R S
TQ
2x $ 6
4y
y " 12
x " 3
D
E
C
F
4w $ 2
(3z " 25)
2zw " 7
P S
Q R
P S
Q R
P S
Q R
P S
Q RT
Name Date Class
P S
Q R
_
QR ! _
SP _
QR " _
SP
_
QR " _
SP _
PQ " _
RS
!P " !R!Q " !S
_

Documents

Unit 9 Notes - · PDF file3/18 Quiz 3 Unit 9 Review #1 Thurs 3/19 Review Unit 9 Review #2 Fri 3/20 Test You can do it!!! Good Luck! Name _____ Score