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GEO: Ch6 - Polygons & Quad. Properties (Maynard)
Contributed by: Maynard
6.1

Which words correctly complete the statement

above?

A regular polygon is a polygon with _____________

side lengths congruent and _______________ angle

measures congruent.

no,  all

all,  no

all,  all

no,  no

Which figure is concave?
6.1
All interior angles of a convex pentagon sum to _______.?
6.1
180 degrees 

360 degrees

540 degrees

720 degrees

6.1
The  exterior angles of a convex polygon sum to
(Please just put the number, no label.)
degrees.
6.1

What is the measure of

angle HJK?

degrees
6.1

Find the angle measure of each interior angle of

a regular, convex octagon.

degrees

regular, convex heptagon

irregular, convex heptagon

irregular, concave hexagon 
6.1
Which best describes the figure?

irregular, concave heptagon

6.1
(No spaces or commas in your answer please.)

Find the measure of all interior angles of

a regular 40-gon.

degrees
6.2

If a quadrialteral is a paralellogram, then it's

opposite sides are

perpendicular and congruent

parallel and half the measure

parallel and congruent

skew and congruent

6.2

If a quadrilateral is a parallelogram, then it's

opposite angles are

congruent

complementary

always right

always obtuse 
6.2

If a quadrialteral is a parallelogram, then it's

consecutive angles are

always supplementary

always congruent

always complementary

6.2

If a quadrilateral is a parallelogram, then its

diagonals

never intersect

bisect each other

are always congruent

form right angles

6.2
What are the following lengths?
b)  FJ
a) FG 
inches
inches
15.5 in
6.5 in
6.2
A

What is the length of AB?

35

B

13

6.2
Figure ABCD  is a parallelogram.  Find each value.
a) Find the value of x
b)  Find BD
c)  Find CE.
inches
inches
6.2
A

Given parallelogram ABCD,

find each measure listed below.
x'
B
23'
z'
y'
D
110'
C
z=
y=
x =
C
6.2

y

A
130

(2x+10)

D
B
x =


y =
ABCD is a parallelogram.
6.3

True or False?

 

In a quadrilateral, if one pair of opposite

sides are both parallel and congruent, then

the figure is a parallelogram.

Please type either

T or F.

6.3

True or False?

 

In a quadrilateral, if the diagonals create

a right angle, then the figure is a parallelogram.

Please type either

T or F.

6.3

P

Given the information above, the figure

is a parallelogram.

55

YES

O

125
 NO 

T

55
R
6.3

S

The figure above is a parallelogram.

YES

K

130
130
 NO 

P

I

6.3

C

The figure, CAKE, above is a parallelogram.

YES

E

 NO 

A

K

6.3

Based on the given information, can you prove the

figure is a parallelogram?

yes, 2 opp. sides are parallel

     & congruent

no, not enough information

yes, diagonals are congruent

yes, diagonals bisect each other

6.3

S
Parallelogram  SNOW is drawn above.  Find WO.
W
(8p - 6)
(4p + 14)
N
(2p+10)
O
units
6.4

Given the following rectangle,

Find the value of x. 
5
3x

 75

5

10

25

20

5
6.4

A quadrilateral with four congruent sides and

four right angles is a.....

rhombus

square

kite

parallelogram

Which statement is true?

All quadrilaterals are squares.

All rectangles are squares.

All squares are quadrilaterals.

All quadrilaterals are parallelograms.

6.4
Is the Venn diagram true or false?
parallelogram

square

True

False

A square is a rectangle.
6.4
sometimes, always, never

KLMN is a rhombus.  Find the following.

b)  The value of y.
a)  LK

c)  Using your answer from part b,

what is the measure of ∡MNL?

units
degrees
6.4
6.4

Karlie's grandmother is making her a pillow

for her birthday.  She wants to sew four different

colored ribbons from the corner to the center

of the pillow. (One color coming from each

corner.)  If the pillow is 12 by 16 inches, how

long will each ribbon be?

 

inches
6.4

How would you best classify segment JL and

segment HK in quadrilateral HJKL?

only perpendicular

only congruent

congruent, perpendicular bisectors

only congruent bisectors, not perpendicular

6.5

If a parallelogram has diagonals that are

congruent, then it is a

Square

Rectangle

Rhombus

Quadrialteral

6.5

If a parallelogram has one set of consecutive

sides congruent, then it is a

Square

Rectangle

Rhombus

Quadrialteral

6.5

If a parallelogram has one diagonal that bisects

a pair of opposite angles, then it is a

Square

Rectangle

Rhombus

Quadrialteral

A rhombus is a parallelogram.
6.5
sometimes, always, never
6.5

Find the lengths and slopes of the diagonals of

parallelogram PQRS to determine which of the

following best describes the parallelogram.

 

         P (-1, 3)   Q (-2, 5)    R (0, 4)   S (1, 2) 

Rectangle, Rhombus and Square

Rectangle only

Rhombus only

Rectangle and Square, but not Rhombus

6.5

True

False

6.5
A
D
B
C
ABCD is a rhombus.

True

False

If the diagonals  are ...

The words square, rectangle and rhombus need

to go in the blanks below.  Use each word only

one time.

perpendicular
congruent

congruent and

perpendicular

then the parallelogram

is a ...

6.5
B
A
C
D

Given the markings on the

figure, it is a

Trapezoid

Kite

Rhombus

6.6
6.6
B
A
C
D

If CD = 5, then CB =

If  BA = 12, then DA =

If the measures are as above,

what is the perimeter of

the kite?

Are the following shapes trapezoids?  yes or no

6.6
6.6
46
x

The isosceles trapezoid is part

of an isosceles triangle with

vertex 46'. What is the measure

of the acute base angle of

the trapezoid?

134

113

46

67

6.6

Place the following in their correct category.

Use each word only once.

Exactly one pair
 of parallel sides
Four right angles
rectangle
rhombus
Exactly one pair of
congruent opposite angles
Four congruent sides
kite
trapezoid
6.6

In kite ABCD, m∡BCD = 98°, and m∡ADE = 47°.

Find each measure.

 

a) m∡DAE =
b) m∡BCE =
c) m∡ABC =
6.6
H

In trapezoid EFGH, FH = 13. and EA = 5.2.  Find AG.

E
A
F
G
6.6
Find x.
78
x
6.6
Find the following measures.
a) LM

b) RL

c) RN
d) PM
P
N
L
R
M
6.6
What is the length of EF?
11.5
8.5
6.6
What is m∡PAR?
P
(2x2-20)
A
R
degrees
(x2+44)
T
Answer yes or no if the rule applies to the figure.
Diagonals are congruent.
Square:

Rectangle:

Rhombus:

Parallelogram:
Kite:

Trapezoid:

Isosceles
Trapezoid:
Answer yes or no if the rule applies to the figure.
Opposite sides are congruent
Square:

Rectangle:

Rhombus:

Parallelogram:
Kite:

Trapezoid:

Isosceles
Trapezoid:
Answer yes or no if the rule applies to the figure.
Diagonals bisect each other.

Square:

Rectangle:

Rhombus:

Parallelogram:
Kite:

Trapezoid:

Isosceles
Trapezoid:
Answer yes or no if the rule applies to the figure.
Diagonals are perpendicular.
Square:

Rectangle:

Rhombus:

Parallelogram:
Kite:

Trapezoid:

Isosceles
Trapezoid:

In quadrilateral WXYZ all four sides are congruent

and both pairs of opposite sides are parallel.

Quadrilateral WXYZ must be a:

Square
Parallelogram
Rectangle
 Rhombus

The diagonals of a certain paralleogram are the

perpendicular bisectors of each other. The

quadrilateral must be a...

Square
 Rhombus
Rectangle
Trapezoid

One diagonal of a certain parallelogram bisects

the angles whose vertices it connects. No

information is given about the other diagonal. Which

of the following must the parallelogram be?

Trapezoid
Square
Rectangle
Rhombus
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