Transcript Unit 4 Review

Unit 5 Review
• Can a regular polygon have interior angle
measures of 100?
Can a regular polygon have interior
angle measures of 100?
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A. Yes, the number of sides
would be 3.6
B. Yes, the number of sides
would be 4.5
C. No, the number of sides
of a regular polygon
must be a whole
number.
D. No, regular polygons
must have interior
angles measuring
greater than 100.
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• Quadrilateral ABCD has diagonals that are
perpendicular. It also has exactly one pair of
opposite angles with equal measure. What
type of quadrilateral is it?
Quadrilateral ABCD has diagonals that are
perpendicular. It also has exactly one pair of opposite
angels with equal measure. What type of quadrilateral
is it?
Square
Rhombus
Rectangle
Kite
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B.
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• A regular polygon has an exterior angle of 60.
Classify the polygon.
A regular polygon has an exterior
angle of 60. Classify the polygon.
Triangle
Hexagon
Octagon
Dodecagon
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B.
C.
D.
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• Delaney and Morgan are working on a
problem involving rhombus EAPL. The
diagonals are 8 and 6 cm long. Given that the
Pythagorean theorem is being used, which
property of a rhombus does Delaney need to
prove to Morgan that EA is 5 cm?
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A. All sides of a rhombus
are congruent.
B. Opposite sides of a
rhombus are parallel.
C. The diagonals of a
rhombus are
perpendicular.
D. Opposite sides of a
rhombus are
congruent.
..
Delaney and Morgan are working on a problem involving
rhombus EAPL. The diagonals are 8 and 6 cm long. Given that
the Pythagorean theorem is being used, which property of a
rhombus does Delaney need to prove to Morgan that EA is 5 cm?
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Find the values of the variables in the parallelogram.
The diagram is not to scale.
29
102
y°
z°
x°
Find the values of the variables in the
parallelogram. The diagram is not to scale.
29
102
y°
x°
Z=
10
2
49
Y=
49
X=
29
Y=
49
X=
49
Y=
29
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Z=
13
1
0%
Z=
13
1
0%
Z=
10
2
0%
X=
29
z°
Y=
X=49 Y=29 Z=102
X=49 Y=49 Z=131
X=29 Y=49 Z=131
X=29 Y=49 Z=102
X=
49
A.
B.
C.
D.
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ABCD is a parallelogram.
If m<CDA = 66 then m<BCD
A
D
B
C
ABCD is a parallelogram.
If m<CDA = 66 then m<BCD
66
124
114
132
A
B
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66
A.
B.
C.
D.
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ABCD is a parallelogram.
If m<CDA = 66 then m<CBA
A
D
B
C
ABCD is a parallelogram.
If m<CDA = 66 then m<CBA
66
114
124
132
A
B
C
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D
66
A.
B.
C.
D.
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• LMNO is a parallelogram. If NM = x + 15 and
OL = 3x + 5 find the value of x and then find
NM and OL.
O
N
L
M
LMNO is a parallelogram. If NM = x + 15 and
OL = 3x + 5 find the value of x and then find NM and
OL.
x = 7, NM = 20, OL = 22
x = 5, NM = 20, OL = 20
x = 7, NM = 22, OL = 22
x = 5, NM = 22, OL = 20
N
20
22
=
5,
NM
=
NM
x=
x=
7,
M
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22
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x=
5,
NM
=
20
,O
L=
20
7,
NM
=
L
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O
x=
A.
B.
C.
D.
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• WXYZ is a parallelogram. Name an angle
congruent to <WZY.
X
Y
N
W
Z
WXYZ is a parallelogram. Name an
angle congruent to <WZY.
<ZXY
<XWZ
<ZXW
<WXY
X
Y
N
Z
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0%
<W
XY
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<X
W
Z
0%
<Z
XW
W
<Z
XY
A.
B.
C.
D.
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• Classify the figure in as many ways as possible.
Classify the figure in as many ways as
possible.
A. rectangle, square, parallelogram
B. rhombus, trapezoid, quadrilateral, square
C. rectangle, square, quadrilateral,
parallelogram, rhombus
D. square, rectangle, quadrilateral
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• Find the values of the variables and the
lengths of the sides of this kite.
||
||
2x + 2
x+ 2
|
y–2
|
x + 11
Find the values of the variables and
the lengths of the sides of this kite.
y–2
|
x+ 2
||
||
2x + 2
x + 11
11
9;
11
,
y
13
,
x=
y
9,
x=
=
=1
=
y
13
,
x=
0%
3;
9;
7,
15
7,
3;
=1
y
9,
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11
,2
0
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15
0%
x=
x = 9, y = 13; 7, 15
x =13, y = 9; 7, 15
x = 9, y = 13; 11, 20
x =13, y = 9; 11, 11
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A.
B.
C.
D.
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Which statement is true?
All quadrilaterals are rectangles.
All quadrilaterals are squares.
All rectangles are quadrilaterals.
All quadrilaterals are parallelograms
Which statement is true?
All quadrilaterals are rectangles.
All quadrilaterals are squares.
All rectangles are quadrilaterals.
All quadrilaterals are parallelograms.
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B.
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D.
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• For the parallelogram, if m< 2 = 5x-28 and
m<4 = 3x-10 find m< 3.
3
2
4
1
For the parallelogram, if m< 2 = 5x-28
and m<4 = 3x-10 find m< 3.
3
4
1
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16
3
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17
3
2
17
9
17
173
163
9
A.
B.
C.
D.
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If
and
and
and
find the values of x and y for which
LMNO must be a parallelogram.
O
N
L
M
If
and
and
and
find the values of x and y for which
LMNO must be a parallelogram.
A. x = 9, y = 2/5
B. x = 0, y = 2/5
O
N
C. x = 0, y = 5/2
D. x = 9, y = 5/2
L
M
/2
=5
9,
x=
0,
x=
y
=5
/2
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x=
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y
=2
y
9,
x=
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If
find
ABCD is a parallelogram
so that quadrilateral
A
D
B
C
If
find
so that
quadrilateral ABCD is a parallelogram.
A
B
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8
C
13
9
D
82
41
139
82
278
41
A.
B.
C.
D.
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|
|
In the rhombus,
the value of each variable.
3
1
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|
2
Find
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3
1
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|
2
17
4,
4,
x=
12
,y
=
=8
x=
6,
y
=1
y
6,
x=
z=
10
z=
=
74
,z
=
84
,z
=
0%
10
0%
20
0%
20
0%
12
,y
x = 12, y = 84, z = 20
x = 6, y = 174, z = 20
x = 6, y = 84, z = 10
x = 12, y = 174, z = 10
x=
A.
B.
C.
D.
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In the rhombus,
Find the value of each variable.
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DEFG is a rectangle. DF = 5x – 5 and EG = x + 11.
Find the value of x and the length of each
diagonal.
DEFG is a rectangle. DF = 5x – 5 and EG = x + 11. Find
the value of x and the length of each diagonal.
x = 4, DF = 13, EG = 13
x = 4, DF = 15, EG = 18
x = 4, DF = 15, EG = 15
x = 2, DF = 13, EG = 13
13
=
13
,
=
DF
2,
x=
4,
DF
=
15
,
EG
=
15
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EG
=
x=
x=
4,
DF
=
15
,
EG
=
EG
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,
=
DF
4,
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13
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x=
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B.
C.
D.
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• Find the values of a and b.
a°
36°
113°
b°
Find the values of a and b.
a°
113°
b°
36
13
,
b=
67
0%
b=
13
,
b=
a=
1
44
,
b=
44
,
0%
36
0%
67
0%
a=
1
36°
a=
1
a=144, b=67
a=144, b=36
a=113, b=67
a=113, b=36
a=
1
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B.
C.
D.
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are base angles of an isosceles trapezoid JKLM.
If
and
find x.
are base angles of an
isosceles trapezoid JKLM. If
and
find x.
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29
151
1
29
75
15
1
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B.
C.
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and
Find
R
|
|
S
||
||
U
T
and
R
|
U
S
||
||
0%
0%
80
0%
70
0%
35
T
65
65
70
35
80
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A.
B.
C.
D.
Find
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Complete this statement: For parallelogram
ABCD,
D
C
O
A
B
Complete this statement: For
parallelogram ABCD,
DO
CO
AO
DC
D
C
O
B
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0%
CO
A
DO
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B.
C.
D.
Fastest Responders
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• Determine each interior angle of a dodecagon.
Determine each interior angle of a
dodecagon.
1800
30
150
180
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18
0
0%
15
0
0%
30
0%
18
00
A.
B.
C.
D.
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