Unit 5 Review. Can a regular polygon have interior angle measures of 100?

Unit 5 Review

• Can a regular polygon have interior angle measures of 100?

Can a regular polygon have interior angle measures of 100?

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.

Yes, t

he number o

f sides w

ou..

Yes, t

he number o

f sides w

ou..

No, the number

of sides o

f a...

No, reg

ular polyg

ons must

h...

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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?A. SquareB. RhombusC. RectangleD. Kite

Square

Rhombus

Rectangle Kite

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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.

A. TriangleB. HexagonC. OctagonD. Dodecagon

Triangle

Hexago

n

Octago

n

Dodecago

n

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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?

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? 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.

All sides

of a rh

ombus are

c...

Opposite si

des of a

rhombus..

.

The d

iagonals

of a rh

ombus a..

Opposite si

des of a

rhombus..

.

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Find the values of the variables in the parallelogram. The diagram is not to scale.

x°y°

z°

10229

Find the values of the variables in the parallelogram. The diagram is not to scale.

A. X=49 Y=29 Z=102B. X=49 Y=49 Z=131C. X=29 Y=49 Z=131D. X=29 Y=49 Z=102

x°y°

z°

10229

X=49 Y=29

Z=102

X=49 Y=49

Z=131

X=29 Y=49

Z=131

X=29 Y=49

Z=102

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ABCD is a parallelogram. If m<CDA = 66 then m<BCD

A B

D C

ABCD is a parallelogram. If m<CDA = 66 then m<BCD

A. 66B. 124C. 114D. 132

A B

D C

66124 114 132

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ABCD is a parallelogram. If m<CDA = 66 then m<CBA

A B

D C

ABCD is a parallelogram. If m<CDA = 66 then m<CBA

A. 66B. 114C. 124D. 132

A B

D C

66114 124 132

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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.

A. x = 7, NM = 20, OL = 22B. x = 5, NM = 20, OL = 20C. x = 7, NM = 22, OL = 22D. x = 5, NM = 22, OL = 20

O N

L M

x = 7, N

M = 20, O

L = 22

x = 5, N

M = 20, O

L = 20

x = 7, N

M = 22, O

L = 22

x = 5, N

M = 22, O

L = 20

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• WXYZ is a parallelogram. Name an angle congruent to <WZY.

X

ZW

Y

N

WXYZ is a parallelogram. Name an angle congruent to <WZY.

A. <ZXYB. <XWZC. <ZXWD. <WXY

X

ZW

Y

N

<ZXY

<XWZ

<ZXW

<WXY

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• Classify the figure in as many ways as possible.

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�

�

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|

|

|

|

Classify the figure in as many ways as possible.

A. rectangle, square, parallelogramB. rhombus, trapezoid, quadrilateral, squareC. rectangle, square, quadrilateral,

parallelogram, rhombusD. square, rectangle, quadrilateral

�

�

�

�

|

|

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|

recta

ngle, s

quare, p

arall

el...

rhom

bus, tra

pezoid, q

uadril

...

recta

ngle, s

quare, q

uadrilate.

..

square,

recta

ngle, quadrila

teral

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• Find the values of the variables and the lengths of the sides of this kite.

||

| | ||

y – 2 x + 2

2x + 2 x + 11

Find the values of the variables and the lengths of the sides of this kite.

A. x = 9, y = 13; 7, 15B. x =13, y = 9; 7, 15C. x = 9, y = 13; 11, 20D. x =13, y = 9; 11, 11

||

| | ||

y – 2 x + 2

2x + 2 x + 11

x = 9, y

= 13; 7

, 15

x =13

, y =

9; 7,

15

x = 9, y

= 13; 1

1, 20

x =13

, y =

9; 11

, 11

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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?

A. All quadrilaterals are rectangles.B. All quadrilaterals are squares.C. All rectangles are quadrilaterals.D. All quadrilaterals are parallelograms.

All quad

rilat

erals

are r

ectan

...

All quad

rilat

erals

are s

quares.

All recta

ngles a

re quad

rilate.

..

All quad

rilat

erals

are p

aralle

...

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• For the parallelogram, if m< 2 = 5x-28 and m<4 = 3x-10 find m< 3.

3 4

2 1

For the parallelogram, if m< 2 = 5x-28 and m<4 = 3x-10 find m< 3.

A. 9B. 17C. 173D. 163

3 4

2 1

9 17173 163

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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 C. x = 0, y = 5/2 D. x = 9, y = 5/2

O N

L M

x = 9, y

= 2/5

x = 0, y

= 2/5

x = 0, y

= 5/2

x = 9, y

= 5/2

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If find so that quadrilateral ABCD is a parallelogram

A B

CD

If find so that quadrilateral ABCD is a parallelogram. A. 41B. 139C. 82D. 278

A B

CD

41139 82

278

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In the rhombus, Find the value of each variable.

12

3

||

||

In the rhombus, Find the value of each variable.

A. x = 12, y = 84, z = 20B. x = 6, y = 174, z = 20C. x = 6, y = 84, z = 10D. x = 12, y = 174, z = 10 12

3

||

||

x = 12,

y = 84,

z = 20

x = 6, y

= 174,

z = 20

x = 6, y

= 84, z

= 10

x = 12,

y = 174

, z = 10

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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.

A. x = 4, DF = 13, EG = 13B. x = 4, DF = 15, EG = 18C. x = 4, DF = 15, EG = 15D. x = 2, DF = 13, EG = 13

x = 4, D

F = 13

, EG = 13

x = 4, D

F = 15

, EG = 18

x = 4, D

F = 15

, EG = 15

x = 2, D

F = 13

, EG = 13

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• Find the values of a and b.

36° b°

113°a°

Find the values of a and b.

A. a=144, b=67B. a=144, b=36C. a=113, b=67D. a=113, b=36

36° b°

113°a°

a=144

, b=67

a=144

, b=36

a=113

, b=67

a=113

, b=36

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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. A. 151B. 1C. 29D. 75

151 1 29 75

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and Find

U

R

S

T

||

| | ||

and Find

A. 65B. 70C. 35D. 80

U

R

S

T

||

| | ||

65 70 35 80

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Complete this statement: For parallelogram ABCD,

D

BA

C

O

Complete this statement: For parallelogram ABCD, A. DOB. COC. AOD. DC

D

BA

C

O

DO CO

AO DC

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• Determine each interior angle of a dodecagon.

Determine each interior angle of a dodecagon.

A. 1800B. 30C. 150D. 180

1800 30

150 180

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