Exam Review Problems

#1 Chapter 5

Write the most descriptive name A 4 sided figure in which the diagonals are

perp. Bis. Of each otherA 4 sided figure with diagonals bisecting

each otherA triangle in which there is a hypotenuseA 4 sided figure with diagonals congruent

and all sides congruent

#2 Chapter 5

2 consecutive angels of a parallelogram are in a ratio of 7 to 5. Find the larger angle.

#3 Chapter 5

a) Find angle F b) Perimeter of FGHJ

(4x+12)

40

2x+3

x+5

F

G H

J

#4 Chapter 7

a) Find the sum of the angles of a nonagon.

b) If each angle of a regular polygon is 168, how many sides does the polygon have?

c) How many diagonals does a heptagon have?

#5 Chapter 7

a) Find x b) Is ABC Isosceles?

(3x+10)40

(7x-30)

A B

C

D

#6 Chapter 9

Find the perimeter of a rhombus whose diagonals are 10 and 24.

#7 Chapter 8

a) Find BC

b) Find AB

c) Is Triangle DEC acute, right or obtuse?

9

86

10

AB DE

A

B C

D

E

#8 Chapter 8

a) Find the mean proportional between ¼ and 49

b) Solve for y.

10

10

5

5

yy

#9 Chapter 7

The sum of the angles of an equiangular polygon is 3960. Find the measure of each exterior angle.

#10 Chapter 8

Find AB.

4

12x+2

x

mDCB = 50.46

mACD = 50.46

A B

C

D

#11 Chapter 5

The consecutive sides of a quadrilateral measure x-17, 24-x, 3x-40 and x+1. The perimeter is 42. Is the figure a parallelogram?

#12 Chapter 8

Given: PQ is parallel to TR

Find: a) PT

b) TR

6 12

16

PS=15P

Q S

T

R

#13 Chapter 8

Find x

3

x

15

16

mGBC = 18.51mABG = 18.51

G

A

BC

#14 Chapter 10

Find x.

x1220

#15 Chapter 9

Find x.

DAC=90B=90

x

13

4

3A

B

CD

#16 Chapter 9

a) Find WYb) Find YZ c) Find XZ

WXXY and XZWY

10

6W Y

X

Z

#18 Chapter 11

Find the area of the trapezoid.

10 10

15

8

#19 Chapter 11

Find the area of the triangle.

10

#20 Chapter 10 and 11

Find the area of the Circle.

5

GF=24, Circle E

E

FG

#21 Trig-Chapter 9

Find p.

mACB = 90.00

9

18 pA

B C

#22 Chapter 10

Find q.

97

q

D

#23 Chapter 7

Find r.

r

7222

A

B C D

#24 Chapter 10

Find s.

s

m of arcDFB=258

A

B

E

D

F

#25 Chapter 9 and 11

Find the area of the polygon.

mDCB = 90.00mABC = 90.00

7

10

13

A

B C

D

#26 Chapter 7

Find the number of sides of an equiangular polygon if each interior angle is 170°.

#27 Chapter 11, 9 and 4

If M is the midpoint of AB, what is the area of the shaded region?

M

A(-6,8)

B(10,0)

#28 Chapter 12

Find the volume and total surface area of a circular cone with a height of 4 and a base radius of 3.

#29 Chapter 10

Given: Conentric Cirlces, with arcCD=70° and arcQR=54°

Find: arcABQ

R

PB

C

D

A

#30 Chapter 8

a) Find DE

b) Find CD

c) Is ABE a rt triangle?

9

6

4

8

A

C D

BE

#31 Chapter 7

B and E are midpoints of AC and AD. Find CD.

2-5x

5-2x

A

C D

B E

#32

Chapter 6 question 10