Download review for geometry final exam: spring

REVIEW FOR GEOMETRY SPRING FINAL
NAME______________________________________DATE_________________PER.______
REVIEW FOR GEOMETRY FINAL EXAM: SPRING
Part 1
________1.
Find the sum of the measures of the interior angles of a nonagon.
________2.
Find the sum of the measures of the exterior angles of a nonagon.
________3.
Find the measure of each exterior angle of a regular nonagon.
________4.
Mrs. Ellison asked her third period geometry class to identify a “mystery”
quadrilateral by giving them the following information:
It has two pairs of congruent sides. All 4 angles are congruent.
What is the “mystery” quadrilateral?
________5.
The midsegment of a trapezoid measures 18 cm. The lengths of the bases
could be:
A.
B.
C.
D.
________6.
5 cm and 18 cm
23 cm and 23 cm
11 cm and 25 cm
10 cm and 36 cm
18
The bases of a trapezoid have lengths x + 1 and 3x + 1. The length of the
midsegment is x + 8. Find the length of AB.
A
x+1
B
x+8
D
3x + 1
C
REVIEW FOR SPRING FINAL p.2
________7.
A quadrilateral that has exactly one pair of parallel sides is a:
________8.
Which of the following is true?
A.
B.
C.
D.
________9.
A rhombus is always a parallelogram.
A parallelogram is always a rectangle.
A rectangle is always a trapezoid.
A square is always a trapezoid.
ABCD is a rhombus. Find AC.
5x + 6
A
B
6x + 5
D
________10.
ABCD is a parallelogram. Find mB.
C
7x - 10
3
A
B
115
6
D
________11.
65
C
B
3
1
If ABCD is a rhombus, and m6 = 52, find m5.
C
6
5
E
4
A
________12.
2
D
If WXYZ is an isosceles trapezoid, WY = 3a + 7, and XZ = 7a – 5, find ‘a’.
W
X
Z
Y
REVIEW FOR SPRING FINAL p.3
________13.
In the triangle below, if AB = 6, then find AC.
Round to the nearest hundredth.
A
C
45
B
________14.
In the figure below, if BC = 5, then AB = ?
C
A
________15.
45
B
C
In the triangle below, AC = ?
30
A
________16.
7
Express cosA as a ratio.
A
8
C
________17.
Find the value of ‘x’:
4
x2

12 2 x  5
10
6
B
B
REVIEW FOR SPRING FINAL p.4
Use the figure below to answer questions 18 – 20.
y
J
2x
B
L
6
3x
F
14
7
T
BLT ~ JFK
K
________18. What is the scale factor of BLT to JFK?
________19. Find the value of ‘x’.
________20. Find the value of ‘y’.
________21. AED ~ BEC by:
A.
B
16
8
E
14
7
C
D
________22. A post oak tree outside of Mrs. Gentes house casts a 12-foot shadow at a
certain time of day. At the same time, her husband, who is 6 feet tall, casts a
two-foot shadow. How tall is the tree?
REVIEW FOR SPRING FINAL p.5
S
________23. Given that RT  AC, SA = 12, SC = 4, and CT = 5, find AR.
C
A
T
R
________24. Find the value of ‘x’.
3x + 6
9x - 24
________25. Find the value of ‘x’.
2x - 2
4
8
________26. Find the perimeter of STU.
x+2
T
M
7
5
L
8
8
N
S
U
LMN ~ STU
________27. Find the perimeter of a square that has an area of 121 cm 2.
________28. The area of a parallelogram is 91 cm2. Its height is 7 cm. Find the length of its
base.
REVIEW FOR SPRING FINAL p.6
________29. Find the area of the isosceles trapezoid below.
7
3
5
15
L
________30. Find the area of the rhombus below.
M
LP = 3
MP = 4
P
O
N
________31. The lengths of the sides of a triangle are 10, 10, and 12. Find its area.
________32. What is the area of the figure below?
Assume all angles are right angles.
1
2
6
2
2
______33.
Which of the following terms describes a segment that joins the center of a
polygon and the midpoint of a side?
A.
B.
C.
D.
______34.
Apothem
Radius
Regular Polygon
Side
Find the area of the rectangle:
17 cm
8 cm
REVIEW FOR SPRING FINAL p.7
______35.
Find the area of the square:
10 in.
______36.
The area of a triangle is 243 in2. If both its base and height are reduced to onethird their original length, what would its new area be?
______37.
Find the area of the regular hexagon with the indicated side length:
Round to the nearest hundredth.
______38.
Find the area of the regular polygon with the indicated radius:
14
5 2 in
______39.
Find the area of the equilateral triangle with the indicated apothem length:
Round to the nearest hundredth.
7 3 m