Download Class Work ( 11 / 18 / 04 ) - Read and follow all directions carefully

Name:_________________________________________Per:_____Date:__________________
SEMESTER 2 Review
Integrated Math II
Simplify.
(1)
180
(2)
23
(3)
i 35
(4)
1
1  4i
(5)
(4m  5)2
(6)
(5  2i)(2  4i)
Solve.
(6)
x2  8x  2  0
(9)
(7)
Rewrite in vertex form and give the
coordinates of the vertex.
5x2  2 x  3
(10)
x2  6 x  2  y
(11)
Find the vertex, y-intercept and
x-intercepts.
y  4( x  1)2  3
Find f(-1), if
(12)
f ( x)  2 x  4 x  2 x  3
3
m3  25m
(8)
2
Check if the following points belong to
the graph of the function
f ( x)   x 2  4
(0, 4)
(2, 0)
(-5, 0)
Factor.
(13)
25m2  4
(14)
n2  9n  20
3x 2  11x  6
(15)
Describe the graph for the function.
(16)
y
5
f ( x)  x  6 x  8
2
4
3
2
1
–6
–5
–4
–3
–2
–1
–1
1
2
3
4
5
–2
–3
–4
–5
(17)
If point H is the midpoint of MS , find the values of x and MH .
In the figure at the right QW  ES and EB bisects SEW .
(18)
Name all the right angles:
S
(19)
Name all the obtuse angles:
B
T
(20)
Name all the acute angles:
(21)
mWEB = ____________
Q
E
W
6 x
(22)
I and J are complementary.
The mI = 37, what is mJ?
(23)
C and D are supplementary. The
mC = 3x – 5 and mD = x + 25.
Find each value:
x = _____, mC = _____, mD = _____
Use the figure.
(24) What is the intersection of plane GHIJ and plane CDIH?
(25) Which four points are coplanar?
(26) What is another way to name plane ABEF?
(27) What is the intersection of BE and plane ACHG?
Use the picture to the right to find the angles specified:
(28)
List all the angles that are congruent to k:
(29)
List all the angles that are congruent to g:
n
p
k
l
q
m
r
o
i
(30)
g
List all the angles that are congruent to d:
j
h
(31)
List all the angles that are congruent to n:
(32)
Find the measure of x and y.
d
a
(33)
e f
b c
Find the value of x in parallelogram
WXYZ
Fill in the corresponding letter(s) for each geometry term
_____ (34)
vertical angles
_____ (35)
right triangle
_____ (36)
equilateral triangle
_____ (37)
ABC
_____ (38)
angle bisector
_____ (39)
segment AB
_____ (40)
heptagon
_____ (41)
ray BA
_____ (42)
ray AB
_____ (43)
complementary angles
_____ (44)
supplementary angles
_____ (45)
isosceles triangle
_____ (46)
hexagon
_____ (47)
quadrilateral
_____ (48)
BAC
(49)
QUAD is a trapezoid with QU || DA
U
Q
120°
a = _______ b = _______
b
a
74°
D
A
In the figure below, CBEH is a rhombus.
E
(50)
B
What are the measures of HNE and HEN ?
mHNE = ________
mHEN = ________
12 cm
N
(51) What are the lengths of HN and NE ?
60 °
H
mHN = ________
mNE = ________
C
True/False.
_____ (52)
An obtuse angle is an angle whose measure is more than 180 o.
_____ (53)
The vertex of CAT is point C.
_____ (54)
A semicircle has an arc measure of 360o.
_____ (55)
A square is both a rhombus and a rectangle.
_____ (56)
The hypotenuse is always the longest side of a right triangle.
_____ (57)
A scalene triangle has no sides of the same length.
_____ (58)
A trapezoid has exactly one pair of congruent sides.
_____ (59)
A diagonal of a square divides it into two equilateral triangles.
_____ (60)
The diagonals of an isosceles trapezoid are congruent.
_____ (61)
A quadrilateral is a polygon with four sides.
_____ (62)
Parallel lines can sometimes intersect each other.
_____ (63)
SAS can be used to prove two triangles congruent.
_____ (64)
An acute angle is an angle that measures less than 90o.
_____ (65)
A diameter of a circle is a special type of chord.
Identify each construction below as: (Choose one and write it in the box.)
copy of a segment, copy of an angle, perpendicular bisector, perpendicular from a point, angle
bisector, parallel line
(66)
(67)
(68)
P
P
(69)
(70)
(71)
H
G
G
H
A
Use the figure to identify one example of the following:
(72)
A Median: __________________
(73)
A Perpendicular Bisector: __________________
(74)
An Angle Bisector: __________________
(75)
An Altitude: __________________
H
I
D
J
C
G
B
(76)
(77)
If AG is the angle bisector of NAL
and AE is the angle bisector of GAL,
and the mGAL = 38, then
mEAN = _______.
If a || b, then x = _______.
a
150
x
b
(78)
Use the diagram below to find the missing angle measurements. Show all your work.
a = __________
b = __________
c
c = __________
d
67
d = __________
e
120
b
e = __________
a
f
f = __________
g
g = __________
h
h = __________
Fill in the blank.
(79)
A quadrilateral that has four congruent sides, but not 4 congruent angles is a
__________________.
(80)
A quadrilateral that has two pairs of consecutive congruent sides is a _________________,
(81)
In an isosceles trapezoid, the base angles are ______________________.
(82)
The diagonals of a parallelogram ____________________ each other.
(83)
The consecutive angles of a parallelogram are _____________________.
(84)
The diagonals of a(n) _____________________ are congruent.
(85)
The _________________ of a rhombus bisect the angles of the rhombus.
(86)
An equilateral parallelogram is called a(n) _____________________.
(87)
The opposite angles of a parallelogram are ______________________.
(88)
The diagonals of a(n) ______________________ are perpendicular bisectors of each other.
(89)
Consecutive angles that share a leg of a trapezoid are ______________________.
Mark the diagram, verify the claim, plan your proof, and then write the proof.
(90)
Given:
CA is an altitude
CA is an angle bisector of MCR.
Show:
CMA   CRA
C
M
A
R
Use the three triangles below:
130
30
Triangle A
Triangle B
20
Triangle C
(91)
Which triangle above is obtuse?
(92)
Which triangle above is isosceles, but
not equilateral?
(93)
Which triangle above is scalene?
(94)
Which triangle above is acute?
(95)
Find the value of y.
(96)
List the angles in order from smallest
angle to largest angle.
(97)
The triangles below are similar.
(98)
LMNO QRST . Use the diagram to
find the following.
c
x = _____, y = _____, z = _____
21
28
14
d
9
c = ________
(99)
d = ________
A right triangle has legs of 6 and 8.
What is the measure of the
hypotenuse?
(100) In the square below, d = 20 in. What is
the perimeter of the square, to the
nearest tenth?
d
(101) Find x and round to the nearest tenth.
x
8
30
(102) Trigonometry:
S
O
H
C
A
H
T
O
A
(103)
sin =
Given ABC as shown, what is the
sine ratio, cosine ratio, and tangent
ratio of ACB?
A
5
C
cos =
3
4
B
tan =
(104) What is the value of x? Round answers
to the nearest tenth.
17
(105) Approximately how many feet tall is the
flagpole? Round answers to the
nearest tenth.
15
x
32 
50 ft.