Secondary Math II Honors – Term 1 Review for Final Exam
Name________________________________________ Period ___________
1. Given the points: (-3, 6) and (-3, 9)
a. Find the slope b. Give the equation of the line
e. find the distance between the points f. find the
2. Given the points: (-4, 4) an (-5, 8)
a. Find the slope b. Give the equation of the line
e. find the distance between the points f. find the
c. Find the x and y intercepts d. graph the line
midpoint between the given points
b. 2√3 • 3√2
3. Simplify the radicals: a. √72
4. Simplify the expressions: a.)
c. Find the x and y intercepts d. graph the line
midpoint between the given points
6
𝑥+2
=
4
𝑥−8
5. Simplify the expressions: a.) x2 - 3x - 4 - (3x +5)
6. Determine whether inductive reasoning or
deductive reasoning is used in each situation and
explain your reasoning.
Jose is shown the first six numbers of a series of
numbers: 7, 11, 15, He concludes that the general rule
for the series of numbers is
.
b.)
c. (3 2) 2
6−𝑥
4
𝑥+2
=
3
c.)
10a  2a3
b.) 4(x + 6) – 2(x – 1)
7. Determine whether inductive reasoning or deductive
reasoning is used in each situation. Then determine
whether the conclusion is correct and explain your
reasoning.
Miriam has been told that lightning never strikes
twice in the same place. During a lightning storm, she
sees a tree struck by lightning and goes to stand next to
it, convinced that it is the safest place to be.
8. Write the statement in A.) Conditional,
B.) Converse, C.) Inverse, and D.) Contrapositive
forms.
9. In each situation, identify whether each person is
using inductive or deductive reasoning and explain
your reasoning .
34. John likes to watch the long coal trains moving past his
35. Two lines are not on the same plane. So, the lines are
house. Over the weeks of watching he notices that every
skew.
train going east is filled with coal, but the trains heading
west are all empty. He tells his friend Richard that all
trains heading east have coal and all trains heading west
are empty. When Richard hears a train coming from the
west, he concludes that it will certainly be filled with
coal.
10. The measure of the supplement of an angle is one third the measure of the angle. What is the measure of each
angle?
11. The measure of the complement of an angle is 4 times the measure of the angle. What is the measure of each
angle?
12. Name the property demonstrated:
13. Name the property demonstrated:
14. Given 𝑚∠𝑥 = 40°, find the
measure of each numbered angle in the
figure.
15. Use the figure to the right to
write the postulate or theorem that
justifies each statement.
a. m∠1 = m∠8, so a ∥ 𝑏
b. m∠4 + m∠6 = 180°, so a ∥ 𝑏
c. a ∥ 𝑏, so m∠3 = m∠7
d. m∠2 + m∠8 = 180°, so a ∥ 𝑏
e. m∠4 = m∠5, so a ∥ 𝑏
16. Given a triangle with side lengths of 8 cm and 3 cm,
what are possible side lengths for the missing side?
17. Given a triangle with side lengths of 9 in and 20 in,
what are the possible side lengths for the missing side?
18. What is the formula for the area of a triangle?
19. What is the formula for the area of a square?
20. List the side lengths from shortest to longest.
21. List the side lengths from shortest to longest.
22. Solve for the measure of angle E.
23. Solve for the measure of angle UVS.
24. Find the length of a
26. Find b and c
25. Find the length of a
27. Find a and b
28. Jesse made a quilt. The quilt is in the shape of a square with a diagonal length of 6 ft. What is the area of the
quilt?
29. Find the area of the triangle in #26.
30. Given FD = 6, find the length of EG.
E
31. Given: AB = √5 , BC = 2√2. Find AC.
C
B
60
F
A
60
G
D
32.
has vertices A(1, 2), B(3, 6), and C(9, 7).
What are the vertices of the image after a dilation with a
scale factor of 4 using the origin as the center of
dilation?
33.
has vertices D(8, 4), E(2, 6), and F(3, 1).
What are the vertices of the image after a dilation with a
scale factor of one-half using the origin as the center of
dilation?
34. The given triangles are similar. Justify the similarity
by stating the similarity theorem used and showing
calculations.
35. The given triangles are similar. Justify the similarity
by stating the similarity theorem used and showing
calculations.
36. What information would you need to use the SideAngle-Side Similarity Theorem to prove that the
triangles are similar?
37. What information would you need to use the SideAngle-Side Similarity Theorem to prove that the
triangles are similar?
38. Determine whether each pair of triangles is similar.
Explain your reasoning.
39. Determine whether each pair of triangles is similar.
Explain your reasoning.
40. Determine whether each pair of triangles is similar.
Explain your reasoning.
41. Determine whether each pair of triangles is similar.
Explain your reasoning.
42.
43.
bisects
. Calculate HF.
bisects
. Calculate NM.
44. Given: ABC is a triangle
D is the midpoint of
E is the midpoint of BC
DE = 9 cm, AC = ?
45. Given: XYZ is a triangle
T is the midpoint of
U is the midpoint of
ZX = 8√2 ft, TU = ?
46. Solve for x.
47. Solve for x.
48. The vertices of triangle ABC are A (5, 3), B (2, 8),
and C
. Translate the triangle 6 units to the left to
form triangle
.
49. The vertices of quadrilateral WXYZ are
, and Z (3, 7). Translate
the quadrilateral 5 units to the right and 8 units down to
form quadrilateral
.
50. The vertices of rectangle DEFG are
,
, F (1, 8), and G (1, 1). Rotate the rectangle
about the origin
counterclockwise to form
rectangle
.
51. The vertices of triangle ABC are A (5, 3), B (2, 8),
and
. Reflect the triangle over the x-axis to
form triangle
.
52. Determine the angle measure or side measure that is
needed in order to prove that each set of triangles are
congruent by SAS.
In
,
, and
. In
, and
.
53. Determine the angle measure or side measure that is
needed in order to prove that each set of triangles are
congruent by SAS.
In
, and
. In
, and
.
54. Determine whether there is enough information to
prove that each pair of triangles are congruent by SSS or
SAS. Write the congruence statements to justify your
55. Determine whether there is enough information to
prove that each pair of triangles are congruent by SSS or
SAS. Write the congruence statements to justify your
reasoning.
reasoning.
56. Determine the angle measure or side measure that is
needed in order to prove that each set of triangles are
congruent by ASA.
In
, and
. In
, and
.
57. Determine the angle measure or side measure that is
needed in order to prove that each set of triangles are
congruent by AAS.
In
, and
. In
, and
.
58. Determine whether there is enough information to
prove that each pair of triangles are congruent by ASA
or AAS. Write the congruence statements to justify your
59. Determine whether there is enough information to
prove that each pair of triangles are congruent by ASA
or AAS. Write the congruence statements to justify your
reasoning.
reasoning.
60. List the triangle congruence theorem modeled. Then
give a triangle congruence statement.
61. List the triangle congruence theorem modeled. Then
give a triangle congruence statement.
62 . List the triangle congruence theorem modeled.
Then give a triangle congruence statement.
63. List the triangle congruence theorem modeled. Then
give a triangle congruence statement.
64. Given:
Is
column proof.
65. Given:
, and
and
are right
angles. Is
? Justify your answer
using a 2-column proof.
66. Given:
, and
and
are right angles.
? Justify your answer using a 2-
and
intersect at C,
Is there enough information to prove
Justify your answer using a 2-column proof.
?
67. Given:
bisects
, and
Is there enough information to prove
Justify your answer using a 2-column proof.
?