Download Name Period____________________ Secondary Math 2 Honors

Name _______________________________
Period____________________
Secondary Math 2 Honors Ch 1 and 2 Test Review
(Do work on a separate piece of paper)
1. Determine the distance between the points (5, 12) and (
).
2. Riki calculated the distance between the points (6, 2) and ( 1, 8).
a.
Are Riki’s calculations correct? Explain your reasoning.
b.
Determine the distance between the points (6, 2) and ( 1, 8).
3. Calculate the midpoint of a line segment with the
endpoints ( 2, 1) and (6, 3).
4. Calculate the midpoint of a line segment with the
endpoints (3, 5) and (7, 3).
7Define the following words:
7. Induction:
8. Deduction
9. Counterexample
5. The first four numbers in a sequence are 2, 22, 242,
and 2662.
a.
What is the next number in the sequence?
How did you calculate the next number?
b.
Tell how both inductive reasoning and
deductive reasoning were used and in what
order to make the conclusion stated in part
(a).
6. Madison earned $4500 while working 9 weeks
during the summer. She earned $9000 while
working 18 weeks during the fall semester.
a.
How much did Madison earn per week?
b.
Did you use deductive reasoning or
inductive reasoning to answer part (a)?
Explain your reasoning.
Determine whether inductive reasoning or
deductive reasoning is used in each situation. Then
determine whether the conclusion is correct and
explain your reasoning.
10. 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.
11. The measure of angle T is
.
a.
What is the measure of an angle that is
complementary to
?
b.
What is the measure of an angle that is
supplementary to
?
12. A complement of an angle measures 10 degrees
more than the measure of the angle. What is the
measure of the angle and its complement? Explain
your reasoning.
13. The supplement of an angle is three times the
measure of the angle. What is the measure of each
angle? Explain your reasoning.
Use the given information to determine the
measures of the angles in each pair.
14. The measure of the supplement of an angle is twice
the measure of the angle. What is the measure of
each angle?
15. In the figure, line x is parallel to line y and
. Determine the measure of . What
postulates or theorems justifies your answer?
116.State the Segment Addition Postulate and draw a
picture that shows you understand what it means.
17. Sketch and label each of the following geometric
figures.
a.
Adjacent complementary angles
and
b.
Two intersecting lines with vertical angles
1 and 2 and vertical angles 3 and 4
c.
Name all of the linear pairs in the figure
from part (b).
d.
Name the congruent angles and the
supplementary angles in the figure from part (b).
18.
Given:
and
are supplementary. What postulate would be used to prove that
?
20. Solve for x.
20.
21.
19.
Given:
?
what postulate will help you prove that
21. Solve for x
Write the postulate that confirms each statement.
30.
22. Angles GFH and KFH are supplementary angles.
31.
Problem Set
Write congruence statements for the pairs of
corresponding angles in each figure.
23.
32.
24.
Problem Set
Write the converse of each postulate or theorem.
33. Alternate Interior Angle Theorem:
25.
If a transversal intersects two parallel lines, then
the alternate interior angles formed are congruent.
34. Alternate Exterior Angle Theorem:
If a transversal intersects two parallel lines, then
the alternate exterior angles formed are congruent.
Problem Set
Identify the property demonstrated in each example.
Review
35.
𝑥+5
8
=
2
3
26.
36. Find the slope of
(1, -4) (2, 6)
37. Write the equation of the line that goes through
the points in #36
27.
38. Write the equation of the line perpendicular to
1
y = 3x +6 that goes through (1, 2)
39. Simplify √48
28.
29.
40. Simplify 10 +2(6x + 3x) – 10 ÷ 5
Secondary Math 2 Honors Ch 1 and 2 Test Review
Answer Section
1.
2. a.
No. Riki’s calculations are not correct. He subtracted the coordinates of each point instead of subtracting
the x-coordinates and then the y-coordinates.
b.
3.
4.
5. a.
The next number in the sequence is 29,282. Each number is 11 times greater than the previous number.
b.
I used inductive reasoning to determine the pattern of the sequence. Then I used deductive reasoning to
calculate the next term.
Madison earned $500 per week.
6. a.
7.
8.
9.
10.
11.
b.
I used inductive reasoning because I used the specific information to come to my conclusion.
Induction is reasoning that involves using specific examples to make conclusions.
Deduction is reasoning that involves using a general rule to make a conclusion.
A counterexample is a specific example that shows that a general statement is not true.
It is deductive reasoning because she has taken a general rule about lightning and applied it to this particular
situation.
Her conclusion is not correct because she was given incorrect information. It is a myth that lightning never strikes
twice in the same place.
a.
The measure of an angle that is complementary to
is
.
b.
The measure of an angle that is supplementary to
is
.
12.
The measure of the angle is
.
The measure of the complement is
.
13.
The measure of the angle is
.
The measure of the supplement of the angle is
.
14.
The measure of the angle is
and the measure of the supplement is
.
15. Angles 1 and 5 are corresponding angles. By the Corresponding Angle Postulate,
Angles 5 and 8 are vertical angles. By the Vertical Angle Theorem,
.
Because
, the measure of
is also
.
16. If point B is on
and between points A and C, then
.
17. a.
b.
c.
The linear pairs are
and
,
and
,
and
, and
and
d.
Angle pairs
and , and
and
are congruent.
Angle pairs 1 and 3, 1 and 4, 2 and 3, and 2 and 4 are supplementary.
.
.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38
39.
40.
Same Side interior converse Theorem
Alternate interior Angle Converse Theorem
Linear Pair Postulate
Segment Addition Postulate
Angle Addition Postulate
Linear Pair Postulate
Subtraction Property of Equality
Addition Property of Equality
Reflexive Property
Transitive Property
Substitution Property
Substitution Property
If alternate interior angles formed by two lines and a transversal are congruent, then the two lines are parallel.
If alternate exterior angles formed by two lines and a transversal are congruent, then the two lines are parallel.
31
x=
3
m = 10
y = 10x -14
y = -3x +5
4√3
18x +8