Download Review Chapter 2 Test - Geometry A

Review Chapter 2 Test - Geometry A
Short Answer
1. Based on the pattern, make a conjecture about the sum of the first 30 positive even numbers.
2
=
2 =
2+4
=
6 =
2+4+6
= 12 =
2+4+6+8
= 20 =
2 + 4 + 6 + 8 + 10
= 30 =
2. Alfred is practicing typing. The first time he tested himself, he could type 42 words per minute. After
practicing for a week, he could type 46 words per minute. After two weeks he could type 50 words per
minute. Based on this pattern, predict how fast Alfred will be able to type after 4 weeks of practice.
3. Are points C, G, and H collinear or noncollinear?
4. Name a fourth point in plane ZWU.
5. Underline the hypothesis and circle the conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
6. Circle the conclusion of the following conditional.
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
7. What is the converse of the following conditional?
If a number is divisible by 10, then it is divisible by 5.
8. For the following true conditional statement, write the converse. If the converse is also true, combine the
statements as a biconditional.
If x = 8, then x2 = 64.
9. Use the Law of Detachment to draw a conclusion from the two given statements.
If two angles are complementary, then the sum of their measures is 90°.
and
are complementary.
10. Use the Law of Syllogism to draw a conclusion from the two given statements.
If a number is a multiple of 64,then it is a multiple of 8.
If a number is a multiple of 8, then it is a multiple of 2.
Fill in each missing reason.
,
11. Given:
Find x.
P
, and
.
R
Q
S
Drawing not to scale
x + 3 + x + 7 = 100
2x + 10 = 100
2x = 90
x = 45
a. _____
b. Substitution Property
c. Simplify
d. _____
e. Division Property of Equality
12. Given:
Prove:
13. Given:
14. Given:
15. Name the Property of Equality that justifies the statement:
If r = s, then
.
16. Name the Property of Congruence that justifies the statement:
.
If
17. Name the Property of Congruence that justifies the statement:
.
If
Use the given property to complete the statement.
18. Transitive Property of Congruence
______.
If
19. Substitution Property of Equality
, then ______.
If
20.
bisects
= 9x.
=
. Find
21. Find the value of x.
(8x – 8)°
(7x + 7)°
Drawing not to scale
22.
Find
1
4
2
3
Drawing not to scale
23. Find the values of x and y.
24. Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample.
If x = 3, then x2 = 9.
25. Solve for x. Justify each step.
Review Chapter 2 Test - Geometry A
Answer Section
SHORT ANSWER
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The sum is
.
58 words per minute
noncollinear
T
Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular.
The number is divisible by 3.
If a number is divisible by 5, then it is divisible by 10.
If x2 = 64, then x = 8. False
+
= 90
If a number is a multiple of 64, then it is a multiple of 2.
Angle Addition Postulate; Subtraction Property of Equality
a. Given
b. Substitution Property
c. Subtraction Property of Equality
d. Division Property of Equality
e. Symmetric Property of Equality
a. Angle Addition Postulate
b. Substitution Property
c. Distributive Property
d. Simplify
e. Addition Property of Equality
f. Division Property of Equality
a. Segment Addition Postulate
b. Substitution
c. Simplify
d. Subtraction Property of Equality
e. Division Property of Equality
Multiplication Property
Symmetric Property
Transitive Property
108
–15
60
x = 33, y = 10
If x2 = 9, then x = 3. False; if x2 = 9, then x can be equal to –3.
Given
Addition Property of Equality
Simplify
Division Property of Equality
x = 48
Simplify