Download fr review unit 2 test 2014

Review for Unit 2 Test - Reasoning and Logic
Attach your work on graph paper to this page.
1.
What are the next 3 terms of the sequence?
6, 15, 24, 33, . . .
2.
What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 2 is also
divisible by 4.
3.
Identify the hypothesis and conclusion of this conditional
statement:
If tomorrow is Monday, then yesterday was Saturday.
4.
Write this statement as a conditional in if-then form:
All dogs are mammals.
5.
Which statement is a counterexample for the following
conditional?
If you live in Cottonwood, then you live in Arizona.
a. Mrs. Chilton lives in Cottonwood.
b. Ms. Parcell lives in Sedona, Arizona.
c. Mr. Mitchell lives in Cottonwood, Arizona.
d. Mrs. Smith lives in Cottonwood, Utah
6.
7.
8.
Which conditional has the same truth value as its converse?
a. If an angle has a measure of 160, then it is obtuse.
b. If x = 4, then x2 – 16 = 0.
c. If a figure is a quadrilateral, then it has four sides.
d. If x = 4, then
.
For the following true conditional statement, write the
converse. If the converse is also true, combine the
statements as a biconditional. If either is false, write a
counterexample.
If x = 5, then x2 = 25.
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
9.
Name _________________________ Per____Seat# ____
12.
bisects
=
= 9x.
. Find
13. Name the Property of Equality that justifies:
If g = h, then
.
14. Transitive Property of Congruence
If
______.
15. Addition Property of Equality
If
, then ______.
16. Substitution Property of Equality
If
, then ______.
Drawing not to scale
(3x –10)º
17. What is the value of x?
119 º
18. Find the values of x and y.
5y°
3x – 8°
145°
19. Write this statement as a conditional in
Drawing not to scale
If-then form:
All points in the first quadrant have positive coordinates.
20. Use the Law of Detachment and the Law of Syllogism to
draw a conclusion from the three given statements.
If an elephant weighs more than 2000 pounds, then it
weighs more than Jill’s car.
If something weighs more than Jill’s car, then it is too
heavy for the bridge.
Smiley the elephant weighs 2150 pounds.
are complementary.
Use the Law of Detachment to draw a conclusion from the
two given statements. If no conclusion is possible, write no
conclusion.
If the weather is stormy, then driving is difficult.
Driving is difficult.
21. Complete the two-column proof.
Given:
Prove:
10. Use the Law of Syllogism to draw a conclusion from the
two given statements.
If two lines intersect and form right angles, then the lines
are perpendicular.
If two lines are perpendicular, then they intersect and form
90° angles.
11. Use the Law of Detachment and the Law of Syllogism
to draw a conclusion from the three given statements.
If a triangle has three angles with the same measure,
then it is equiangular.
If a triangle is equiangular, then it is equilateral.
Triangle RST has three angles with the same measure.
22. Given:
5x
, solve for x.
2x + 7
Drawing not to scale
Quadrilaterals
23. Write the conditional statement that the
Venn diagram illustrates.
Squares
*Also review perimeter, area, and angle pairs (from Ch 1)
Review for Unit 2 Test Reasoning and Logic
Answer Section
1. 42, 51, 60
2. 32
3. Hypothesis: Tomorrow is Monday.
Conclusion: Yesterday was Saturday.
4. If an animal is a dog, then it is a mammal.
5. D
6. C
7. If x2 = 25, then x = 5.
8.
False; -5
+
= 90
9. No conclusion
10. If two lines intersect and form right angles,
then they intersect and form 90° angles.
11. Triangle RST is equilateral.
12. 261
13. Addition Property
14.
15.
16.
17. X = 43
18. x = 51, y = 7
19. If a point is in the first quadrant, then its coordinates are positive.
20. Smiley is too heavy for the bridge.
21.
a. Given
b. Substitution Pro.
c. Subtraction Prop.
d. Division Prop.
e. Symmetric Prop.
22. x = 3
23. If a figure is a square, then it is a quadrilateral.