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1st 6 Weeks Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Find mc001-1.jpg if mc001-2.jpg is six more than three times its complement.
a.
136.5
c.
21
b.
43.5
d.
69
 

 2. 
Lines a, b, and c are coplanar. Lines a and b intersect. Line c intersects only with line b. Draw and label a figure for this relationship.
a.
mc002-1.jpg
c.
mc002-3.jpg
b.
mc002-2.jpg
d.
mc002-4.jpg
 

 3. 
Identify the hypothesis and conclusion of this conditional statement:
If two lines intersect at right angles, then the two lines are perpendicular.
a.
Hypothesis: The two lines are perpendicular. Conclusion: Two lines intersect at right angles.
b.
Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are perpendicular.
c.
Hypothesis: The two lines are not perpendicular. Conclusion: Two lines intersect at right angles.
d.
Hypothesis: Two lines intersect at right angles. Conclusion: The two lines are not perpendicular.
 
 
Write the converse of the conditional statement. Determine whether the converse is true or false. If it is false, find a counterexample.
 

 4. 
If you have a dog, then you are a pet owner.
a.
If you are a pet owner, then you have a dog. True
b.
A dog owner owns a pet. True
c.
If you are a pet owner, then you have a dog. False; you could own a hamster.
d.
If you have a dog, then you are a pet owner. True
 
 
Find the area of the figure.
 

 5. 
mc005-1.jpg
a.
7.13 mc005-3.jpg
c.
71.3 mc005-5.jpg
b.
5.4 mc005-4.jpg
d.
10.8 mc005-6.jpg
 
 
Make a conjecture about the next item in the sequence.
 

 6. 
mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 
 
Find the surface area of the solid.
 

 7. 
mc007-1.jpg
a.
mc007-3.jpg
c.
mc007-5.jpg
b.
mc007-4.jpg
d.
mc007-6.jpg
 
 
Refer to Figure 1.
nar005-1.jpg
Figure 1
 

 8. 
What is another name for line n?
a.
line JB
c.
mc008-3.jpg
b.
mc008-2.jpg
d.
AC
 

 9. 
Name a line that contains point J.
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 
What is the converse and the truth value of the converse of the following conditional?
If an angle is a right angle, then its measure is 90.
a.
If an angle is not a right angle, then its measure is 90.
False
b.
If an angle is not a right angle, then its measure is not 90.
True
c.
If an angle has measure 90, then it is a right angle.
False
d.
If an angle has measure 90, then it is a right angle.
True
 
 
In the figure below, points A, B, C, and F lie on plane P. State the postulate that can be used to show each statement is true.
nar004-1.jpg
 

 11. 
A and B are collinear.
a.
If two points lie in a plane¸ then the entire line containing those points lies in that plane.
b.
Through any two points there is exactly one line.
c.
If two lines intersect¸ then their intersection is exactly one point.
d.
A line contains at least two points.
 
 
Use the Distance Formula to find the distance between each pair of points.
 

 12. 
mc012-1.jpg
a.
mc012-3.jpg
c.
6
b.
mc012-4.jpg
d.
4
 

 13. 
Which statement is the Law of Detachment?
a.
If mc013-1.jpg is a true statement and q is true, then p is true.
b.
If mc013-2.jpg is a true statement and q is true, then mc013-3.jpg is true.
c.
If mc013-4.jpg and mc013-5.jpg are true, then mc013-6.jpg is a true statement.
d.
If mc013-7.jpg is a true statement and p is true, then q is true.
 

 14. 
What is 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.
a.
The number is odd.
b.
The sum of the digits of the number is divisible by 3.
c.
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
d.
The number is divisible by 3.
 
 
Find the coordinates of the midpoint of a segment having the given endpoints.
 

 15. 
mc015-1.jpg
a.
mc015-4.jpg
c.
mc015-6.jpg
b.
mc015-5.jpg
d.
mc015-7.jpg
 
 
Find the length of each side of the polygon for the given perimeter.
 

 16. 
mc016-1.jpg units. Find the length of each side.
mc016-2.jpg
a.
9 units, 36 units, 4 units, 23 units
b.
8 units, 33 units, 4 units, 21 units
c.
9 units, 35 units, 5 units, 23 units
d.
10 units, 34 units, 6 units, 22 units
 
 
Find the volume of the solid.
 

 17. 
mc017-1.jpg
a.
30 mc017-3.jpg
c.
84 mc017-5.jpg
b.
72 mc017-4.jpg
d.
36 mc017-6.jpg
 

 18. 
Solve the equation mc018-1.jpg. Write a justification for each step.
mc018-2.jpg
mc018-3.jpgGiven equation
mc018-4.jpg
mc018-5.jpg[1]
mc018-6.jpg
mc018-7.jpgSimplify.
mc018-8.jpg
mc018-9.jpg[2]
mc018-10.jpg
mc018-11.jpgSimplify.
a.
[1] Substitution Property of Equality;
[2] Division Property of Equality
c.
[1] Division Property of Equality;
[2] Subtraction Property of Equality
b.
[1] Addition Property of Equality;
[2] Division Property of Equality
d.
[1] Addition Property of Equality;
[2] Reflexive Property of Equality
 
 
Determine whether statement (3) follows from statements (1) and (2) by the Law of Detachment or the Law of Syllogism. If it does, state which law was used. If it does not, write invalid.
 

 19. 
(1) You are in ninth grade.
(2) People who are in ninth grade floss their teeth regularly.
(3) You floss your teeth regularly.
a.
yes; Law of Syllogism
b.
invalid
c.
yes; Law of Detachment
 

 20. 
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.
a.
If a number is a multiple of 64, then it is a multiple of 2.
b.
The number is a multiple of 2.
c.
The number is a multiple of 8.
d.
If a number is not a multiple of 2, then the number is not a multiple of 64.
 
 
Find the circumference of the figure.
 

 21. 
mc021-1.jpg
a.
about mc021-3.jpg
c.
about mc021-5.jpg
b.
about mc021-4.jpg
d.
about mc021-6.jpg
 
 
In the figure, nar009-1.jpg bisects nar009-2.jpg.
nar009-3.jpg
 

 22. 
If mc022-1.jpg and mc022-2.jpg, find x.
a.
33
c.
11
b.
58
d.
29
 

 23. 
Write this statement as a conditional in if-then form:
All triangles have three sides.
a.
If a triangle has three sides, then all triangles have three sides.
b.
If a figure has three sides, then it is not a triangle.
c.
If a figure is a triangle, then all triangles have three sides.
d.
If a figure is a triangle, then it has three sides.
 
 
Name each polygon by its number of sides. Then classify it as convex or concave and regular or irregular.
 

 24. 
mc024-1.jpg
a.
quadrilateral, convex, regular
c.
pentagon, convex, regular
b.
quadrilateral, concave, irregular
d.
quadrilateral, convex, irregular
 
 
Find the measurement of the segment.
 

 25. 
mc025-1.jpg mm, mc025-2.jpg mm
mc025-3.jpg
PS = ?
a.
32.7 mm
c.
32.5 mm
b.
5.1 mm
d.
32.4 mm
 



 
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