Part 1 Review for Semester Exam
Name _______________________
Chapter 1
1.
Use the diagram at the right for Exercises 2–4. Note that in this diagram ST intersects the
plane at T. The point S is not contained in plane Z.
2. What is another name for plane Z?
3. Name two opposite rays in the diagram.
4. Where would the plane STL intersect plane Z?
Use the diagram at the right for Exercises 5-7.
5. What is the intersection of the two planes?
6. What plane contains points W, X, and Y?
7. Are points T, Z, W, and U coplanar or non-coplanar?
8.
bisects ABC so that mABD = 2y and mDBC = 5y  12. What is mABC?
9. WXY and YXZ are a linear pair. If mWXY = 8x + 12 and mYXZ = 2x + 28. What is
mYXZ?
10. QR has endpoints Q(9, 2) and R(3, 5). What are the coordinates of its midpoint X?
11. The midpoint of GH is (4, 7). One endpoint is H(12, 3). What are the coordinates of endpoint G?
12. What is the exact distance between points D(32, 4) and E(20, 8)?
13. Algebra Points A, B, and C are collinear with B between A and C. AB = 4x − 1, BC = 2x + 1, and
AC = 8x − 4. Find AB, BC, and AC.
14. XYZ and XYW are complementary angles. mXYZ = 3x + 9 and mXYW = 5x + 9.
Find mXYZ and mXYW.
15.
bisects RST. mQST = 2x + 18 and mRST = 6x − 2. What is mRSQ?
16. If the perimeter of a square is 52 inches, what is its area?
17. Find the circumference and area of circle G in terms of .
18. Find the actual distance between Blakeville and Newton if
each unit on the graph represents 10 miles.
Chapter 2
Write the conditional and the converse that form the biconditional. Tell whether each statement is
true or false. Write a counterexample if either is false.
19. Lines m and n are skew if and only if lines m and n do not intersect.
Conditional
Converse
Underline the hypothesis once and the conclusion twice.
20. Dan needs glasses, if he is nearsighted.
21. What is the statement of the Law of Detachment?
22. What is the statement of the Law of Syllogism?
Name the property of equality or congruence that justifies going from the first statement
to the second statement.
23. M

N
N

M
25. PQ  RS and RS  TU
24. 3x = 24
PQ  TU
x=8
Apply the Law of Detachment, the Law of Syllogism, or both to draw a conclusion.
26. The soccer team will have practice, if it does not rain, If the soccer team has practice, the team members will
warm up by jogging two miles. It did not rain on Wednesday.
Fill in the reason that justifies each step.
27. Given: mABC = 80
mABD + mDBC = mABC
Angle Addition Postulate
(3x + 3) + (6x + 5) = 80
Substitution Property
9x + 8 = 80
a.
9x = 72
b.
x=8
c.
28. Does each of the following statements have the same truth value as its converse?
A If x = 4, then x2 = 16. B If x3 = -27, then x = -3. C If x = 4, then 2x = 8. D If x = 14, then lxl = 14.