1. 1. Q is in the interior of ROS.
S is in the interior of QOP.
P is in the interior of SOT.
mROT = 160, mSOT = 100, and mQOS = mSOP = mPOT.
Make a sketch and answer the following.
a. Find mSOP b. Find mQOR

2. 2. Translate the statement to “if→then” form.
A beagle is always a reminder of Snoopy.

3. State the hypothesis and conclusion of the conditional,
then write the statement’s converse.
If you flip the switch, then the light will come on.

4. Describe a counter-example that could demonstrate
the given statement is false.
If you cheat on the exam, then you will pass.

5. 5. Write the statement in biconditional form “if and only if”
The sum of the measures of complementary angles is 90
degrees.

6. 6. Complete the argument by filling the missing portion
of each conditional statement using the surrounding
statements.
Theorem: If the moon were made of green cheese,
then it would be one giant peep for mousekind.
If the moon were made of green cheese, ___________________________________.
If mice were eager astronauts, sooner or later NASA would send some on a lunar mission.
________________________________, the eyes of the entire world would be watching them on television.
_______________________________________, it would be one giant peep for mouse kind.

7. In each of the following proofs, provide the reason that
justifies each statement in the left column.
May be anything we have learned to date.
7. Given: x + 3 = 7 – x
Prove: x = 2
Statement
Reason
1. x + 3 = 7 – x
2. 2x + 3 = 7
3. 2x = 4
4. x = 2 1. 2. 3. 4.

8. 8. Given: AB = CD
Prove: AC = BD
Statement
Reason 1. 2. 3. 4. 5. 6. A B C D
1. AB = CD
2. BC = BC
3. AB + BC = CD + BC
4. AB + BC = AC
5. BC + CD = BD
6. AC = BD

9. Statement Reason S R P Q 1. PR bisects SPQ 1. 3. mRPQ = mRPS 2.
9. Given: PR bisects SPQ
Prove: 2(mRPQ) = mSPQ
Statement
Reason 1. 2. 3. 4. 5.
1. PR bisects SPQ
3. mRPQ = mRPS
4. mRPQ + mRPS = mSPQ
5. mRPQ + mRPQ = mSPQ
6. 2(mRPQ) = mSPQ S R Q P