| 1. Tell if the conjecture for the following statement is true. |
Given: Points A, B and C are noncollinear.
Conjecture: Points A, B and C form a triangle. |
True
False |
| 2. Give a conjecture for the following statement. |
Given: ABCD is a square. |
Conjecture:
|
| 3. Type the converse, inverse and contrapositive of the following statement. |
If it is red, then it is not blue. |
Converse:
Inverse:
Contrapositive:
|
| 4. Type the following statement in the form of "If-Then". |
Vertical angles are congruent |
|
| 5. Give the conclusion from the following two true statements. |
Given: If two angles are supplementary, tben their measures add up
to 180 degrees.
Angle A and angle B are supplementary |
Therefore,
|
| 6. Give the conclusion from the following true statements. |
Given: If two angles form a linear pair, then they are supplementary.
If two angles are supplementary, then their measures add up to 180
degrees. |
Therefore,
|
| 7. Give the property shown in the following example. |
If AC+CD=CD+DF, then AC=DF |
|
| 8.Give the reasons in the following proof. |
| Given: 2x+4=12 |
| Prove: x=4 |
| 1. 2x+4=12 |
| 2. 2x=8 |
| 3. x=4 |
|
|
| 9. Give the given statement and the statement to be proven from the
following conditional. |
If M is the midpoint of ,
then AM=MS. |
Given:
Prove:
|
| 10. What can you conclude fromt the following statement? |
is
complementary to and
is complementary to . |
Therefore, |