Geometry Online Review

Chapter 2

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What period do you have Geometry?

 

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

 

 
 
1.
2.
3.

 

 

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,