Download Chapter 2 Test

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Chapter 2 Test
1. Compare and contrast these ideas:
a) Defined and Undefined terms
b) Axioms(Postulates) and Theorems
2. Write the converse of the statement If two angles are supplementary and congruent, then they are right angles.
3. Name the three undefined terms in Geometry. Why do we need undefined terms?
4. Write the converse of the statement, If two lines are perpendicular to the same line, then they are parallel.
Use the statement If a ray bisects an angle then it divides the angle into two congruent angles and the given choices.
5. Which choice is the inverse of the given statement?
a. If a ray divides an angle into two congruent angles, then it bisects the angle.
b. A ray bisects an angle if and only if it divides it into two congruent angles.
c. If a ray does not bisect an angle, then it does not divide the angle into two congruent angles.
d. If a ray does not divide an angle into two congruent angles, then it does not bisect the angle.
6. Write the inverse of the statement If two lines are parallel to a third line, then they are parallel to each other.
Use the statement If a ray bisects an angle then it divides the angle into two congruent angles and the given choices.
7. Which choice is the contrapositive of the given statement?
a. If a ray divides an angle into two congruent angles, then it bisects the angle.
b. A ray bisects an angle if and only if it divides it into two congruent angles.
c. If a ray does not bisect an angle, then it does not divide the angle into two congruent angles.
d. If a ray does not divide an angle into two congruent angles, then it does not bisect the angle.
8. Combine the following statements into a biconditional statement.
If I am outside in the morning, then the bus will stop at my house.
If the bus stops at my house, then I am outside in the morning.
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Name:
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Chapter 2 Test
9. Give the counterexample and instance to the following statement: If an animal is a reptile, then it is an
alligator.
10. Draw the counterexample and instance to the following statement: If triangle ABC is acute, all of the sides
are equal.
11. Draw the counterexample and instance to the following statement: If AC = AB, then A is the midpoint to
segment BC.
12. Draw a counterexample and instance to the following statement: If AM is a segment in triangle ABC that
connects A to the midpoint of BC, then AM is perpendicular to BC.
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