Chapter 2: Geometric Reasoning Review

(2.1) The type of reasoning where a person makes conclusions based on observations and patterns is called...

• Inductive reasoning

• Deductive reasoning

• Conjecture

• Experiments

(2.1) Complete the conjecture. Think of examples to help.

The product of any two odd numbers is _____________

• even

• odd

• zero

• positive

(2.1) Used to prove that a conjecture is false.

• Counterexample

• Inductive Reasoning

• Concluding statement

• Conjecture

(2.1) Find the next term in the sequence:

A, D, G, J, _____

• L

• M

• P

• K

(2.1) Complete the conjecture. Think of examples to help.

The difference of any two odd numbers is _______

• even

• odd

• zero

• positive

(2.1) Determine if this conjecture is true. If not, give a counterexample.

Two complementary angles are both acute.

• true

• false; 25 + 35 = 60

• false; 110 + 70 = 180

• false 60 + 120 = 180

(2.1) Which of the following is a counterexample for this conditional statement:

If a vehicle has four wheels, then it is a truck.

• a scooter

• a car

• a bicyle

• a motorcyle

(2.2) Given, "If angles are congruent, then the measures of the angles are equal." Identify the inverse.

• If the measures of the angles are equal, then the angles are congruent.

• "If angles are not congruent, then the measures of the angles are not equal."

• If the measures of the angles are not equal, then the angles are not congruent.

• If the angles are not congruent, then the measure of the angles are equal.

(2.2) Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse.

• If the measures of the angles are equal, then the angles are congruent.

• "If angles are not congruent, then the measures of the angles are not equal."

• If the measures of the angles are not equal, then the angles are not congruent.

• If the angles are not congruent, then the measure of the angles are equal.

(2.2) Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.

• If angles are congruent.

• Angles are congruent.

• Then the measures of the angles are equal.

• The measures of the angles are equal.