Conditional Statements, Inductive/Deductive Reasoning- Geometry

Identify the hypothesis and conclusion of the following conditional Statement (Mark 2 Answers)

If two angles are supplementary, then the sum of the measures of the angles is 180.

• Hypothesis: Two angles are supplementary

• Conclusion: the sum of the measures of the angles is 180.

• Conclusion: Two angles are supplementary

• Hypothesis: the sum of the measures of the angles is 180.

Determine the truth value of the conditional statement

If two angles are congruent, then they are vertical angles.

• True

• False

Determine whether each conclusion is based on inductive or deductive reasoning.

Students at Olivia's high school must have a B average in order to participate in sports. Olivia has a B average, so she concludes that she can participate in sports at school

• Deductive Reasoning

• Inductive Reasoning

Determine whether each conclusion is based on inductive or deductive reasoning.

Holly notices that every Saturday, her neighbor mows his lawn. Today is Saturday. Holly concludes her neighbor will mow his lawn.

• Inductive Reasoning

• Deductive Reasoning

Using the Law of Detachment, determine whether the stated conclusion is valid or invalid based on the given information.

Given: Right Angles are Congruent.

Info: <1 and <2 are right angles.

Conclusion: <1is congruent to <2

• Valid

• Invalid

Using the Law of Syllogism, determine if a valid conclusion is possible

If  triangle is a right triangle, then it has an angle that measures 90. If a triangle has an angle that measures 90, then its acute angles are complementary. 

• Yes, A Valid Conclusion is Possible.

• No Valid Conclusion