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FREE MATH AND STUDY GAMES ABOUT

Class notes Jan 11, 2026
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FREE MATH AND STUDY GAMES ABOUT

GEOMETRY-CHAPTER 2 EXAM QUESTIONS

Actual Qs and Ans Expert-Verified Explanation

This Exam contains:

-Guarantee passing score -25 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation

Question 1: the opposite of a statement

Answer:

negation Question 2: the equivalent statement formed by negating the hypothesis and conclusion of the converse of a conditional statement

Answer:

contrapositive

Question 3: a logical argument that shows a statement is true

Answer:

proof Question 4: the form of a conditional statement that uses the words "if" and "then". The "if" part contains the hypothesis and the "then" part contains the conclusion.

Answer:

if-then form

Question 5: A mathematical sentence formed by placing the symbol "=" between two expressions.

Answer:

equation

Question 6: a process that includes looking for patterns and making conjectures

Answer:

inductive reasoning Question 7: a process that uses facts, definitions, accepted properties, and the laws of logic to form a logical argument

Answer:

deductive reasoning Question 8: the statement formed by exchanging the hypothesis and conclusion of a conditional statement

Answer:

converse

Question 9: A rule or statement that is accepted as true without proof.

Answer:

postulate

Question 10: Equations that have the same solutions.

Answer:

equivalent equations

Question 11: Two angles whose sides form two pairs of opposite rays.

Answer:

vertical angles

Question 12: Two angles whose measures have the sum of 90°.

Answer:

complementary angles

Question 13: an unproven statement that is based on observations

Answer:

conjecture

Question 14: a statement that can be proven

Answer:

theorem

Question 15: a specific case that shows a conjecture is false

Answer:

counterexample Question 16: If the hypothesis of a conditional statement is true, then the conclusion is also true.

Answer:

Law of Detachment

Question 17: Two adjacent angles whose non-common sides are opposite rays.

Answer:

linear pair Question 18: the statement formed by negating the hypothesis and conclusion of a conditional statement

Answer:

inverse Question 19: a type of proof written as numbered statements and corresponding reasons that show an argument in a logical order

Answer:

two-column proof Question 20: This law of logic allows you to draw conclusions from two conditional statements when the conclusion of one is the hypothesis of the other.

Answer:

Law of Syllogism

Question 21: a statement that contains the phrase "if and only if"

Answer:

biconditional statement

Question 22: Two angles whose measures have the sum of 180°.

Answer:

supplementary angles

Question 23: two statements that are both true or both false

Answer:

equivalent statement

Question 24: two lines that intersect to form a right angle

Answer:

perpendicular lines Question 25: a type of logical statement that has two parts, a hypothesis and a conclusion

Answer:

conditional statement

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