Proofs & Reasoning Flashcards
7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 7 Proofs & Reasoning flashcards as text
Which type of reasoning moves from specific observations to a general conclusion?
Answer: Inductive reasoning
Inductive reasoning forms a general conjecture based on specific observed patterns.
A conditional statement has the form 'If p, then q.' What is p called?
Answer: Hypothesis
In 'if p, then q,' p is the hypothesis and q is the conclusion.
What is the converse of 'If it is a square, then it is a rectangle'?
Answer: If it is a rectangle, then it is a square
The converse swaps the hypothesis and conclusion of a conditional statement.
Which property justifies the statement 'If AB = CD and CD = EF, then AB = EF'?
Answer: Transitive property
The transitive property states that if a = b and b = c, then a = c.
A statement that has been proven true and can be used to prove other statements is called a:
Answer: Theorem
A theorem is a statement that has been proven using logic and previous results.
What is a single example that proves a conjecture false called?
Answer: Counterexample
A counterexample is one case where the conjecture fails, disproving it.
The reflexive property of congruence states that a segment is congruent to:
Answer: Itself
The reflexive property says any figure or segment is congruent to itself.