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 reasoning uses accepted facts and logic to reach a guaranteed conclusion?
Answer: Deductive reasoning
Deductive reasoning applies general rules to reach a certain, logically valid conclusion.
The inverse of 'If p, then q' is written as:
Answer: If not p, then not q
The inverse negates both the hypothesis and conclusion without swapping them.
Which property of equality is used to justify 'If x = 5, then x + 3 = 8'?
Answer: Addition property of equality
Adding the same number to both sides is the addition property of equality.
Two lines that intersect to form right angles are said to be:
Answer: Perpendicular
Perpendicular lines meet at 90-degree angles.
A biconditional statement is true only when:
Answer: Both the conditional and its converse are true
A biconditional ('if and only if') holds when both directions of the statement are true.
In a flowchart proof, arrows are used to show:
Answer: The logical flow from one statement to the next
Arrows in a flowchart proof connect statements to show how each leads to the next.
Which of the following can disprove a general conjecture?
Answer: A single counterexample
One counterexample is sufficient to show a conjecture is not always true.