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
A proof that assumes the opposite of what is to be proven and reaches a contradiction is called:
Answer: Indirect proof
An indirect proof (proof by contradiction) assumes the negation and derives a contradiction.
Which property allows you to replace one quantity with an equal quantity in an equation?
Answer: Substitution property
The substitution property lets equal values replace each other in expressions.
The midpoint of a segment divides it into two segments that are:
Answer: Congruent
By definition, a midpoint creates two congruent segments.
An angle bisector divides an angle into two angles that are:
Answer: Congruent
An angle bisector splits an angle into two congruent angles.
A statement that follows directly and easily from a proven theorem is called a:
Answer: Corollary
A corollary is a result that follows readily from a previously proven theorem.
If two angles are complementary, the sum of their measures is:
Answer: 90 degrees
Complementary angles have measures that add to 90 degrees.
In logic, a statement and its contrapositive are always:
Answer: Logically equivalent
A conditional and its contrapositive always share the same truth value.