Geometry Proofs & Reasoning 4

Question 1

A proof that assumes the opposite of what is to be proven and reaches a contradiction is called:

Accepted Answer

Indirect proof

Answer

An indirect proof (proof by contradiction) assumes the negation and derives a contradiction.

Question 2

Which property allows you to replace one quantity with an equal quantity in an equation?

Accepted Answer

Substitution property

Answer

The substitution property lets equal values replace each other in expressions.

Question 3

The midpoint of a segment divides it into two segments that are:

Accepted Answer

Congruent

Answer

By definition, a midpoint creates two congruent segments.

Question 4

An angle bisector divides an angle into two angles that are:

Accepted Answer

Congruent

Answer

An angle bisector splits an angle into two congruent angles.

Question 5

A statement that follows directly and easily from a proven theorem is called a:

Accepted Answer

Corollary

Answer

A corollary is a result that follows readily from a previously proven theorem.

Geometry Practice Test