Introduction to Proof — Unit test Answers

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Two lines intersecting at a right angle

form a line.

are parallel.

are perpendicular.

form a ray.

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.

They are acute.

They are congruent.

They are complementary.

They are supplementary.

Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC.

Angles that are congruent are complementary to the same angle.

Angles that are congruent are supplementary to the same angle.

All angles in a rectangle are right angles.

Complementary angles are always also congruent.

Point G lies between points F and H on .

A two-column proof

uses a visual representation of the logical flow of steps needed to reach a conclusion.

contains a table with a logical series of statements and reasons that reach a conclusion.

contains a set of sentences explaining the steps needed to reach a conclusion.

uses inductive reasoning to prove a statement.

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