Geometry: Beginning Proofs (Level 3 of 3)

The video tutorial covers the use of theorems in geometry proofs, starting with an introduction to the right angle and straight angle theorems. It demonstrates how to prove that two right angles are congruent using a two-column proof. The tutorial also explains the role of assumptions in diagrams for proving congruence of straight angles. Finally, it illustrates the use of real numbers and operations in geometry proofs, concluding with a proof involving angle measurements and the right angle theorem.

What is the primary purpose of a theorem in geometry?

• To provide unnecessary information

• To confuse students

• To shorten the work in a proof

• To make proofs more complex

In a two-column proof, what is the reason for stating that angle A is a right angle?

• It is assumed

• It is given

• It is calculated

• It is guessed

What theorem is used to conclude that two right angles are congruent?

• Congruent angle theorem

• Right angle theorem

• Straight angle theorem

• Parallel line theorem

When proving that angle EFG is congruent to angle HFJ, what assumption is made about the diagram?

• The angles are acute

• The angles are straight angles

• The angles are obtuse

• The angles are right angles

What is the reason for assuming angle EFG is a straight angle?

• It is guessed

• It is assumed from the diagram

• It is calculated

• It is given

How do you prove that angle RSV is congruent to angle X?

• By using the straight angle theorem

• By using the parallel line theorem

• By using the right angle theorem

• By using the congruent angle theorem

What is the measure of angle RSV if angle RST is 50 degrees and angle TSV is 40 degrees?

• 80 degrees

• 90 degrees

• 70 degrees

• 100 degrees