Proofs Involving the Angle Addition Postulate

What is the measure of angle 8 as given in the proof?

• 90°

• 45°

• 30°

• 60°

What is the measure of angle 9 as given in the proof?

• 60°

• 45°

• 30°

• 90°

What is the reason for the first statement in the proof?

• It is derived

• It is given

• It is assumed

• It is calculated

What is the reason for the second statement in the proof?

• It is derived

• It is assumed

• It is given

• It is calculated

Which of the following is NOT one of the key questions asked in the proof?

• Is there a key word?

• Is anything the same?

• Is there a diagram?

• Is there a theorem?

What postulate is used to combine the measures of angles 8 and 9?

• Angle Division Postulate

• Angle Addition Postulate

• Angle Multiplication Postulate

• Angle Subtraction Postulate

What property is used to replace the measure of angle 8 with 30° in the equation?

• Transitive Property

• Symmetric Property

• Reflexive Property

• Substitution Property

What is the measure of angle CPY according to the proof?

• 60°

• 90°

• 120°

• 150°

What is the final simplified measure of angle CPY?

• 150°

• 60°

• 90°

• 120°

Why is it important to list each step in a proof separately?

• To confuse the reader

• To skip important details

• To ensure clarity and conciseness

• To make the proof longer