Question: A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?

PICTURE INCLUDED!

Answer: Angle Addition Postulate

Question: A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.

Which equation best represents the information that should be in the box labeled 1?

PICTURED INCLUDED!

Answer: 4a + 4 = 20

Question: Drag a reason to each box to complete the flowchart proof.

PICTURED INCLUDED!

Answer: 1. Definition of Linear Pair of Angles

2. Definition of supplementary angle

Question: Drag an answer to each box to complete this paragraph proof.

Given: ∠PQR and ∠RQS are supplementary angles and m∠PQR=115°

Prove: ​ ∠RQS ​ is an acute angle.

PICTURED INCLUDED

Answer: 1. definition of supplementary angles.

2. 115

3. definition of acute angles

Question: Drag an answer to each box to complete this paragraph proof.

Given: Triangle PQR with m∠P=(x)° , m∠Q=(3x)° , and m∠R=(5x)° .

Prove: x = 20

Answer: 1. (x)+(3)+(5)=180

2. x = 20