Geometric Proofs and Segment Relationships Quiz

What is the segment addition postulate used for?

• To subtract lengths of segments

• To add lengths of segments to find a total length

• To prove angles are congruent

• To find the midpoint of a segment

What should be the first step in writing a geometric proof?

• Mark the diagram

• Draw a new diagram

• Assume the conclusion

• Write the given information

In a basic proof, if JK is congruent to SH and SH is congruent to MN, what can be concluded?

• JK is longer than MN

• SH is not congruent to MN

• JK is not congruent to MN

• JK is congruent to MN

What property is used when JK is congruent to SH and SH is congruent to MN to conclude JK is congruent to MN?

• Transitive Property

• Addition Property

• Reflexive Property

• Symmetric Property

In a segment addition proof, if CE is congruent to FE and EG is congruent to DE, what can be concluded about the segments CE + ED and FE + EG?

• They are not equal

• FE + EG is longer

• CE + ED is longer

• They are equal

What is the reason for adding the left sides and right sides of congruent segments in a proof?

• Subtraction

• Multiplication

• Addition

• Division

In a segment subtraction proof, what is the common segment that is subtracted from both sides?

• The common segment

• The shortest segment

• The midpoint

• The longest segment

What is the purpose of marking diagrams in geometric proofs?

• To add unnecessary details

• To confuse the reader

• To help visualize relationships

• To make them look colorful

What theorem is used when a midpoint divides a segment into two congruent parts?

• Pythagorean Theorem

• Angle Bisector Theorem

• Midpoint Theorem

• Segment Addition Postulate

In a segment subtraction proof, if JL is congruent to KM and KL is common, what is the result after subtraction?

• JK is congruent to LM

• JL is longer than KM

• KM is longer than LM

• KL is longer than JK