question

Which are correct statements regarding proofs? Check all that apply.

answer

RIGHT
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A paragraph proof is a two-column proof in sentence form.
A flowchart proof includes a logical series of statements in boxes with connecting arrows.

question

Given that BA bisects â DBC, which statement must be true?

answer

RIGHT mâ ABD = mâ ABC

question

Which statement is true about the given information?

answer

RIGHT BD â
CE

question

A two-column proof

answer

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

question

Segment AB is congruent to segment AB.
This statement shows the ________________ property.

answer

RIGHT Reflexive

question

Given: mâ AEB = 45Â°
â AEC is a right angle.
Prove: EB bisects â AEC.
Proof:
We are given that mâ AEB = 45Â° and â AEC is a right angle. The measure of â AEC is 90Â° by the definition of a right angle. Applying the ________________ gives mâ AEB + mâ BEC = mâ AEC. Applying the substitution property gives 45Â° + mâ BEC = 90Â°. The subtraction property can be used to find mâ BEC = 45Â°, so â BEC â
â AEB because they have the same measure. Since EB divides â AEC into two congruent angles, it is the angle bisector.

answer

RIGHT Angle Addition Postulate

question

What is the missing justification?
transitive property
reflexive property
symmetric property
substitution property

answer

RIGHT transitive property

question

Given that â CEA is a right angle and EB bisects â CEA, which statement must be true?

answer

RIGHT mâ CEB = 45Â°

question

Given that RT â
WX, which statement must be true?

answer

RIGHT RT + TW = WX + TW

question

The last line of a proof represents

answer

RIGHT the conclusion.

question

Which statement is true about the diagram?

answer

RIGHT â BEA â
â BEC