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 âˆ DBC, which statement must be true?

answer

RIGHT mâˆ ABD = mâˆ 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: mâˆ AEB = 45Â°
âˆ AEC is a right angle.
Prove: EB bisects âˆ AEC.
Proof:
We are given that mâˆ AEB = 45Â° and âˆ AEC is a right angle. The measure of âˆ AEC is 90Â° by the definition of a right angle. Applying the ________________ gives mâˆ AEB + mâˆ BEC = mâˆ AEC. Applying the substitution property gives 45Â° + mâˆ BEC = 90Â°. The subtraction property can be used to find mâˆ BEC = 45Â°, so âˆ BEC â‰… âˆ AEB because they have the same measure. Since EB divides âˆ 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 âˆ CEA is a right angle and EB bisects âˆ CEA, which statement must be true?

answer

RIGHT mâˆ 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 âˆ BEA â‰… âˆ BEC