# GCA - Geometry A Introduction To Proof

## Unlock all answers in this set

question
Which are correct statements regarding proofs? Check all that apply.
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?
RIGHT mâˆ ABD = mâˆ ABC
question
Which statement is true about the given information?
RIGHT BD â‰… CE
question
A two-column proof
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.
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.
question
What is the missing justification? transitive property reflexive property symmetric property substitution property
RIGHT transitive property
question
Given that âˆ CEA is a right angle and EB bisects âˆ CEA, which statement must be true?