Introduction to Proof

Question 1

4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.

Revolt · Accepted Answer

∠ABD ≅ ∠CBE

Question 2

4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to point B, and another line goes to point C. Angles B E C and B E A are congruent.

Revolt · Accepted Answer

∠BEA ≅ ∠BEC

Question 3

Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?

Revolt · Accepted Answer

AK + BK = AC

Question 4

4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.

Revolt · Accepted Answer

m∠CEB = 45°

Question 5

A two-column proof

Revolt · Accepted Answer

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

Question 6

Segment AB is congruent to segment AB.

Revolt · Accepted Answer

reflexive

Question 7

A paragraph proof

Revolt · Accepted Answer

contains a set of sentences explaining the steps needed to reach a conclusion.

Question 8

A horizontal line has points D, B, C. A line extends vertically from point B to point A.

Revolt · Accepted Answer

m∠ABD = m∠ABC

Question 9

Which are correct statements regarding proofs? Select three options.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 flowchart proof gives a visual representation of the sequence of steps without justifications.A flowchart proof is a visual way of describing the statements and reasons for a proof.A two-column proof lists only the given information and what is to be proven.

Revolt · Accepted Answer

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 flowchart proof is a visual way of describing the statements and reasons for a proof.

Question 10

Which statement is true about the diagram?

Revolt · Accepted Answer

K is the midpoint of AB.

Introduction to Proof Answers

More from this Course

TRY EDGENUITY HACKS