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 statement is true about the diagram?

Revolt · Accepted Answer

K is the midpoint of AB.

Question 10

Which statement is true about the given information?

Revolt · Accepted Answer

BD ≅ CE

Introduction to Proof Answers

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