Introduction to Proof

Question 1

Name the three different types of proofs you saw in this lesson. Give a description of each.

Revolt · Accepted Answer

The three types of proofs are two-column proofs, paragraph proofs, and flowchart proofs. A two-column proof organizes statements and reasons into two columns. A paragraph proof describes the logical steps and reasons using sentences in a paragraph. A flowchart proof uses boxes and arrows to visually represent the progression of steps and logical flow.

Question 2

Which property is shown?If m∠ABC = m∠CBD, then m∠CBD = m∠ABC reflexive propertysubstitution propertysymmetric propertytransitive property

Revolt · Accepted Answer

C: symmetric property

Question 3

What statements are true regarding the given statement and diagram?

Revolt · Accepted Answer

A: ∠CED is a right angle.; B: ∠CEA is a right angle.; D: m∠CEB = m∠BEA; E: m∠DEB = 135°

Question 4

Identify the missing parts in the proof.

Revolt · Accepted Answer

A:: given; B:: measure of angle ABC = 90; C:: angle addition postulate; D:: 2 times the measure of angle CBD = 90

Question 5

Sample Response: One type of proof is a two-column proof. It contains statements and reasons in columns. Another type is a paragraph proof, in which statements and reasons are written in words. A third type is a flowchart proof, which uses a diagram to show the steps of a proof. What did you include in your response? Check all that apply.Two-column proofs are in columns and list statements and reasons.Paragraph proofs use words.Flowchart proofs give a visual representation of the progression of

Revolt · Accepted Answer

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Question 6

✔ measure of angle ABC = 90measure of angle ABC = 180measure of angle ABD = 90 measure of angle CBD = 180

Revolt · Accepted Answer

A: ✔ measure of angle ABC = 90

Question 7

addition✔ angle addition postulate definition of right anglesubstitution property

Revolt · Accepted Answer

B: ✔ angle addition postulate

Question 8

angle ABC = 90 angle ABD = 90 2 times the measure of angle ABC = 90 ✔ 2 times the measure of angle CBD = 90

Revolt · Accepted Answer

D: ✔ 2 times the measure of angle CBD = 90

Question 9

A:

Revolt · Accepted Answer

C: given

Question 10

✔ definition of congruent definition of bisect given reflexive property

Revolt · Accepted Answer

A: ✔ definition of congruent

Introduction to Proof Answers

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