Introduction to Proof

Question 1

Identify the missing parts in the proof.

Revolt · Accepted Answer

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

Question 2

AEB AEC BEC BED

Revolt · Accepted Answer

AEC

Question 3

angle addition postulate reflexive property segment addition property symmetric property

Revolt · Accepted Answer

angle addition postulate

Question 4

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

2 times the measure of angle CBD = 90

Question 5

definition of right angledefinition of congruentdefinition of equaldefinition of 90 degrees

Revolt · Accepted Answer

definition of right angle; A:: definition of right angle; B:: substitution property; C:: definition of congruent angles

Question 6

identity propertyreflexive property substitution propertysymmetric property

Revolt · Accepted Answer

substitution property

Question 7

definition of congruent angles definition of equal angles substitution property symmetric property

Revolt · Accepted Answer

definition of congruent angles

Question 8

4590180360

Revolt · Accepted Answer

90; We are given that bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the. A bisector: 90; We are given that bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the. A bisector: AEC; We are given that bisects ∠AEC. From the diagram, ∠CED is a right angle, which measures degrees. Since the measure of a straight angle is 180°, the measure of angle must also be 90° by the. A bisector: angle addition postulate

Question 9

division definition of bisects definition of right angle given

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

measure of angle ABC = 90

Introduction to Proof Answers

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