Introduction to Proof

Question 1

AEB AEC BEC BED

Revolt · Accepted Answer

AEC

Question 2

angle addition postulate reflexive property segment addition property symmetric property

Revolt · Accepted Answer

angle addition postulate

Question 3

definition of congruent definition of bisect given reflexive property

Revolt · Accepted Answer

given; A:: given; B:: definition of congruent; C:: definition of bisect

Question 4

Complete the paragraph proof.

Revolt · Accepted Answer

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 5

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 6

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 7

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 8

Which property is shown?If m∠ABC = m∠CBD, then m∠CBD = m∠ABC

Revolt · Accepted Answer

symmetric property

Introduction to Proof Answers

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