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

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 cuts the angle measure in half. m∠AEB is 45°.

Revolt · Accepted Answer

AEC

Question 3

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 cuts the angle measure in half. m∠AEB is 45°.

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

A:

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

Introduction to Proof Answers

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