Geometry Proofs: Mastering Two-Column Techniques

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What is given in the proof discussed in the video?

• Angle 1 is congruent to angle 3

• Raby X bisects angle ABC

• Angle 2 is congruent to angle 3

• Angle 1 is congruent to angle 2

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CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

According to the definition of an angle bisector, if Raby X bisects angle ABC, which angles are congruent?

• Angle 1 and angle 3

• Angle 1 and angle 4

• Angle 2 and angle 3

• Angle 1 and angle 2

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CCSS.HSG.CO.C.9

Why are angle 2 and angle 3 congruent?

• Because they are adjacent angles

• Because they are complementary angles

• Because they are vertical angles

• Because they are supplementary angles

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CCSS.HSG.CO.C.9

What property allows us to conclude that angle 1 is congruent to angle 3?

• Reflexive property

• Symmetric property

• Transitive property

• Substitution property

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CCSS.HSG.CO.C.9

How does the transitive property work in this proof?

• It substitutes angle 3 for angle 2 to show angle 1 is congruent to angle 3

• It shows that angle 1 is equal to angle 2

• It substitutes angle 1 for angle 2 to show angle 1 is congruent to angle 3

• It shows that angle 2 is equal to angle 3

Tags

CCSS.HSG.CO.C.9