3.4 Geo Parallel line proofs

Supply the first statement.

• m ll n

• < 4 = < 6

• Given

• Definition of parallel lines

Tags

CCSS.8.G.A.5

Supply the second reason.

• Linear Pair Postulate

• Alternate Interior Angles Theorem

• Vertical Angles Theorem

• Corresponding Angles Postulate

Tags

CCSS.HSG.CO.C.9

Supply the third reason.

• Vertical Angle Theorem

• Corresponding Angles Postulate

• Alternate Interior Angles Postulate

• Same Side Interior Angles Theorem

Tags

CCSS.8.G.A.5

The last statement is <4 = <6. What is the last reason

• Prove

• Definition of congruent angles

• Transitive Property

• Alternate Interior Angles Theorem

Tags

CCSS.HSG.CO.C.9

Why is ∠KJM ≌∠LMJ?

• Alternate Exterior angles are congruent

• Alternate Interior Angles are congruent

• Corresponding Angles are Congruent

• Consecutive Interior angles are supplementary

Tags

CCSS.HSG.SRT.B.5

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint
• substitution property

Tags

CCSS.HSG.CO.C.10

• Transistive

• Substitution

• Def. of Cong.

Tags

CCSS.HSG.SRT.B.5

Fill in the blanks

• A. Given
  $B.\ m\angle2+m\angle3=180\degree$
  C. Transitive
  $D.\ \angle2=\angle3$
  D. Supplementary Theorem

• A. given
  $B.\ \angle1+\angle2=180\degree$
  C. Supplementary Theorem
  $D.\ \angle2=\angle3$
  D. Suppl of same <'s

• A. Substitution
  $B.\ \angle1+\angle2=180\degree$
  C. Suppl Theorem
  $D.\ \angle2=\angle3$
  D. Suppl of same <'s

Tags

CCSS.7.G.B.5

What is the statement for step 2?

• $<c\cong<k$

• $<c\cong<p$
  

• $<p\cong<k$
  

• $<d\cong<m$
  

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.CO.B.6

Match the following statement with its reason to complete the proof

• <1 congruent to <3

• Given 

• <1 congruent to <2

• Vertical Angles Theorem

• m is parallel to n

• Transitive Property

• <2 congruent to <3

• Converse of Corresponding Angles Postulate