Angle & Segment proofs

Fill in the reason for number 3. 

• Angle Addition Postulate
• Addition Property
• Definition of congruent angles
• Given

Fill in the statement for number 4. 

• m<ABC = m<1 + m<2 ; m<EFG = m<3 + m<4
• m<ABC = m<1 + m<4 ; m<EFG = m<3 + m<2
• <ABC= <1+ <2 ;   <EFG=  <3+ <4
• <ABC = <1 + <4 ;  <EFG =  <3 +  <2

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

Fill in the statement for number 3. 

• HA = AY
• HA = AP
• A is the midpoint of HP

Tags

CCSS.HSG.SRT.B.4

Fill in the statement for number 4. 

• RA=RE +AE
• EL = EA + AL
• RE +EA= EA +AL
• RA = EL

Tags

CCSS.HSG.SRT.B.5

Fill in the reason for 5. 

• Addition Postulate
• Substitution property
• Definition of midpoint
• Segment Addition Postulate

Tags

CCSS.HSG.SRT.B.4

Find the value of x.

• 22
• 28
• 23
• 30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.9

What is the Alternate Interior Angle Theorem?

• If two parallel lines are cut by a transversal, then the resulting alternate interior angles are congruent .
• If two angles are congruent, they are on parallel lines.
• If two parallel lines are cut by a transversal, then the angles are all congruent
• If two alternate interior angles are congruent, the lines are parallel.

Tags

CCSS.HSG.CO.C.9

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.10

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Definition of Right Angle
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Vertical Angles Theorem
• Definition of Complementary Angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9