List of 24: #13-24

Answer explanation

The definition of right angle states they are 90 degrees.

Tags

CCSS.4.G.A.1

• Reason: Definition of supplementary

• Reason: Linear Pairs Postulate

• Reason: Subtraction POE

Answer explanation

Subtracted 38 on BOTH sides

Tags

CCSS.7.G.B.5

• Reason: Substitution POE

Answer explanation

Changed the congruent sign to an equal sign.

Tags

CCSS.HSG.SRT.B.5

• Reason: Definition of Linear Paris

• Reason: Definition of supplementary

• Reason: Linear Pairs Postulate (LPP)

Answer explanation

LPP or Linear Pairs Postulate says that 2 angles that are linear are also supplementary

Tags

CCSS.7.G.B.5

Given: 2XY = XZ

Reason: Division POE

• Statement: XY + XY = XZ

• Statement: XY = 2XZ

• Statement: XY = XZ + XZ

Answer explanation

Division POE says I am going to divide on both sides. When you divide by 2 you end up with 1/2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Answer explanation

Changed the congruent sign to an equal sign

Tags

CCSS.HSG.SRT.B.5

Answer explanation

Right angle congruence states that all right angles are congruent. When you set two angles are right angles, you can go straight to them being congruent.

Tags

CCSS.7.G.B.5

• Reason: Definition of supplementary

• Reason: Transitive POE

• Reason: Substitution POE

Answer explanation

When 2 angles are supplementary to the same angle, they are congruent to each other. This is the congruent supplement theorem.

Ex: Angle 1 = 120 and Angle 2 = 60. They are supplementary. Angle 2 and Angle 3 are also supplementary. Since Angle 2 = 60, Angle 3 would have to = 120. This makes Angle 1 and Angle 3 congruent.

Tags

CCSS.8.G.A.2

Given: $\angle4\ and\ \angle5\ are\ complementary$  
 $\angle5\ and\ \angle6\ are\ complementary$  

Reason:  $\cong\ Complement\ Theorem$  

• Statement:  $m\angle4+m\angle5\ =\ 90\degree$  and  $m\angle5\ +\ m\angle6\ =\ 90\degree$  

• Statement:  $\angle4\cong\angle6$  

• Statement:  $\angle4\ \cong\angle5$  

• Statement:  $\angle4,\ \angle5,\ and\ 6\ are\ right\ angles$  

Tags

CCSS.HSG.SRT.B.5

• Reason: Definition of Linear Pairs

Answer explanation

All vertical angles are congruent. They are our "kissing" angles.

Tags

CCSS.7.G.B.5