Intro to Proofs (Algebraic, Segment, Angle)

Which property, definition, postulate, or theorem justifies the following statement?
If  $3x-17=26$  , then  $3x=33$  . 

• Segment Addition Postulate

• Addition Property of Equality

• Transitive Property of Equality

• Subtraction Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which property, definition, postulate, or theorem justifies the following statement?

 $\overline{MN}\cong\overline{MN}$  

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Transitive Property of Congruence

• Segment Congruences Property

Which property, definition, postulate, or theorem justifies the following statement?

If K is between J and L, then  $JK\ +\ KL\ =JL$  .

• Segment Addition Postulate

• Definition of Midpoint

• Complement Theorem

• Addition Property of Equality

Which property, definition, postulate, or theorem justifies the following statement?

If  $CD+EF=HI$  and  $EF=MN$  , then  $CD+MN=HI$  .

• Transitive Property of Equality

• Addition Property of Equality

• Segment Addition Postulate

• Substitution Property

Which property, definition, postulate, or theorem justifies the following statement?

If  $\angle RST\cong\angle LMN$  , then  $\angle LMN\cong\angle RST$  .

• Reflexive Property of Congruence

• Definition of Congruence

• Symmetric Property of Congruence

• Congruent Complements Theorem

Which property, definition, postulate, or theorem justifies the following statement?

If  $\overline{FG}\cong\overline{GH}$  , then  $FG=GH$  .

• Definition of Congruence

• Definition of Midpoint

• Midpoint Congruence Theorem

• Symmetric Property of Congruence

Tags

CCSS.HSG.CO.B.7

Which property, definition, postulate, or theorem justifies the following statement?

 $3\left(5a-1\right)=15a-3$  

• Multiplication Property of Equality

• Reflexive Property of Equality

• Distributive Property

• Substitution Property

Tags

CCSS.HSA.REI.A.1

Which property, definition, postulate, or theorem justifies the following statement?

If  $\angle A$  and  $\angle B$  form a linear pair, then  $\angle A$  and  $\angle B$  are supplementary.

• Supplement Theorem

• Definition of Supplementary Angles

• Congruent Supplements Theorem

• Definition of Congruence

Which property, definition, postulate, or theorem justifies the following statement?

If  $MP=PN$  and M, N, and P are collinear, then P is the midpoint of  $\overline{MN}$  .

• Segment Addition Postulate

• Reflexive Property of Equality

• Definition of Midpoint

• Definition of Congruence

Tags

CCSS.HSG.CO.A.1

Which property, definition, postulate, or theorem justifies the following statement?

If  $\angle R$  is supplementary to  $\angle S$  and  $\angle R$  is supplementary to  $\angle T$  , then  $\angle S\cong\angle T$  .

• Congruent Supplements Theorem

• Supplements Theorem

• Definition of Supplementary Angles

• Transitive Property of Congruence