Given B is between A and C, AB=5, BC=7. Prove AC=12. Proof: 1 AB=5 and BC=7 (Given); 2 AB+BC=AC (___); 3 5+7=AC; 4 AC=12. What reason fills line 2?

Given B is between A and C and AC=AB+BC. Prove AB=AC-BC. Proof: 1 AC=AB+BC (Given); 2 ___; 3 AB=AC-BC (Symmetric Property). What statement fills line 2?

Given M is the midpoint of PQ. Prove PM=MQ. Proof: 1 M is the midpoint of PQ (Given); 2 PM=MQ (___). What reason fills line 2?

Ray BD bisects angle ABC. Proof: 1 ray BD bisects angle ABC (Given); 2 ___ (Definition of angle bisector). What statement fills line 2?

Ray BD lies inside angle ABC, m<ABD=25°, and m<DBC=40°. Prove m<ABC=65°. Proof: 1 givens; 2 m<ABD+m<DBC=m<ABC (___); 3 25°+40°=m<ABC; 4 m<ABC=65°. What reason fills line 2?

Angles 1 and 2 in the figure form a linear pair. Proof: 1 angles 1 and 2 form a linear pair (Given); 2 ___ (Linear Pair Postulate). What statement fills line 2?

Lines AC and BD intersect at E. Prove m<AEB=m<CED. Proof: 1 AC and BD intersect at E (Given); 2 angles AEB and CED are vertical angles; 3 m<AEB=m<CED (___). What reason fills line 3?

Given m<ABC=m<DEF and m<DEF=m<GHI. Proof: 1 givens; 2 ___ (Transitive Property of Equality). What statement fills line 2?

Given B is between A and C, AB=3, and BC=4. Prove AC=7. Proof: 1 AB+BC=AC (Segment Addition); 2 AB=3 and BC=4 (Given); 3 3+4=AC (___); 4 AC=7. What reason fills line 3?

Given AB=CD. Proof: 1 AB=CD (Given); 2 ___ (Symmetric Property of Equality). What statement fills line 2?

Given angle X ≅ angle Y. Prove m<X=m<Y. Proof: 1 angle X ≅ angle Y (Given); 2 m<X=m<Y (___). What reason fills line 2?

Given RS=TU. Proof: 1 RS=TU (Given); 2 ___ (Definition of congruent segments). What statement fills line 2?

Given angles P and Q are supplementary. Prove m<P+m<Q=180°. Proof: 1 angles P and Q are supplementary (Given); 2 m<P+m<Q=180° (___). What reason fills line 2?

Given m<1+m<2=90°. Proof: 1 m<1+m<2=90° (Given); 2 ___ (Definition of complementary angles). What statement fills line 2?

Given line l bisects segment AB at M. Prove AM=MB. Proof: 1 line l bisects AB at M (Given); 2 M is the midpoint of AB (___); 3 AM=MB (Definition of midpoint). What reason fills line 2?

Given M is midpoint of AB and AB=14 cm. Prove AM=7 cm. Proof: 1 M midpoint AB; 2 ___ (Definition of midpoint); 3 AM+MB=14; 4 AM+AM=14; 5 AM=7. What statement fills line 2?

Given m<A=m<B. Prove m<A+30°=m<B+30°. Proof: 1 m<A=m<B (Given); 2 m<A+30°=m<B+30° (___). What reason fills line 2?

Given m<1+20°=70°. Proof: 1 m<1+20°=70° (Given); 2 ___ (Subtraction Property of Equality). What statement fills line 2?

Angles A and B are supplementary; angles C and B are supplementary. Prove m<A=m<C. Proof: 1 givens; 2 sums with m<B equal 180° (Definition); 3 m<A=m<C (___). What reason fills line 3?

Angles A and B are complementary; angles C and B are complementary. Prove m<A=m<C. Proof: 1 givens; 2 ___ (Definition of complementary angles); 3 m<A=m<C (Congruent Complements Theorem). What statement fills line 2?