Complete this proof of one case of the triangle inequality theorem.
Given: ABC
Construct: extend BC to point D so that AB = DB
Prove: AB + BC AC
https://media.studyisland.com/pics/109209question3.png
DB = AB by construction
DB + BC = DC segment addition postulate
AB + BC = DC substitution property of equality
m2 = m3 ?
mDAC = m1 + m2 angle addition postulate
mDAC m2 the whole is larger than its parts
mDAC m3 by substitution property of equality
DC AC The larger side in a triangle subtends the larger angle.
AB + BC AC substitution property of equality (see first three

Question

Complete this proof of one case of the triangle inequality theorem.
Given: ABC
Construct: extend BC to point D so that AB = DB
Prove: AB + BC > AC 
https://media.studyisland.com/pics/109209question3.png
DB = AB	by construction
DB + BC = DC	segment addition postulate
AB + BC = DC	substitution property of equality
m2 = m3	?
mDAC = m1 + m2	angle addition postulate
mDAC > m2	the whole is larger than its parts
mDAC > m3	by substitution property of equality
DC > AC	The larger side in a triangle subtends the larger angle.
AB + BC > AC	substitution property of equality (see first three

anonymous · Answer

A. substitution property of equality
B. SAS congruence
C. Pythagorean theorem
D. isosceles triangle theorem

anonymous · Answer

can anyone plz help me??

anonymous · Answer

first to anwser gets a medal!!

anonymous · Answer

a

anonymous · Answer

To late

Study island shut off!!

anonymous · Answer

dang study island!

anonymous · Answer

can i post another question please

anonymous · Answer

and can you please help me with that one??

anonymous · Answer

https://media.studyisland.com/pics/118629q5.png Given: g h Prove: 1 and 2 are supplementary Proof: Statements Reasons 1. g h 1. Given 2. 1 3 2. 3. m1 = m3 3. Definition of congruent angles 4. 2 and 3 are supplementary 4. Linear pair postulate 5. m3 + m2 = 180° 5. Definition of supplementary angles 6. m1 + m2 = 180° 6. Substitution property of equality 7. 1 and 2 are supplementary 7. Definition of supplementary angles Which of the following reasons completes the proof? Alternate interior angles theorem Definition of linear pair Alternate exterior angles theorem Definition of congruent angles

anonymous · Answer

Given:		g  h
 		
Prove:		1 and 2 are supplementary
 		
Proof:		

Statements	Reasons
1. g  h	1. Given
2. 1  3	2.
3. m1 = m3	3. Definition of congruent angles
4. 2 and 3 are
    supplementary	4. Linear pair postulate
5. m3 + m2 = 180°	5. Definition of supplementary
    angles
6. m1 + m2 = 180°	6. Substitution property of
    equality
7. 1 and 2 are
    supplementary	7. Definition of supplementary
    angles

Which of the following reasons completes the proof? 

A. Alternate interior angles theorem
B. Definition of linear pair
C. Alternate exterior angles theorem
D. Definition of congruent angles

anonymous · Answer

a