Question

proofs and theorems with choices

Answer 1

http://prntscr.com/i4ijo9

Answer 2

@563blackghost

Answer 3

there is one more choice and its the polygon similarity postulate

Answer 4

@AngeI

Answer 5

Oh, trust me you dont want my help on this. I stuck at this

Answer 6

@Vocaloid

Answer 7

1 is already given in the problem, so Given
2. is a result of the midpoint definition given in #1, so definition of midpoint
3. is a result of segments MK = JK, etc. already defined in #2 so segment congruence postulate

Answer 8

4 is stating that MJ is composed of MK + MJ and the same thing for the other side, so segment addition postulate
5/6 given
7 is stating that <J = <J and if a statement says that something is congruent to itself that's the reflexive congruent property
8. I have no idea what this is trying to say (SAS theorem?)

Answer 9

i was thinking seven was reflexive prpty

Answer 10

i will take a better screen shot

Answer 11

http://prntscr.com/i4ivlu
i think its like the parallel sign symbol

Answer 12

and there is an extra choice "polygon similarity postulate"

Answer 13

is it 9

Answer 14

9 is a result of the similarity between the top and entire triangles (polygon similarity?)
10 is taking the result from part 6 and subbing that into part 9, so substitution property of equality
11. we multiplied both sides by KL to get this, multiplication property of equality

Answer 15

very much appreciated !