Question

Please Help will give medal!!! (pic below)

Answer 1

I'm sure you know what goes in statement #2

Answer 2

is statment 2 SV || TU

Answer 3

yes because that's also given to you

Answer 4

they made a mistake when it comes to making up this table

one of the statements should be ST || VU because a parallelogram is a 4 sided figure with opposite sides that are parallel. So if you can show ST || VU is true, then you can use that along with SV || TU to say VUTS is a parallelogram

but I don't see how to fit ST || VU on statement 3 because you need a statement before that saying how angle TUS = angle VSU and then you use the converse of the alternate interior angle theorem to show ST || VU is true

In short, there's not enough lines to do a proper proof here

Answer 5

I think 2 more lines are needed

Answer 6

Then again, I guess you could use the rule given here

http://www.regentsprep.org/regents/math/geometry/gp9/lparallelogram.htm

"Combo: If ONE PAIR of opposite sides of a quadrilateral are BOTH parallel and congruent, the quadrilateral is a parallelogram"

but may not be what your teacher wants

Answer 7

im confused

Answer 8

yeah same here since it seems like there isn't enough room

Answer 9

and that I don't know what your teacher is looking for

Answer 10

it would be handy if your teacher gave you a list of theorems

Answer 11

i know right

Answer 12

my best guess

Answer 13

do you know 7 or 8

Answer 14

3)Diagonals Bisect
7)Corresponding parts of congruent triangles are congruent. SX =XT and VX=XU

8)If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer 15

Right?

Answer 16

thank you sooooo much

Answer 17

@DanJS would 7 also be considered SAS?

Answer 18

Side angle side?

Answer 19

In the givens, they tell you that the two triangles are congruent. SAS is used in proving congruent triangles.