Question

11. Justify the last two steps of the proof.
Given RS+UT and RT=US
Prove:RST=UTS
RS=UT given
RT=US given
ST=TS ______
RST=UTS_____

Answer 1

Reflexive Property of ; SSS
Symmetric Property of ; SSS
Reflexive Property of ; SAS
Symmetric Property of ; SAS

Answer 2

here some theorems and postulates of geometry :
http://www.regentsprep.org/Regents/math/geometry/GPB/theorems.htm

Answer 3

it is the 2nd one :)

Answer 4

RS + UT ??

Or RS = UT ???

Answer 5

sorry its RS=UT

Answer 6

so is it D?

Answer 7

Why can't it be C??

It is C or D, I think..

Answer 8

Wait, it can be SSS..

Answer 9

is all sides of triangle RST and triangle STU are same ?
if yes, SSS right ?

Answer 10

right but is it reflexive or symmetric?

Answer 11

@amistre64 , @UnkleRhaukus @ParthKohli @experimentX I need your precious look here..

Answer 12

reflexive is identity

symmetric is commutative

and transitive is .... self explanatory :)

Answer 13

so is it D?

Answer 14

But how can we apply these here??

Answer 15

well, st = ts , and st and ts are sides of triangles

Answer 16

they give 2 other equal sides, and the third side is equal to itself

Answer 17

so, what @amistre64 ?
honestly im not sure too :)

Answer 18

which option is commutative and deals with 3 sides?

Answer 19

.... hmmm, so the options are meant to fill in the last 2 blanks

Answer 20

okay i am confused...

Answer 21

since the last blank is an angle, and the first blank defines the congruency of the set of triangles .... id say D

Answer 22

ST = TS, Isn't it Reflexive??