Question

WILL GIVE MEDAL PLEASE HELP

Answer 1

@Hero @Luigi0210 @mathstudent55 @ParthKohli @SolomonZelman

Answer 2

Can you identify the first step?

Answer 3

Using a compass and straightedge, construct US as an angle bisector of ∡RST.

This one?

Answer 4

Right, now which one comes next?

Answer 5

RS ≅ ST according to the given information.

Answer 6

We're going to use that later for the Side Angle Side Theorem, so not quite yet.

Answer 7

∡RSU is congruent to ∡UST by the definition of an angle bisector.

Answer 8

Yup. Now which one?

Answer 9

US is congruent to US by the Reflexive Property of Equality.

Answer 10

Nice job, which one next?

Answer 11

Angle TRS ≅ Angle STR by CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

Answer 12

Exactly, now just two left, can you put them both in order?

Answer 13

and then it starts over?

Answer 14

Oh no I made a mistake, I'm sorry. The initial step is that RS is congruent to ST because it is given, which makes it take a whole different direction. I'm really sorry about that. So start with that one, then which one comes next.

Answer 15

It's almost in the correct order, just put the given box first, then switch CPCTC with the SAS formula. You're figuring out that the sides are equal because the triangles are congruent.

Answer 16

what do you mean

Answer 17

Acknowledging the given information should have been the first step in the proof. Everything else is in order up to the box where US is congruent to US by the Reflexive Property, so which one should come after the Reflexive Property box?

Answer 18

Triangle RSU is congruent to Triangle TSU by the Side-Angle-Side Postulate

Answer 19

Right, and then to the last box.

Answer 20

Angle TRS ≅ Angle STR by CPCTC (Corresponding Parts of Congruent Triangles are Congruent).

Answer 21

Exactly. Sorry again about messing up, I hope I didn't confuse you.

Answer 22

its fine

Answer 23

so like this