Question

HELP ME PLEASE I AM BEGGING

Proof

Given: ∠R

and ∠T

are right angles and SV¯¯¯¯¯¯¯

bisects ∠RST



Prove: △RSV≅△TSV

Answer 1

Answers:

1. Given
2. Definition of angle bisector
3. Reflexive property
4. AAS

Explanation:

Explanation

1. Whenever starting a proof, always start by stating what is given. It might seem silly to repeat what your teacher gave you, but this is how all geometry proofs are done. Start with what you're given and work toward what you want to prove. Along the way, use established or previously proven theorems to build up your argument.
2. The term "bisect" means "split in half". We're splitting angle RST into two smaller equal pieces angle1 and angle2.
3. The reflexive property is the idea that any segment (or angle) is equal to itself. It might seem trivial but it's important to help set up AAS.
4. AAS = angle angle side. It's one of the triangle congruence theorems. This is slightly different from ASA. Notice the placement of S in AAS is not between the two "A"s. This is important. In the diagram, the side SV is not between the congruent angles.

Side notes:

• We cannot use SSS, SAS, or HL because we only have info about one pair of sides.
• HL only applies to right triangles.
• As mentioned earlier, we don't use ASA even though it's very similar to AAS. The order of the letters is important.