Similar triangle proofs, step by step
Similar triangles have the same shape at a different size, and a proof shows why.
The question
Given ∠RUV ≅ ∠S
Prove △RUV ~ △RST
| Statements | Reasons |
|---|---|
| 1. ∠R ≅ ∠R | Reflexive Property |
| 2. ∠RUV ≅ ∠S | ? |
| 3. △RUV ~ △RST | AA ~ |
Reason for step 2: GivenReflexive PropertyVertical AnglesCorresponding AnglesAlternate Interior AnglesAA ~SAS ~SSS ~
Which reason completes the proof?
Which reason completes the proof?
Step 2:∠RUV ≅ ∠S
∠RUV ≅ ∠S→Given
Given
- The proof is missing the reason for step 2: "∠RUV ≅ ∠S". Read what that step claims.
- This fact is handed to you in the Given — nothing has to justify it.
- So the missing reason is Given.
How it works.
- 01
The proof is missing the reason for step 2: "∠RUV ≅ ∠S". Read what that step claims.
- 02
This fact is handed to you in the Given — nothing has to justify it.
- 03
So the missing reason is Given.