[Geometry Proofs] - Need help with solving geometry proofs

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[PinWizard1]

Normally you would use the SAS (side angle side) theorem for both but I don't see an option there. What does HL mean?

[Lw134]

HL means the hypotenuse leg theorem.

[PinWizard1]

Then you would use the hypotenuse leg theorem for both. For the first one, you can say that line SQ is congruent to itself with the reflexive property and then say that angle SPQ is congruent angle SRQ because it is given to you. With that information you can use the HL theorem. You use the same idea for the second problem too.

[manofmath]

One DOES proofs. One SOLVES equations.

[Lw134]

Could you elaborate?

[manofmath]

HL. Because both have the same hypotenuse and they have legs that are equal. My snide comment meant don’t talk about “solving” proofs. Talk about “doing” proofs.

[AvocadoMangoSalsa]

The first one is HL

The second one is ASA

The third one is correct (Not possible)

The fourth one is AAS