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Mathematics 11 Online
OpenStudy (devinmartin0923):

Geometry help (part 2) checking if im correct

OpenStudy (devinmartin0923):

Adam and Darius provide the following proofs for vertical angles to be equal:

OpenStudy (devinmartin0923):

OpenStudy (devinmartin0923):

Adam's proof: angle 1 + angle 2 + angle 3 + angle 4 = 360° Therefore, angle 2 + angle 3 = 180° (t is a straight line) Hence, angle 1 = angle 3 (Transitive Property of Equality) Darius' proof: angle 1 + angle 4 = 180° (t is a straight line) angle 1 + angle 2 = 180° (PQ is a straight line) Therefore, angle 1 + angle 2 = angle 1 + angle 4 (Transitive Property of Equality) Hence, angle 2 = angle 4 (Subtraction Property of Equality) Which statement is correct? Only Adam's proof is correct. Both Adam's and Darius' proofs are correct. Both Adam's and Darius' proofs are incorrect. Only Darius' proof is correct.

OpenStudy (devinmartin0923):

I believe its B

OpenStudy (anonymous):

Adam's proof lacks something. He didn't state the reason "angle 1 + angle 2 + angle 3 + angle 4 = 360° ngle 1 + angle 2 + angle 3 + angle 4 = 360° ":)

OpenStudy (devinmartin0923):

Darn im always off a little so its D then? thank you for taking your time to help

OpenStudy (devinmartin0923):

@peachpi

OpenStudy (anonymous):

yes I agree with @mathway. Only the second one has all the steps

OpenStudy (devinmartin0923):

thank youuu

OpenStudy (anonymous):

It is D. Again, sorry for replying slow.

OpenStudy (devinmartin0923):

not slow at all I am greatfull

OpenStudy (anonymous):

Anyway, great job! You just need a little practice and you'll realize that proving isn't that hard. :)

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