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- devinmartin0923

Need help with Geometry

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- devinmartin0923

Need help with Geometry

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- devinmartin0923

Derek wrote the following paragraph proof for the Vertical Angles Theorem:

- devinmartin0923

- devinmartin0923

The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180 degrees by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and angle 4 by the transitive property of equality. Angle 1 is equal to angle 3 _____________________.
Which phrase completes the proof?
by construction using a straightedge
by the definition of a perpendicular bisector
by the subtraction property of equality
by the vertical angles theorem

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- anonymous

What do you think is the answer?

- devinmartin0923

I belive it is A,
it is definitly not D

- anonymous

Why not D? Do you know what Vertical Theorem is?

- devinmartin0923

Because I thought it was the answer and it was marked incorrect :/

- anonymous

What would you do so that you would only left with <1 =<3? |dw:1439936508497:dw|

- devinmartin0923

combine like terms

- devinmartin0923

- devinmartin0923

hallpppp im leaning towards B

- anonymous

What would you have to do to combine like terms?
Also, You know D is wrong. Did the proof mention construction or perpendicular bisectors?

- devinmartin0923

Okay so C is sticking out to me then

- anonymous

yes

- devinmartin0923

thank you

- anonymous

Sorry, I wasn't able to reply quickly. :(

- anonymous

fyi, D is wrong because you can't use the vertical angle thm to prove itself

- anonymous

We know that already...

- anonymous

Notice that you would subtract <4 on both sides so that <1=<3, so the proof would be SPE. :)

- devinmartin0923

You guys rock <3

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