Question

I just took a geometry tests on proofs and got this question wrong:

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)

Answer 1

These were the answer choices:

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.

I chose that both were incorrect even though Darius' broth was correct because he said that "T was is a straight line." Shouldn't it be because they are supplementary angles?

Answer 2

(Please ignore my typos.)

Answer 3

i srry i dont rember but may be @Awolflover1 could help chu <3

Answer 4

@AloneS

Answer 5

I'm guessing that they were perpendicular bisectors.

Because
angle 1 and angle 4 are supplementary.
angle 1 and angle 2 are supplementary



If 3 angles are next to each other, and each is supplmentary of each, then they are all 90 degrees.

Answer 6

that is accurate

Answer 7

That's graphically. Now based on the proof:

angle 1 and angle 4 are supplementary
angle 1 and angle 2 are supplementary

And hence 1 + 2 = 1 + 4.

That way, 2 = 4

Answer 8

So I was correct in stating that neither proof was right?

Answer 9

When it says 't' is a straight line, did it have a graph?

Answer 10

I FORGOT TO POST THE PHOTO I'M SORRY!

Answer 11

Depending on if there was a diagram provided showing that angle 1 and angle 4 are on a straight line.

Answer 12

Okay.....well you're right that it should be supplementary angles. I guess your teacher made the assumption that straight lines always give supplementary angles. :\ I would argue that to your teacher though to see if you can get a point back.

Answer 13

Like seriously, that's what I would do.

(Unless you guys have it in notes that straight line gives supplementary angles, then you're kinda screwed lel)

Answer 14

I did she told me that "sometimes you have to learn what's important and what's not" Not sure what that means... Thank you anyways!

Answer 15

she's gotten answers wrong before and wouldn't give me the points... Oh well :/

Answer 16

wow......it's those kind of teachers xD

Answer 17

Yup! Fun!