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Mathematics 10 Online
OpenStudy (anonymous):

Help me

OpenStudy (anonymous):

1. Joel and Melinda provide the following proofs for vertical angles to be equal. Joel's proof: angle 2 + angle 3=180° (t is a straight line) angle 1 + angle 2 = 180° (PQ is a straight line) Therefore, angle 1 + angle 2 = angle 2 + angle 3 (Transitive Property of Equality) Hence, angle 1 = angle 3 (Subtraction Property of Equality) Melinda's proof: angle 1 + angle 2 + angle 3 + angle 4 = 360° Therefore, angle 1 + angle 4 = 180° (t is a straight line) Hence, angle 4 = angle 2 (Transitive Property of Equality) Which statement is correct? (4 points) Only Joel's proof is correct. Only Melinda's proof is correct. Both Joel's and Melinda's proofs are correct. Both Joel's and Melinda's proofs are incorrect.

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8 @midhun.madhu1987 @perl

OpenStudy (anonymous):

i think its c

OpenStudy (anonymous):

????

ganeshie8 (ganeshie8):

Joel's proof looks good

OpenStudy (anonymous):

yea

ganeshie8 (ganeshie8):

Melinda's proof looks broken at 3rd line as i don't see how she was able to use transitive property

OpenStudy (anonymous):

ahh i guess i didnt catch that mistake

OpenStudy (anonymous):

so are u saying that melindas proof is wrong?

ganeshie8 (ganeshie8):

yes

OpenStudy (anonymous):

can you help me with one more?

OpenStudy (anonymous):

Jazz draws a transversal, t, on two parallel lines AB and CD, as shown below. He makes the following table to prove that the alternate interior angles are equal. Statement Justification angle 2 = angle 6 Corresponding angles of parallel lines are congruent. angle 2 = angle 4 ? angle 4 = angle 6 transitive property of equality, angle 2 = angle 6, angle 2 = angle 4, therefore angle 4 = angle 6 Which is the missing justification? (5 points) Angles 1 and 3 are supplementary; therefore, angle 2 is equal to angle 4. Angles 1 and 3 are congruent; therefore, angle 2 is equal to angle 4. Vertical angles are congruent. Angles 1 and 4 and angles 1 and 2 are congruent; therefore, angle 2 is equal to angle 4.

OpenStudy (anonymous):

OpenStudy (anonymous):

im stuck on this as well

ganeshie8 (ganeshie8):

look at angles 2 and 4

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