So my teacher marked this 0/6 but only told me to correct 2 things. Can some one check over this? If I'm right I need to email my teacher..
Complete the two column proof. Given: <2 and <5 are supplementary.
Prove: L || M
Statement 1: <2 and <5 are supplemtary. Reason 1: given.
Statement 2: <3 = <2. Reason 2: Vertical angles
Statement 3: <3 and <5 are supplementary. Reason: same side interior angles.
Statement 4: L || M. Reason: If the same side interior angles are supplementary, then the two lines are parallel.
She only wanted me to correct 3 and 4 but she didn't give me points for the others...
I just need a second opinion
Based on the provided information, it appears that your teacher marked two specific statements as needing correction. Let's review the original statement and the suggested corrections:
Original Statement 3: <3 and <5 are supplementary. Reason: same side interior angles.
Correction: <3 and <2 are supplementary. Reason: same side interior angles.
Explanation: In the given problem, <3 and <2 are the angles being compared, not <3 and <5.
Original Statement 4: L || M. Reason: If the same side interior angles are supplementary, then the two lines are parallel.
Correction: L || N. Reason: If the same side interior angles are supplementary, then the two lines are parallel.
Explanation: The original statement claims that L is parallel to M, but based on the given information, it should be L parallel to N.
You can now email your teacher stating that you have made the necessary corrections to your two-column proof.
To check if your answer is correct, let's go through each statement and reason one by one:
Statement 1: "<2 and <5 are supplementary." - The reason is "given." This statement is correct, as it matches what was given in the problem.
Statement 2: "<3 = <2." - The reason is "vertical angles." This statement is correct. When two lines intersect, the opposite angles formed are called vertical angles, and they are congruent.
Statement 3: "<3 and <5 are supplementary." - The reason is "same-side interior angles." This statement is correct. Same-side interior angles are supplementary when two lines are parallel.
Statement 4: "L || M." - The reason is "If the same side interior angles are supplementary, then the two lines are parallel." This statement is correct because it is a direct application of the property that was mentioned in the reason for Statement 3. If the same-side interior angles are supplementary, then the lines are parallel.
Based on this analysis, it appears that all statements and reasons in your proof are correct. However, it's possible that your teacher may have marked some other aspects of the problem incorrectly.
If you believe that you have corrected the requested mistakes and have provided a valid proof, it would be appropriate to email your teacher to discuss the marking and clarify any confusion.