Fill This Form To Receive Instant Help
Fill This Form To Receive Instant Help
Homework answers / question archive / The diagram below shows the construction EY↔ through point P parallel to NF↔
The diagram below shows the construction EY↔ through point P parallel to NF↔.
Which theorem justifies this method of construction?
A. If two lines in a plane are cut by a transversal to form congruent corresponding angles, then the lines are parallel.
B. If two lines in a plane are cut by a transversal to form congruent alternate exterior angles, then the lines are parallel.
C. If two lines in a plane are perpendicular to a transversal at different points, then the lines are parallel.
D. If two lines in a plane are cut by a transversal to form congruent alternative, interior angles, then the lines are parallel.
Use the figure to drag in the missing statement or reason to complete the proof.
Given: x || y and Ð6 @ Ð11.
Prove: i || m
x y
6 8 l
9 11 m
|
Statements |
Reasons |
|
1. X // y and Ð6 @ Ð11 |
1. Given |
|
2. Ð6 @ Ð8 |
2. Corresponding Angles Postulate |
|
3. Ð11 @ Ð8 |
3. Alternate Interior Angles Theorem |
|
4. I // m |
4. Converse of Reflexive Property of Equality |
1 x 2 3 4 l
|
5 9 |
106 711 |
812 |
13 14 15 16 m
Tell which lines, if any are parallel based on each of the following facts. (Note: name the lines in alphabetical order!) Then state which theorem or post justifies your answer.
Ð4 @ Ð13 ? || ? by the ?
mÐ10 + mÐ11 = 180° makes ? || ? by the ?
Ð9 @ Ð16 makes ? || ? by the ?
Ð7 @ Ð12 makes ? || ? by the ?
mÐ1 + mÐ3 = 180° makes ? || ? by the ?
Ð6 @ Ð14 makes ? || ? by the ?
