Question

Lines m and n are cut by a transversal, as shown in the figure.

Line l is drawn from the upper left to lower right. Lines m and n are drawn from the upper right to the lower left. Line l intersects line m and lines n. Where line l intersects line m, the angles formed are listed from the top in clockwise order: angle 1, angle 2, angle 3, and angle 4. Where line l intersects line n, the angles formed are listed from the top in clockwise order: angle 5, angle 6, angle 7, and angle 8.

Given line m is not parallel to line n, prove ∠1 is not congruent to ∠5 by contradiction. (2 points for the assumption statement, 4 points for the remainder of the proof)

Answer 1

@luigi0210

Answer 2

@arieonna

Answer 3

@supie @sxdsouls @renne

Answer 4

@oliver69

Answer 5

1,2, and also 5 i believe if i read this correct

Answer 6

what grade math is this

Answer 7

@hero can u please help on this question please someone needes helps and i cant figure it out

Answer 8

Consult the definitions and postulates for a pair of lines cut by a transversal.

Answer 9

Here's a question: when proving something by contradiction, what should you assume first?

Answer 10

@ihavewrizz

Answer 11

quote=@ihavewrizz]

Answer 12

That's not assuming the opposite of what you were given. That's assuming the same as what you were given.

Answer 13

Correct. Which means you start the proof the same way you would as if they were parallel.

Answer 14

So at the beginning of the proof, you assume the opposite of what you were given, by the time you reach your conclusion, you should discover a contradiction.