Lines A and B are parallel based on the Converse of Alternate Angles theorem. By using this it shows the lines are parallel which is what we are trying to prove. <1 and <2 are congruent and they are also both Alternate Exterior angles. As they are are both on the exterior of the parallel lines. The parallel lines also have a transversal cutting through it. The picture is part of stair railings.
This is a picture of the Colosseum which is located in Rome, Italy. It was essentially a sports arena back when it was first built. <1 and <2 are interior alternate angles and are also both congruent. Lines A and B are congruent based on the Converse of Alternate Angles theorem. To prove that lines A and B are parallel we use the converse which is what we also did with <1 and <2. They are both interior angles because they are on the inside of the parallel lines. They also have a transversal running through it.
Cognitive Tutor 25/25 pts.
ReplyDeleteParallel/Transversal Lines 25 /25 pts.
Correct Theorems/Postulates 20/25 pts.
Paragraph 25 /25 pts.
95/100 pts.
Nice job, the only thing I can say is that when you are using the converse to prove lines parallel you need to use the converse of the angle relationship. So it is not the converse of alternate angles for the photos, but converse of alternate exterior angles or converse of alternate interior angles.