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July 21, 2024, 9:47 am

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If two parallel lines are cut by a transversal, alternate exterior angles are always congruent. Can you see another pair of alternate interior angles? That's because angle 1 and angle 3 are vertical angles, and vertical angles are always equal in measure. And angle 6 must be equal to angle 2 because they are corresponding angles. Let's take a look at angle 5. Angle 1 and angle 5 are examples of CORRESPONDING angles.

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Well, they need to be EXTERIOR to the parallel lines and on ALTERNATE sides of the transversal. Since angle 6 and angle 4 are both equal to the same angle, they also must be equal to each other! Transcript Angles of Parallel Lines Cut by Transversals. All the HORIZONTAL roads are parallel lines. They can then use their knowledge of corresponding angles, alternate interior angles, and alternate exterior angles to find the measures for ALL the angles along that transversal. The raccoons only need to practice driving their shopping cart around ONE corner to be ready for ALL the intersections along this transversal. To put this surefire plan into action they'll have to use their knowledge of parallel lines and transversals. Let's look at this map of their city. We just looked at alternate interior angles, but we also have pairs of angles that are called alternate EXTERIOR angles. The measure of angle 1 is 60 degrees. Start your free trial quickly and easily, and have fun improving your grades!

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While they are riding around, let's review what we've learned. Notice that the measure of angle 1 equals the measure of angle 7 and the same is true for angles 2 and 8. Corresponding angles are in the SAME position around their respective vertices and there are FOUR such pairs. The lesson begins with the definition of parallel lines and transversals. Now it's time for some practice before they do a shopping. Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles. When parallel lines are cut by a transversal, congruent angle pairs are created. Corresponding angles are pairs of angles that are in the SAME location around their respective vertices. It's time to go back to the drawing stump. Well, THAT was definitely a TURN for the worse! 24-hour help provided by teachers who are always there to assist when you need it.

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The raccoons crashed HERE at angle 1. 5 A video intended for math students in the 8th grade Recommended for students who are 13-14 years old. Since angles 1 and 2 are angles on a line, they sum to 180 degrees. Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. We are going to use angle 2 to help us compare the two angles. We already know that angles 4 and 6 are both 120 degrees, but is it ALWAYS the case that such angles are congruent? After watching this video, you will be prepared to find missing angles in scenarios where parallel lines are cut by a transversal. Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers!

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Can you see other pairs of corresponding angles here? Do we have enough information to determine the measure of angle 2? Now, let's use our knowledge of vertical and corresponding angles to prove it. Look at what happens when this same transversal intersects additional parallel lines. Based on the name, which angle pairs do you think would be called alternate exterior angles? Can you see any other angles that are also 60 degrees? They decide to practice going around the sharp corners and tight angles during the day, before they get their loot. They DON'T intersect. 3 and 5 are ALSO alternate interior.

There are a few such angles, and one of them is angle 3. In fact, when parallel lines are cut by a transversal, there are a lot of congruent angles. Now we know all of the angles around this intersection, but what about the angles at the other intersection? Angles 2 and 6 are also corresponding angles. For each transversal, the raccoons only have to measure ONE angle. After this lesson you will understand that pairs of congruent angles are formed when parallel lines are cut by a transversal.

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