3 2 Angles And Parallel Lines Answer Key
After watching this video, you will be prepared to find missing angles in scenarios where parallel lines are cut by a transversal. That means you only have to know the measure of one angle from the pair, and you automatically know the measure of the other! To put this surefire plan into action they'll have to use their knowledge of parallel lines and transversals. All the HORIZONTAL roads are parallel lines. The raccoons only need to practice driving their shopping cart around ONE corner to be ready for ALL the intersections along this transversal. Boost your confidence in class by studying before tests and mock tests with our fun exercises. Well, they need to be EXTERIOR to the parallel lines and on ALTERNATE sides of the transversal. Do we have enough information to determine the measure of angle 2? After this lesson you will understand that pairs of congruent angles are formed when parallel lines are cut by a transversal. And since angles 2 and 4 are vertical, angle 4 must also be 120 degrees. Videos for all grades and subjects that explain school material in a short and concise way. There are a few such angles, and one of them is angle 3. And angle 6 must be equal to angle 2 because they are corresponding angles.
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Angles And Parallel Lines Answers
1 and 7 are a pair of alternate exterior angles and so are 2 and 8. These lines are called TRANSVERSALS. Can you see other pairs of corresponding angles here? We already know that angles 4 and 6 are both 120 degrees, but is it ALWAYS the case that such angles are congruent? We are going to use angle 2 to help us compare the two angles. 24-hour help provided by teachers who are always there to assist when you need it. If we translate angle 1 along the transversal until it overlaps angle 5, it looks like they are congruent. That's because angle 1 and angle 3 are vertical angles, and vertical angles are always equal in measure. Now it's time for some practice before they do a shopping. Common Core Standard(s) in focus: 8. Transcript Angles of Parallel Lines Cut by Transversals. Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles.
3 and 5 are ALSO alternate interior. It concludes with using congruent angles pairs to fill in missing measures. The measure of angle 1 is 60 degrees. So are angles 3 and 7 and angles 4 and 8. We can use congruent angle pairs to fill in the measures for THESE angles as well. The lesson begins with the definition of parallel lines and transversals.
Parallel Lines And Angles Pdf
Let's look at this map of their city. When parallel lines are cut by a transversal, congruent angle pairs are created. Notice that the measure of angle 1 equals the measure of angle 7 and the same is true for angles 2 and 8. They decide to practice going around the sharp corners and tight angles during the day, before they get their loot.
Let's take a look at angle 5. Well, THAT was definitely a TURN for the worse! That means the measure of angle 2 equals the measure of angle 6, the measure of angle 3 equals the measure of angle 7, and the measure of angle 4 equals the measure of angle 8. The raccoons crashed HERE at angle 1. Look at what happens when this same transversal intersects additional parallel lines. Now we know all of the angles around this intersection, but what about the angles at the other intersection?
Parallel Lines And Angles Worksheet Answers
Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers! If two parallel lines are cut by a transversal, alternate exterior angles are always congruent. The raccoons are trying to corner the market on food scraps, angling for a night-time feast! We call angle pairs like angle 6 and angle 4 alternate interior angles because they are found on ALTERNATE sides of the transversal and they are both INTERIOR to the two parallel lines. 5 A video intended for math students in the 8th grade Recommended for students who are 13-14 years old.
It leads to defining and identifying corresponding, alternate interior and alternate exterior angles. But there are several roads which CROSS the parallel ones. Since angle 6 and angle 4 are both equal to the same angle, they also must be equal to each other! Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. 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.