Learn on the go with worksheets to print out – combined with the accompanying videos, these worksheets create a complete learning unit. Well, they need to be EXTERIOR to the parallel lines and on ALTERNATE sides of the transversal. Common Core Standard(s) in focus: 8.
Alternate EXTERIOR angles are on alternate sides of the transversal and EXTERIOR to the parallel lines and there are also two such pairs. Boost your confidence in class by studying before tests and mock tests with our fun exercises. Start your free trial quickly and easily, and have fun improving your grades! It's time to go back to the drawing stump. Notice that the measure of angle 1 equals the measure of angle 7 and the same is true for angles 2 and 8. Can you see any other angles that are also 60 degrees? Let's take a look at angle 5. We already know that angles 4 and 6 are both 120 degrees, but is it ALWAYS the case that such angles are congruent? That means angle 5 is also 60 degrees. The raccoons are trying to corner the market on food scraps, angling for a night-time feast!
And whenever two PARALLEL lines are cut by a transversal, pairs of corresponding angles are CONGRUENT. Videos for all grades and subjects that explain school material in a short and concise way. 24-hour help provided by teachers who are always there to assist when you need it. We can use congruent angle pairs to fill in the measures for THESE angles as well. Angles 2 and 6 are also corresponding angles. After this lesson you will understand that pairs of congruent angles are formed when parallel lines are cut by a transversal. But there are several roads which CROSS the parallel ones. They DON'T intersect. In fact, when parallel lines are cut by a transversal, there are a lot of congruent angles. 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.
So are angles 3 and 7 and angles 4 and 8. The raccoons crashed HERE at angle 1. And since angles 2 and 4 are vertical, angle 4 must also be 120 degrees. Now, let's use our knowledge of vertical and corresponding angles to prove it. If two parallel lines are cut by a transversal, alternate exterior angles are always congruent. Let's look at this map of their city. For each transversal, the raccoons only have to measure ONE angle. On their nightly food run, the three raccoons crashed their shopping cart... AGAIN. When parallel lines are cut by a transversal, congruent angle pairs are created. Learn about parallel lines, transversals and their angles by helping the raccoons practice their sharp nighttime maneuvers! Based on the name, which angle pairs do you think would be called alternate exterior angles?
Can you see other pairs of corresponding angles here? That means you only have to know the measure of one angle from the pair, and you automatically know the measure of the other! All the HORIZONTAL roads are parallel lines. Well, THAT was definitely a TURN for the worse! Corresponding angles are in the SAME position around their respective vertices and there are FOUR such pairs. These lines are called TRANSVERSALS. Look at what happens when this same transversal intersects additional parallel lines. Corresponding angles are pairs of angles that are in the SAME location around their respective vertices. The measure of angle 1 is 60 degrees. We are going to use angle 2 to help us compare the two angles. 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. We just looked at alternate interior angles, but we also have pairs of angles that are called alternate EXTERIOR angles.
Before watching this video, you should already be familiar with parallel lines, complementary, supplementary, vertical, and adjacent angles. That's because angle 1 and angle 3 are vertical angles, and vertical angles are always equal in measure. Angle 1 and angle 5 are examples of CORRESPONDING angles.
Let's show this visually. 5 A video intended for math students in the 8th grade Recommended for students who are 13-14 years old. Now we know all of the angles around this intersection, but what about the angles at the other intersection? Since angles 1 and 2 are angles on a line, they sum to 180 degrees. Now it's time for some practice before they do a shopping. 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. There are a few such angles, and one of them is angle 3.
Do we have enough information to determine the measure of angle 2? They decide to practice going around the sharp corners and tight angles during the day, before they get their loot. While they are riding around, let's review what we've learned. Can you see another pair of alternate interior angles?
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