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00:21

Amrita B.

Planes $M$ and $N$ are known to intersect. a. What kind of figure is the intersection of $M$ and $N ?$ lire b. State the postulate that supports your answer to part (a).

00:24

Evan S.

The numbers given are the coordinates of two points on a number line. State the distance between the points. $$-6 \text { and } 9$$

00:47

The numbers given are the coordinates of two points on a number line. State the distance between the points. $$-2.5 \text { and } 4.6$$

00:27

Classify each statement as true or false. $\overrightarrow{A B}$ is in plane $R$.

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Hey, guys, we're back and we're gonna talk more about isosceles and equilateral triangles. We talked about the definitions of both of them before and some earlier videos about terminology in general, but we're going to revisit the definitions of the nicest and equilateral triangle, and then later on, we're gonna come back and look at some examples of each. Okay, so let's first talk about an isosceles triangle I saw. Sales is one of the three ways we can determine or characterized, or classify a triangle by its sides and in most textbooks. And isosceles triangle is a triangle that is exactly to congruent sides. So it's a triangle with exactly that's a key word for most books. Exactly two conclusion. Besides, or this is the congruent symbol, remember, that's an equal sign with a squiggly above it. So that's the definition of an isosceles triangle, and equal lateral triangle goes beyond that, and it's a triangle as all three sites congrats. So my tape marks indicate that all three are equal, so there's a very special angle relationships that occur with isosceles and equilateral triangles, an isosceles triangle. The fact that we have two equal sides also implies that we have to opposite equal angles. We call those the base angles. Oftentimes, those air called the base angles because the non congruent sides called the base. And then this angle is usually called the vertex that's specific to an isosceles triangle. So you have two equal sides, exactly two equal sides. And then that also means you have to equal angles and those angles or the opposite angles of the congruent sides known as the base angles in an equilateral triangle. Because you basically have, like a super isosceles triangle, all of the angles are equal. So not only can you call this triangle equal lateral, meaning all sides are equal. You can also call it equal, angular, and that essentially means the same thing because all angles are equal. In fact, since all of the angles were equal and the some of the interior angles of a triangle is 1 80 each of these angles is going to be 60 degrees. That's a fixed value that's special to an equilateral or equal angular triangle. So to recap, we have two very special triangles. Isosceles Triangle has exactly two equal sides, which forces to opposite congruent angles known as the base angles. And then we have a, uh, equilateral triangle. It has all three sides of equal length and therefore all three angles of equal value, which in this case are specifically 60 degrees, which is a nice fact specific to this triangle. All right, go back with some examples of each.

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