Eksempler på brug af Triangles are congruent på Engelsk og deres oversættelser til Dansk
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We have proven this multiple times that these two triangles are congruent.
Two triangles are congruent if they have two angles and one side equal.
Now the next thing I want to think about is whether these triangles are congruent.
So we know that 2 triangles are congruent if all of their sides are the same.
So this first thing, they're comparing two triangles and they say these two triangles are congruent because of angle side angle.
And if we know that these two triangles are congruent, that means that all of their corresponding angles are congruent. .
So statements 1, 2, and 3 andthe Side-Side-Side postulate let us know that these two triangles are congruent.
And then finally, these two triangles are congruent because of side, side, side congruence.
The ratio is the same, so by SAS we know, so by SAS we know that the 2 triangles are congruent.
So, all four of these triangles are congruent so you could take the area of this triangle multiply it by four you will have the area of the rhombus.
What I wanna do in this video is figure out which of these triangles are congruent to which other of these triangles. .
This line segment right over here is congruent to this line segment right over here Because we know that those two triangles are congruent.
So that by itself is interesting But we know that if two triangles are congruent All of their corresponding sides and angles.
What we know if two triangles are congruent, all of their corresponding features especially all of the corresponding sides are congruent. .
If you only Kender three angles, it can not be said of the triangles are Congruent, men de er ligedannede.
And if that two triangles are congruent that makes things convenient that means if this side is 8, that side is 8 we already knew that.
If you only Kender three angles,it can not be said of the triangles are Congruent, but they are all formed.
If you have something where all the angles are the same and you have a side that is also-- the corresponding side is also congruent, then the whole triangles are congruent.
And so we know corresponding triangles are congruent, we know that angle ClG correspond to angle FOG so those are going to be congruent, and we also know that angle CGl, angle CGl, let me do this a new color, angle CGI corresponds to angel OGF so they're also going to be congruent. .
Hvis man kun kender de tre vinkler,it can not be said of the triangles are Congruent, but they are all formed.
This is kind of our toolkit; we have the Side-Side-Side postulate, that if the 3 sides are congruent, then the 2 triangles are congruent.
On the other triangle, we have a hypotenuse that's congruent to the other hypotenuse,so that means that our two triangles are congruent.
So we can say BE-- well, we could say the length is equal-- but we could even say BE is congruent to BA because corresponding parts of congruent triangles are congruent.
So we know, we know that triangle BCD is congruent so BCD is congruent to, well we know it's congruent all of these triangles are congruent to each other.
So then they say that this triangle is congruent to this triangle, right over here.
We could say that this triangle is congruent to this triangle, because you have this angle side angle, this angle side angle.
If down here, they're making that statement,then up here they must want us to say that this triangle is congruent to this triangle, right over here.
And what is corresponding in these two triangles that will help us get to our end goal of saying that this top triangle is congruent to this bottom one?
And then they say AC is congruent to CE because-- well we just figured out that this top triangle is congruent to this one down over here.
An interesting way to prove it, and you can look at it just by eyeballing it, is if we can show that this triangle is congruent to this triangle and that these 2 angles right over here correspond to each other then they have to be the same and they will be supplementary and they will be 90 degrees so let's just prove it to ourselves.