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1. Given any line, there are at least two points on the line. Call them A and B.
2. Given any line, there exists at least one point in the plane that is not on the line. Call that point C.
3. Given any two points (A and C and, then B and C) there exists a straight line joining them.
The point C is not on AB so AB and AC are distinct. Similarly, AB and BC are distinct so that there are three lines that meet, in pairs, at three vertices - and that is a triangle.
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A diagonal separates the parallelogram into?
Two congruent triangles.. To prove it, use the SSS Postulate.
What is the donkey theorem?
When trying to prove two triangles congruent, you can use SSS, SAS, ASA, AAS, HL, and HA patterns. However, the pattern A S S doesn't work. Instead of spelling or saying this word in class, you can refer to it as "the donkey theorem". You can look at the pattern in the two triangles and say "these two triangles are not congruent because of the donkey theorem." You CANNOT prove triangles incongruent with 'the donkey theorem', nor can you prove them congruent. It's mostly sort of a joke, you could say, but it's never useful. The reason is that if the two triangles ARE congruent, then of course there will be an unincluded congruent angle as well as two congruent sides. The theorem doesn't do anything left, right, forward or backward. It's not even really a theorem. :P
It appears from the name of the HL Theorem that you actually need to know that only two parts of two triangles are congruent in order to prove two triangles congruent Is this the case?
No. You can know all three angles of both and all you can say is that the triangles are similar. Or with any pair of congruent sides you can have an acute angle between them or an obtuse angle.
Prove diagonals are equal in a rectangle?
Suppose ABCD is a rectangle.Consider the two triangles ABC and ABDAB = DC (opposite sides of a rectangle)BC is common to both trianglesand angle ABC = 90 deg = angle DCBTherefore, by SAS, the two triangles are congruent and so AC = BD.
What information do you need to know in order to prove the triangles are congruent?
That the sides are equal in length and the interior angles are the same sizes
Why can't you use AAA to prove two triangles congruent?
You can't use AAA to prove two triangles congruent because triangles can have the same measures of all its angles but be bigger or smaller, AAA could probably be used to prove two triangles are similar not congruent.
How can you use SSS with CPCTC?
You can prove that to triangles are congruent with SSS, then use CPCTC to prove that two corresponding angles of those triangles are congruent.
How many triangles in a triangle made up of 16 small triangles?
27, but you will have to prove it.
How would you prove triangles are congruent?
You could prove two triangles are congruent by measuring each side of both triangles, and all three angles of each triangle. If the lengths of the sides are the same, and so are the angles, then the triangles are congruent... if not, then the triangles are not congruent. If the triangles have the exact same size and shape then they are congruent.
What did the line spectrum prove the existence of?
the existence of released energy
Prove that the diagonals of rectangle are equal?
prove any two adjacent triangles as congruent
How do you prove triangles are congruent?
you measure all the sides
How do you prove triangles similer with variables?
The answer depends on what the variables are.
The LL theorem states that for right triangles two congruent what are sufficient to prove congruence of the triangles?
LEGS
How do you prove the existence of back EMF?
How do you proof of the existence of back emf ?
A diagonal separates the parallelogram into?
Two congruent triangles.. To prove it, use the SSS Postulate.
Which condition does not prove two triangles are congruent?
The colours of their sides.
