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How does sas theorem answer?

The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.


What is the pytharorean theorem?

the Pythagorean theorem is the following:a2 + b2 = c2So for example:then you will solve for whatever side you are searching forbut for this theorem to work it must be a right triangle! and "c" must be the side across from the right angle


Is this statement true or falseTo prove triangles similar using the Side-Side-Side Similarity Theorem, you must first prove that corresponding angles are congruent?

false


Prove that a group of order 5 must be cyclic?

There's a theorem to the effect that every group of prime order is cyclic. Since 5 is prime, the assertion in the question follows from the said theorem.


Why vertical angles must always be congruent?

Because if they werent, they would eventually form an angle.


To use the HL Theorem to prove two triangles are congruent the triangles must be right triangles. Which other conditions must also be met?

The two legs must be corresponding sides.


What is the thirty degree sixty and degree right triangle theorem?

If the triangle has a 30 degree angle and a 60 degree angle then the 3rd angle must be a 90 degree angle because there are 180 degrees in a triangle and so therefore it is a right angle triangle.


How do you prove triangles similar?

To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.


Did Pythagoras prove his own Theorem?

Yes, he must have proved his own Theorem otherwise it would not have been adopted by mathematicians across the globe. I'm sure you could test out the theorem: check whether c2 really does equal b2 + a2 in a manual measurement of a triangle; though this is less accurate and not as precise as the Theorem.


What type of statement must be PROVEN in geometry?

That is a theorem.A theorem.


What is the figure and the pythagorean theorem formula for a equals 8 b equals 6 and what is c?

For the right angle triangle to comply with Pythagoras' theorem then c, which will be the hypotenuse, must be 10 units in length. Pythagoras' theorem: 82+62 = 100 and the square root of this is 10 which is the length of the hypotenuse.


What measure of angle a will make triangle abc similar to triangle fde?

Corresponding angles must be equal; in this case, that would be angle f. To prove that the two triangles are equal, you would have to prove that at least another pair of angles is also equal, for example, angle b equal to angle d. Or prove some other facts, like the ratio between certain corresponding sides.