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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


Which two reasons can be used to prove the Angle-Angle-Side Congruence Theorem?

The Angle-Angle-Side (AAS) Congruence Theorem can be proven using two main reasons: first, if two angles of one triangle are congruent to two angles of another triangle, the third angles must also be congruent due to the triangle sum theorem. Second, with an included side between these two angles, the two triangles can be shown to be congruent using the Side-Angle-Side (SAS) criterion, as both triangles share the same side and have two pairs of congruent angles.


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.


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.


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.


Nina has prepared the following two-column proof below. She is given that and angOLN and cong and angLNO and she is trying to prove that OL and cong ON. Triangle OLN where angle OLN is congruent to an?

To prove that ( OL \cong ON ), Nina can use the properties of isosceles triangles. Given that ( \angle OLN \cong \angle LNO ) and ( \triangle OLN ) has these equal angles, by the Isosceles Triangle Theorem, the sides opposite those angles must be congruent. Therefore, ( OL \cong ON ) follows from the fact that the angles are congruent.


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.