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A diagonal forms two non-congruent triangles?

False. A diagonal of a parallelogram produces 2 congruent triangles


How many triangles inside an octagon?

An octagon can be divided into triangles by drawing diagonals from one vertex to all non-adjacent vertices. Specifically, an octagon has 8 sides, and the number of triangles that can be formed from its vertices is calculated using the formula for combinations: ( \binom{n}{3} ), where ( n ) is the number of vertices. For an octagon, this gives ( \binom{8}{3} = 56 ) triangles. Therefore, there are 56 unique triangles that can be formed using the vertices of an octagon.


What postulate or theorem verifies the congruence of triangles?

sssThere are five methods for proving the congruence of triangles. In SSS, you prove that all three sides of two triangles are congruent to each other. In SAS, if two sides of the triangles and the angle between them are congruent, then the triangles are congruent. In ASA, if two angles of the triangles and the side between them are congruent, then the triangles are congruent. In AAS, if two angles and one of the non-included sides of two triangles are congruent, then the triangles are congruent. In HL, which only applies to right triangles, if the hypotenuse and one leg of the two triangles are congruent, then the triangles are congruent.


How many non congruent right triangles can you make on a 7 by 7 geo board?

17


Courtney wants to find how many triangles she can make by drawing a diagonals from one vertex of a regular octagon to all non-adjacent vertices How many triangles can she form?

As many as she wants.


Can two non congruent triangles have equal areas?

Yes


What shape has a diagonal that forms 2 non congruent triangles?

A trapezoid.


Can you construct two non congruent triangles using SSS?

Yes, easily.


If two angles and a nonincluded side of one triangle are comgurent to the corresponding two angles and side of another then the triangles are congruent?

Yes, if two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another triangle, then the triangles are congruent by the Angle-Angle-Side (AAS) postulate. This postulate states that if two angles and a side that is not between them are congruent in two triangles, the triangles must be identical in shape and size. Therefore, the triangles are congruent.


What does non congruent mean?

In geometry two figures are congruent if they have the same shape and size if they are non congruent they do not have the same shape and size two triangles are congruent if their corresponding sides are all equal in lengh and their corresponding angles are equal in size


Why is there not an angle angle angle theroem?

Because angle angle angle does not necessarily give rise to congruent triangles - they can be similar, but non-congruent.


If two angles and a non-included side of one triangle are congruent to the corresponding two angles and side of another then the triangles are congruent?

Yes, they are.