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What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
How many triangles can a 20-gon be made into?
20 isosceles triangles with each base being a side of the 20-gon, and the opposite vertices at the center of the polygon.
What is pythagreom theroem?
it is used in triangles and it is a2 + b2 = c2a being the short legb being the long legc being the hypotenuse
Can any two triangles be joined to make a rhombus?
No. A rhombus has all four sides of equal length. To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work. Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles. If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
DoTriangles have a 90-degree angle?
No. A triangle may have a 90-degree angle, but not all triangles do. The only requirement for being called a triangle is that it is a closed figure with 3 sides.No. A triangle may have a 90-degree angle, but not all triangles do. The only requirement for being called a triangle is that it is a closed figure with 3 sides.No. A triangle may have a 90-degree angle, but not all triangles do. The only requirement for being called a triangle is that it is a closed figure with 3 sides.No. A triangle may have a 90-degree angle, but not all triangles do. The only requirement for being called a triangle is that it is a closed figure with 3 sides.
Which postulate identifies these triangles as being simliar?
To determine if triangles are similar, we typically use the Angle-Angle (AA) postulate, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. Additionally, the Side-Angle-Side (SAS) similarity postulate and the Side-Side-Side (SSS) similarity postulate can also be used, but AA is the most common and straightforward criterion.
Is it possible for two triangles to have two pairs of sides that are proportional without the triangles being similar?
Yes. You can even have two triangles with two pairs of sides that are the SAME measure without the triangles being similar.
Is all obtuse triangles similar?
Yes, all obtuse triangles are similar if they have the same angles. This is because similarity in triangles depends on the corresponding angles being equal. However, obtuse triangles can vary in size, so while they can be similar, not all obtuse triangles are similar unless their angles are exactly the same.
Can you use the SSS Postulate or the SAS Postulate to prove mc026-2.jpg and mc026-3.jpg are congruent?
To determine if you can use the SSS (Side-Side-Side) Postulate or the SAS (Side-Angle-Side) Postulate to prove that the triangles mc026-2.jpg and mc026-3.jpg are congruent, you need to analyze the given triangles' sides and angles. If you have information about all three corresponding sides being equal, you can use the SSS Postulate. Conversely, if you have two sides and the included angle of one triangle equal to the corresponding two sides and included angle of the other triangle, then the SAS Postulate applies. Without additional context or specific measurements from the images, it's impossible to definitively state which postulate can be used.
What is the factor being tested in an experiment?
Hypothesis or postulate .
What is the factor being tested in the experiment?
Hypothesis or postulate .
Where does the formula for the sum of interior angles of a polygon come from?
Euclid parallel postulate can be interpreted as being equivalent to the sum of the angles of a [plane] triangle being 180 degrees. It is quite easy to prove that a polygon with n sides can be divided into n triangles. Putting the two together, you get the formula for the sum of the interior angles of a polygon.
What the forgetful professor said about the letter he forgot to mail?
postulate!... this is a "play on word" mathematical riddle... a postulate is really a geometric term, but it is being used as "post you late."
Can postulate become a canon in episcopal church before being ordained to the priesthood?
No.
What you the difference between a postulate and a theorem?
A postulate is something that is accepted as true without proof. A theorem, on the other hand, is something that has been proven and is now being accepted as true.
Do all triangles have right angles?
No. Only right triangles do, and not all triangles can be right triangles. Equilateral triangles, for example, are always 60°-60°-60°. Isosceles and scalene triangles can be right triangles; all isosceles triangles have the additional useful property of being able to be split into two right triangles.
What are necessary when proving that the opposite sides of a parallelogram are congruent?
A. Corresponding parts of similar triangles are similar.B. Alternate interior angles are supplementary.C. Alternate interior angles are congruent.D. Corresponding parts of congruent triangles are congruent
