0
Why are triangles congruent that have three sides but the same is not true for triangles that have the same three angles?
Wiki User
∙ 10y ago
The same three sides also determine the angles uniquely. However, the same three angles do not uniquely determine the sides: they only determine the ratio between the sides. So, two triangles with the same angles can be of different size (similar triangles).
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
How many congruent sides and angles do equilateral triangles have?
Equilateral triangles have three congruent sides and three congruent angles
What are the properties of the different types of triangle?
There are three types of triangles. Equilateral triangles have three congruent sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the angles opposite those two sides are also congruent. Scalene triangles have no congruent sides or angles.
A type of triangle with no equal sides?
There are three types of triangles. Scalene triangles have no congruent sides or angles, equilateral triangles have 3 congruent sides and 3 60degree angles, and isosceles triangles have two congruent sides and two congruent angles.
What are all of the types of triangles?
There are three basic types of triangles. Equilateral triangles have three congruent (equal) sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the two angles opposite those sides are also congruent. Scalene triangles have no congruent sides or angles. Right triangles are another type of triangle and they have one ninety-degree angle. Right triangles can either be scalene or isosceles.
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.
How many congruent sides and angles do equilateral triangles have?
Equilateral triangles have three congruent sides and three congruent angles
What are the properties of the different types of triangle?
There are three types of triangles. Equilateral triangles have three congruent sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the angles opposite those two sides are also congruent. Scalene triangles have no congruent sides or angles.
A type of triangle with no equal sides?
There are three types of triangles. Scalene triangles have no congruent sides or angles, equilateral triangles have 3 congruent sides and 3 60degree angles, and isosceles triangles have two congruent sides and two congruent angles.
If two triangles have three pairs of congruent angles then the triangles are not guaranteed to be congruent?
Correct. Congruency means that two triangles have three pairs of congruent angles and corresponding sides of the same lengths. A pair of triangles with three pairs of congruent angles but sides of different lengths are similar, not congruent.
What are three types of triangles?
The three basic types of triangles are equilateral, isosceles, and scalene. An equilateral triangle has three congruent (equal) sides and three sixty-degree angles. An isosceles triangle has two congruent sides and the two angles opposite those sides are also congruent. A scalene triangle has no congruent sides or angles.
What are all of the types of triangles?
There are three basic types of triangles. Equilateral triangles have three congruent (equal) sides and three sixty-degree angles. Isosceles triangles have two congruent sides and the two angles opposite those sides are also congruent. Scalene triangles have no congruent sides or angles. Right triangles are another type of triangle and they have one ninety-degree angle. Right triangles can either be scalene or isosceles.
What are three ways that you can prove that triangles are congruent?
If triangles have the corresponding sides congruent then they are congruent. SSS If two triangles have two sides and an included angle congruent then they are congruent. SAS If two triangles have two angles and an included side congruent then they are congruent. ASA SSA doesn't work.
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.
If two triangles have three pairs of congruent angles are the triangles guaranteed to be congruent?
No- triangles with all angles respectively equal need not be congruent. For example, all equilateral triangles have 3 angles of 60 degrees each but the the sides could be any length. However the sides of such triangles are proportional - such triangles are called similar. They look alike except for their scale.
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.
What do you call a two sided triangle?
Triangles can't have two sides, but a triangle with three congruent sides is a equilateral or three congruent angles in a triangle is equilangular.
What shape has three different sized sides?
A three-sided shape is called a triangle. There are three types of triangles: equilateral triangles, iscosceles triangles, and scalene triangles. Equilateral triangles have all equal sides and angles; iscosceles triangles have two congruent legs and a base, and scalene triangles do not have any equal sides or angles.
