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How many congruent sides and angles do equilateral triangles have?
Equilateral triangles have three congruent sides and three congruent angles
If two triangles have three pairs of congruent angles, then the triangles are guaranteed to be congruent?
false
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.
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.
What are triangles that have three congruent sides?
Equilaterals
How many congruent sides and angles do equilateral triangles have?
Equilateral triangles have three congruent sides and three congruent angles
If two triangles have three pairs of congruent angles then are the triangles guaranteed to be congruent?
false
If two triangles have three pairs of congruent angles, then the triangles are guaranteed to be congruent?
false
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 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.
How many parts of equilateral triangles are congruent?
Three are congruent.
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.
Why are congruent triangles similar?
Congruent triangles are the same because all three sides measure the same length.
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 are triangles that have three congruent sides?
Equilaterals
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.
