what are the 7 classifications of triangles( SAS, SSS,etc.) and 5 triangle congruence postulates?
i got the answer thanks for NOBODY's help..
its obtuse scalane, etc. and the other one is SAS SSS AAA
The seven classifications of triangles are based on the lengths of their sides and the measures of their angles. These classifications are as follows:
1. Equilateral Triangle: This is a triangle with three equal sides and three equal angles measuring 60 degrees each.
2. Isosceles Triangle: An isosceles triangle has two sides of equal length and two angles of equal measure.
3. Scalene Triangle: A scalene triangle has three unequal sides, meaning none of the side lengths are the same.
4. Acute Triangle: In an acute triangle, all three angles are less than 90 degrees.
5. Right Triangle: A right triangle contains one right angle, which measures exactly 90 degrees.
6. Obtuse Triangle: An obtuse triangle has one angle that is greater than 90 degrees.
7. Degenerate Triangle: In a degenerate triangle, all three vertices are collinear, meaning the triangle has zero area.
Now, let's move on to the five triangle congruence postulates:
1. Side-Angle-Side (SAS) Congruence: If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
2. Side-Side-Side (SSS) Congruence: If all three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.
3. Angle-Side-Angle (ASA) Congruence: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
4. Angle-Angle-Side (AAS) Congruence: If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
5. Hypotenuse-Leg (HL) Congruence: If the hypotenuse and one leg of a right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.