a triangle with three congruent sides
A triangle with at least two congruent sides
a triangle with no congruent sides
A triangle with three acute angles
a triangle where all the angle measurements are the same
a triangle with 1 right angle
a triangle with 1 obtuse angle
Legs of a right triangle
sides that form the right angle
the longest side of a right triangle
legs of an isosceles triangle
In an isosceles triangle, the two congruent sides.
base of an isosceles triangle
in an isosceles triangle, the non-congruent side.
A statement that follows immediately from a theorem
angles that are in the same position on two different triangles
sides that are in the same position on two different triangles
in an isosceles triangle, the angles adjacent to the base
Triangle Sum Theorem
The theorem that states that the measures of the angles in a triangle add up to 180 degrees.
Third Angle Theorem
If 2 angles of 1 triangle are congruent to 2 angles of a second triangle then the third angles of the triangles are congruent
Two triangles are congruent if all 3 sets of corresponding sides are congruent.
Two triangles are congruent if 2 sets of corresponding sides and their included angles are congruent.
Two triangles are congruent if 2 sets of corresponding angles and one set on non-included sides are congruent.
Two triangles are congruent if 2 sets of corresponding angles and their included side are congruent.
If you use a congruence shortcut, (SSS,SAS,ASA,AAS) to show that 2 triangles are congruent, then you can use this to show that any of their corresponding parts are congruent
Base Angles Theorem
if two sides of a triangle are congruent, then the angles opposite them are congruent
Converse of the Base Angles Theorem
If two angles of a triangle are congruent, then the sides opposite them are congruent.
2 right trianles are congruent if their hypotenuses and a set of corresponding legs are congruent.