Classifying Triangles
Triangle with no equal sides or angles
Scalene
In
⃤ DEF ≅ ⃤ DSR, side RD corresponds to which side?
In a right triangle, if the longest leg and another leg of one triangle corresponds to the longest leg and another leg of another triangle, what do you call this congruence theorem?
HL
It states that the sum of the squares of the legs of a right triangle equals the square of the hypotenuse of a right triangle.
Pythagorean Theorem
Has two congruent sides called legs.
Isosceles Triangle
Triangle with two equal sides
Isosceles
In
⃤ DEF ≅ ⃤ DSR, side ED corresponds to which side?
SD
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
SAS
The sum of the two acute angles in a right triangle.
90 degrees
All three sides are congruent.
Equilateral Triangle
All sides and angles are equal.
Equilateral
When two lines intersect, the opposite angles are equal to each other.
vertical angles
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
ASA
The two sides of a right triangle that form the 90 degree angle.
legs
All three angles equal 60 degrees.
Equiangular
Has an angle whose measurement is greater then 90 degrees.
Obtuse
In
⃤ DEF ≅ ⃤ DSR, angle F corresponds to which angle?
angle R
If two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle, then these two triangles are congruent.
AAS
What congruence theorem can we use on a right triangle?
Hypotenuse-Leg Theorem
The non congruent side of an isosceles triangle.
base
Two angles have the same measure and all angles measure less than 90 degrees.
Acute Isosceles
In
⃤ LMK ≅ ⃤ ABC, side KL corresponds to which side?
Side CA
If three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.
SSS
Besides one angle, you need this number of sides to prove a right triangle congruent?
2
The point where two congruent legs come together.
Vertex Angle