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Triangle Congruence Naming
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Terms in this set (16)
Obtuse triangle
A triangle with one obtuse angle (an angle whose measure is over 90 degrees)
Acute triangle
A triangle with three acute angles (three angles whose measures are less than 90 degrees)
Right triangle
A triangle with one right angle (an angle whose measure is 90 degrees)
Equiangular triangle
A triangle with three congruent acute angles (three angles whose measures are each 60 degrees)
Equilateral triangle
A triangle with three congruent sides
Isosceles triangle
A triangle with two congruent sides
Scalene triangle
A triangle with no congruent sides
When classifying triangles by angle measures, the classifications are:
Acute triangle, Obtuse triangle, Right triangle, Equiangular triangle
When classifying triangles by side lengths, the classifications are:
Equilateral triangle, Isosceles triangle, Scalene triangle
In an equilateral triangle, how many (if any) angles are congruent?
All three!
In an isosceles triangle, how many (if any) angles are congruent?
Two!
In a scalene triangle, how many (if any) angles are congruent?
None!
The sum of the angle measures of a triangle is:
180 degrees
Third Angles Theorem
If two pairs of angles in one triangle are congruent to pairs of angles in another triangle, then the third pairs are also congruent.
External Angle Theorem
The Exterior angle is congruent to the sum of the opposite angles.
Interior Angles
The angles inside of the triangle that sum to 180 degrees.
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