Classifying Triangles
Triangle with all angles less than 90
Acute triangle
The sum of the angles of a triangle is 180
Angle Sum Theorem
Congruent triangles have the same _____________ and ____________
Size and Shape
The angle between two sides of a triangle
Included angle
Triangle with one right angle
Right Triangle
An angle formed by one side of a triangle and the extension of another side
Exterior angle
Two triangles are congruent iff their __________________ parts are ____________________
Corresponding parts are congruent
Triangle with at least two sides congruent
Isosceles
Triangle with one angle larger than 90
Obtuse Triangle
The measure of the exterior angle is equal to the sum of the ____________ ___________ ____________
Remote Interior Angles
Congruence transformations preserve ___________ and ______________
size and shape
The angle between the two congruent sides of an isosceles triangle
Vertex Angle
All equilateral triangles are also _______________
Equiangular
The acute angles of a right triangle are _________________
Complementary
The three congruence transformations
Flip, turn, slide
Two angles formed by the base and one leg of an isosceles triangle
Base angles
Triangle with all sides a different length
Scalene triangle
If two angles of one triangle are congruent to two angles of a second triangle then the _________ _____________ are ______________
Third Angles are Congruent
Third angle theorem
The four ways triangles can be congruent...
SSS, SAS, ASA, AAS
If two sides of a triangle are congruent, then the _______________ angles are _________________
Opposite angles are congruent