Chapter 4 Flashcards
Isosceles Trianglen
Two congruent sides
Scalene triangle
No congruent sides
Equilateral Triangle
All sides congruent
Isosceles Vocab (vertex)
Angle created by 2 legs
Legs
2 congruent sides in isosceles triangles
Base
Non-congruent side of isosceles triangle
Base angles
Two angles adjacent to the base
Acute
Less than 90
Obtuse
One angle greater than 90
Equilateral
All angles congruent must be acute and all 60
Right
Only one right angle
What happens when you extend 3 sides of a triangles
It creates exterior angles the exterior angles form linear pairs w/ interior angles vertical angles don’t count
Triangle sum corollary
The sum of the acute angles in a right triangle is 90
Corollary
Extension of postulate and theorem
Remote interior angles
2 interior angle not adjacent to exterior angle
Exterior angle theorem
The measure of an exterior angle equals the sum of the remote interior angles
Third angle theorem
If 2 angles of a triangle are congruent to 2 angles of another triangle, the 3rd angles are always congruent
Base angle theorem
2 sides of a triangle are congruent, the angles opposite are congruent
Congruent Triangles have….
The same size and shape orientation doesn’t matter
CPCTC stands for what?
Corresponding parts of congruent triangles are congruent
Reflexive Property of Congruent Triangles
Symmetric Property of Congruent Triangles
Transitive Property of congruent triangles
If
Vertex angle
Angle created by 2 sides