A triangle the has three conruent angles. Each angle measures 60^{o}
What are interior angles in a triangle?
The angles inside of a triangle
What are exterior angles in a triangle?
The angles that are outside of the triangle. They are linear pairs to the sides of the triangle.
What is the sum of the angles in a triangle?
180^{o}
What is the exterior angle theorem?
The measure of an exterior angle is equal to the sum of the angles that it is not next to.
What is a congruent shape?
A figure with the same size and same shape. All corresponding sides and angles are congruent.
What do you have to do in a congruence statement?
Make sure that sll of the letters correspond to each other. It matters!
What is the Side-Side-SIde postulate (SSS)?
A postulate that proves triangles congruent. This means that all three sides are congruent.
What is the Side-Angle-Side (SAS) Postulate?
A postulate that proves triangles congruent. This means that two sides and the angle between them are congruent.
What is the Hypotnuse-Leg (HL) theorem?
A theorem used to describe how right triangles can be congruent. To prove this, you must have the hypotnuses of the triangles congruent, any leg of the two triangles congruent, and the triangle must be a right triangle.
What is the Angle-Side-Angle (ASA) postulate?
A postulate the proves triagles congruent. This means that two angles are congruent as well as the side between them.
What is the Angle-Angle-Side (AAS) theorem?
A theorem that proves triangles congruent. This means that two sets of corresponding angles are congruent, as well as a side that is not between the angles.
What does corresponding parts of congruent triangles are congruent mean?
It means that the corresponding pasrts in a congruent triangle are congruent by definition of a congruent triangle. It can be used to prove more things.
What are the legs of an isosceles triangle?
The equal sides of the triangle.
What is the base of an isosceles triangle?
The non-congruent side of the triangle.
What is the vertex angle in an isosceles triangle?
The angle that is formed by the legs.
What are the base angles in an isosceles triangle?
The angles that are adjacent to the base.
What is the base angles theorem?
The angles opposite the congruent legs of an isosceles triangle are also congruent
What is the converse of the base angles theorem?
The sides opposite the congruent base angles are also congruent.
What is the corollary to the Base Angles Theorem?
If a triangle is equilateral, then it is also equiangular.
Author
MoonRacer
ID
156718
Card Set
Geometry Congruent Triangles
Description
Review of Congruent Triangles for the Geometry Regents exam. Have some pen and paper in order draw and understand the material better.