Angle Side Angle Triangle Congruence
(ASA)
Side Angle Side Triangle Congruence
(SAS)
Congruent Triangles
Congruent triangles are two triangles that have the same shape and same size. In two congruent triangles, the corresponding angles are equal and the corresponding sides are also equal.
(A triangle has six measurements that defines the triangle: 3 sides that each have a length associated with them, and three angles that have their own degrees. We must compare the six measurements from one triangle to a second triangle in order to determine if they are congruent to each other. When we do this, it is called "Matching Corresponding Congruent parts")
Corresponding Sides
Sides that are in the same position in any different 2-dimensional shapes
Corresponding Angles
Angles that are in the same position in any different 2-dimensional shapes
Reflexive
When something is congruent to itself
If given Perpendicular Lines, how many steps in a proof?
2 steps:
1) Name the right angles - perpendicular lines form right angles
2) Show the angles congruent- all right angles are congruent
Perpendicular Bisector
Forms right angles & divides a segment into 2 congruent parts
If given Perpendicular Bisector, how many steps in a proof?
3 steps:
1) Name the right angles - perpendicular lines form right angles
2) Show the angles congruent- all right angles are congruent
3)Show the sides congruent - perpendicular bisectors divide a segment into 2 congruent parts