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Level 126

Theorems for Triangle Proofs


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Segment Bisector
A segment that divides another segment into two congruent pieces.
Reflexive Property
Anything equals itself; a shared piece.
Perpendicular lines
lines in a plane that intersect to form 4 right angles
corresponding angles
Angles that have the same relative positions in geometric figures.
alternate interior angles
Angles that lie within a pair of parallel lines and on opposite sides of a transversal; congruent
Same Side (Consecutive) Interior Angles
Angles that are on the same side of a transversal and on the interior of two parallel lines; supplementary.
Magnitude
The number of degrees a regular polygon can be rotated to map onto itself.
Order
The number of times a regular polygon can be rotated to map onto itself in one full rotation.
SSS- side side side
If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
SAS- side angle side
If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent
ASA - angle side angle
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent
AAS- Angle Angle Side
If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Isosceles Triangle Theorem
If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
Converse isosceles theorem
if two angles of a triangle are congruent then the sides opposite those angles are congruent