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### Side-Side-Side

If all three sides of one triangle are congruent to all three sides of a second triangle, then the two triangles are congruent

### Side-Angle-Side

If two sides and the included angle of one triangle are congruent to two sides and the included side of a second triangle, then the two triangles are congruent

### Angle-Side-Angle

If two sides and the included angle of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent

### Triangle Sum Theorem

The sum of the measures of the interior angles of a triangle must add up to 180 degrees

### Third Angles Theorem

If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are also congruent

### Exterior Angles Theorem

The measure of the exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

### Exterior Angle Inequality

The measure of the exterior angle of a triangle is greater than the measure of either of the two remote interior angles

### Base Angles Theorem

If two sides of a triangle are congruent, then the angles opposite them are congruent

### Base Angles Theorem Converse

If two angles of a triangle are congruent, then the sides opposite them are congruent

### HL Congruence Theorem

If two lines are cut by a transversal such that the pairs of alternate interior angles are congruent, then the lines are parallel

### Midsegment Theorem

The segment connecting the mid points of two sides of a triangle is parallel to the third side and half its length