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Angle Relationships
Pre-Algebra
| Term | Definition |
|---|---|
| Vertical Angles | Angles that are across from each other. They are congruent or "equal" or "the same measure" |
| Adjacent Angles | Two angles that share a common vertex and side. They are next to each other. |
| Complementary Angles | Sum to 90 degrees |
| Supplementary Angles | Sum to 180 degrees |
| Parallel Lines | Two lines that never intersect. |
| Transversals | A line that intersect two or more lines. |
| Corresponding Angles | are in the same position on the parallel lines in relation to the transversal. These angles are always congruent or the "same measure" |
| Alternate interior Angles | are inside the parallel lines and on opposite sides of the transversal. These angles are always congruent or the "same measure". |
| Alternate Exterior Angles | are outside the parallel lines and on opposite sides of the transversal. These angles are always congruent or the "same measure". |
| Consecutive Interior Angles | are on the same side of the transversal and inside the parallel lines. these angles are always supplementary or sum to 180 degrees. |
| Triangle Sum Theorem | This theorem states that the sum of the measure of the three interior angles of a triangle is always 180 degrees. |
| Exterior Angle Theorem | This theorem states that the sum of the two remote interior angles of a triangle will always be equal to the exterior angle of the triangle. |
| Acute Triangle | All angles of a triangle are less than 90 degrees |
| Obtuse Triangle | One angle of a triangle is more than 90 degrees |
| Right Triangle | One angle of a triangle is equal to 90 degrees |
| Scalene Triangle | No Congruent Sides or no equal sides of a triangle. |
| Isosceles Triangle | Two congruent sides and two congruent angles of a triangle. Congruent means "equal to". |
| Equilateral / Equiangular Triangle | All Sides and all angles are congruent. The angles all equal 60 degrees. |