Triangle Basics.

Triangle Basics.

1. Vertical angles are congruent.

2. A linear pair equals 180 degrees

3. Complementary angles equal 90 degrees

4. All triangles equal 180 degrees

5. Adjacent angles share a vertex and side

6. Exterior Angle Theorem- the angle that is outside of the triangle

7. Triangle Mid-segment Theorem- a line segment that goes between two other line segments

8. Equiangular- all angles are equal

9. Bisector- a line that cuts an object into two parts

10. Side Splitter Theorem- a line that is parallel and intersects two sides evenly

11. Special right triangles- " is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist"

    • They are special because right triangles are angle based and special right triangles are side based.

12. Angle Addition Postulate- when two triangle are put beside each other, the measure of the resulting angle will be congruent to the sum of the two original angles

13. ASA Postulate- Angle, Side, Angle; If two angles and a side are congruent on two triangles, the triangles are congruent.

14. SSS Postulate- Side, Side, Side; If three sides of a triangle are equivalent to the others, they are congruent.

15. Transversal- A line that passes through two other lines at two different intersection points

16. AAS Postulate- Angle, Angle, Side; If two angles and a side are congruent on one triangle and the same on another, the triangles are congruent.

17. SAS Postulate- Side, Angle, Side; If two sides and an angle are congruent to the corresponding side of the other triangles, they are congruent.

18. Alternative Interior- Two lines area crossed by another (transversal), the two pairs of angles that are on opposite sides of the transversal and are inside of the two lines

19. Alternative Exterior- Two lines area crossed by another (transversal), the two pairs of angles that are on opposite sides of the transversal and are outside of the two lines

20. Hypotenuse-leg theorem- A theorem that states that two right triangles are congruent if their hypotenuse and corresponding leg are congruent