Triangles

Triangles

1. 3 Types:

   • Scalene
     • All sides are different
   • Equilateral
     • All sides are equal
   • Isoceles
     • Two sides are the same

2. Pythagorean Theorem

   • a^2+b^2=c^2

3. Right Triangle Congruency

   • If the hypotenuse and leg of one right triangle are congruent to corresponding parts of another right triangle, they are congruent.

4. Base Angles Congruent (Isosceles)

   • Theorem: If two sides of a triangle are congruent, the angles opposite them are congruent. Theorem: If two angles of a triangle are congruent, the sides opposite them are congruent.

5. Triangle Midsegment Theorem

   • In a triangle, the segment joining the midpoints of any two sides will be parallel to the third side and half its length.

6. Proportions/ Side Splitter Theorem

   • Theorem: The side splitter theorem states that if a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally. It happens any time that a pair of parallel lines intersect a triangle.