MATH-UA 121 Lecture Notes - Lecture 7: Bisection, Angle, Hypotenuse

• School: New York University
• Department: Math
• Course: MATH-UA 121
• Professor: Niu Xiaodong

Document Summary

If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent. If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent. If two triangles have right triangles, congruent hypotenuses and one pair of congruent legs, then they are congruent. To use in a proof, it most be shown that: Both triangles contain a right angle [r] A right triangle is a triangle which contains a right angle. The hypotenuse of a right triangle is the side opposite the right angle. A leg of the right triangle is a side adjacent to the right angle. If 2 angles are congruent and supplementary, then they are right angles. If 2 lines intersect to form congruent adjacent angles, then they are perpendicular. If a point is equidistant from the endpoints of a segment, then the point lies on the perpendicular bisector of the segment.