Algebra: Chapter 10-10, p 469
Complex Rational Expressions
To simplify a complex rational expression, multiply the numerator and denominator by an expression equivalent to 1. The expression selected should use the least common multiple of any denominator found in the numerator or denominator of the complex rational expression. Here is a link from purplemath with examples.
Math-8, Chapter 11-3, p 561
Angle Relationships and Parallel Lines
Make sure you know the following definitions:
- Vertical angles – When 2 lines intersect, they form 2 pairs of “opposite” angles called vertical angles
- Congruent – angles with the same measure
- Adjacent angles – when 2 angles have the same vertex, share a common side and do not overlap, they are adjacent
- Complementary angles – the sum of the 2 angles is 90°.
- Supplementary angles – the sun of the 2 angles is 180°.
- Transversal – 2 parallel lines are intersected by a 3rd line called a transversal
- Alternate interior angles – are non adjacent interior angles found on opposite sides of the transversal
- Alternate exterior angles – are non adjacent exterior angles found on opposite sides of the transversal
- Corresponding angles – are angles that have the same position on 2 different parallel lines cut by a transversal
Remember, corresponding angles are congruent, alternate interior angles are congruent and alternate exterior angles are also congruent.