Point, Lines, and Planes

Area of a Rectangle    A = lw

Perimeter   P=2l+2w

Pythagorean Theorem a² +b² = c²

Distance Formula d =

Midpoint Formula

Right Angle equals 90 degrees
Acute Angle is less than 90 degrees
Obtuse Angle is greater than 90 degrees

Adjacent Angle has same vertex and common side.

Vertical angles have common vertex and are formed by intersecting lines.
*Vertical angles are congruent*

Linear Pair are adjacent angles that form a line.

*Linear Pair equal 180 degrees*

Supplementary angles are two angles whose sum is 180 degrees.

Complentary angles are two angles whose sum is 90 degrees.

Perpendicular lines form 4 right angles.

Angle Bisector cuts an angle into two equal angles.

Example Problems

1. Find the perimeter and area of a rectangle 18 meters long
   and 12 meters wide.

2. Find the distance between the two points: (3,-1) and (-2,4).

3. Find the midpoint between the two points: (-6,2) and (8,3).

4. Find the hypotenuse of a triangle with sides 7 and 24.

5. Find x if Ð1 and Ð2 are complementary and  Ð1 = 3x-4 and
   Ð2 = x + 2.

6. Find x if Ð3 and Ð4 are supplementary and  Ð3 = 5x-8 and
   Ð4 = x + 2.

7. What type of angle is an angle who measure 120 degrees?

8. Find x If ÐABC bisects angles 1 and 2
                and Ð1 = 8x-2 and  Ð2 = 6x-8.