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Math 1250
Review
| Question | Answer |
|---|---|
| axiom | Euclid - common notions about arithmetic |
| lines either _______ or are __________ | Lines either intersect or they are parallel |
| Ray | Half a line with one endpoint included |
| Line Segment | A piece of line joining two point (and including the point) |
| Parallel lines | Lines that lie on the same plane and have NO points in common |
| Intersecting lines | Two lines lying on the same plane - they have a single point in common |
| Two rays with a common endpoint | Angle |
| Vertex of angle | point where two rays meet |
| Acute angle | An angle whose measure is between 0 & 90 degrees |
| Right angle | measures 90 degrees |
| Obtuse angle | measure between 90 and 180 degrees |
| "fat" or obese angle | Obtuse - bigger than 90 with "belly" hanging over |
| Straight angle | Horizon line is example - 180 degrees |
| Reflex angle | Larger than 180 degrees - to 360 degrees |
| Vertical angles | Pair of non-adjacent angles - formed by the intersection of two lines |
| Corresponding angles | Formed by transversal cutting through two parallel lines - have equal measures |
| Alternate interior angles | Have equal measures |
| Circle | the set of all points lying on a plane that are located |
| Radius | (blank) |
| Circle | A line forming a closed loop, every point on which is a fixed distance from a center point |
| Radius | The radius is the distance from the center to any point on the circle. It is half the diameter |
| Diameter | The distance across the circle. The length of any chord passing through the center. It is twice the radius |
| Circumference | The circumference is the distance around the circle. |
| Acute angle | Less than 90 degrees (little or "cute") |
| complementary angles | a pair of angles who, added together, are 90 degrees |
| "It's right to give compliments" | Remember that complementary angles equal one acute angle or 90 degree angle |
| Supplementary angles | Two angles, when added together, equal 180 degrees |
| If an angle measures x to zero degrees, represent its complement algebraically | Use "x" for one angle and "90-x" for the other angle; together they must add up to 90 degrees total |
| If an angle measures x to zero degrees, represent three times its complement algebraically | 3(90-x) |
| Write algebraic expressions to find the degree of measure of two supplementary angles | use "x" for smaller angle and "180-x" for larger angle |
| Use algebra to find measure of angles of traingle where only one angle measure is known | Use "180 - x - 30" for angle B, then 150 - x = measure of angle C (see Dug. p. 115) |