Geometry / Trigonometry
Terms
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- Scalene Triangle is
- a triangle with no congruent sides
- Isosceles Triangle
- atleast two congruent sides
- equilateral triangle
- three congruent sides
- congruent
- same number of degrees in two or more angles
- angle bisector of a triangle
- line that bisects an angle(forming two congruent sides) and extends to the other side of triangle
- median of a triangle
- line that extends from a vertex to the median of the other side in a triangle
- prependicular bisector
- a line that bisects the center of a line in a triangle and creates a right angle
- altitude
- line from a vertex that extends to create two right angles
- obtuse triangle
- altitude extends outside of triangle
- hypotenuse
- segment of a triangle opposite a vertex
- Axiom
- an assumption applicable to mathematics in general.
- Postulate
- an assumption that applies to a particular branch of mathematics, such as geometry.
- Axiom 1
- Things equal (or congruent) to the same or equal (or congruent) things are equal (or congruent) to each other.
- Axiom 2
- A quantity may be substituted for its equal in any expression or equation.(substitution axiom)
- Axiom 3
- The whole equals the sum of its parts.
- Axiom 4
- Any quantity equals (is equivalent to) itself.(identity)
- Axiom 5
- If equals are added to equals, the sums are equal.(Addition Axiom)
- Axiom 6
- If equals are subtracted from equals, the differences are equal. (Subtraction Axiom)
- Axiom 7
- If equals are multiplied by equals, the products are equal. Also, doubles of equals are equal. (Multiplication Axiom)
- Axiom 8
- If equals are divided by equals, the quotients are equal. Also halves of equals are equal. (Division Axiom)