Math Vocab
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Terms
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- Triangle Rigidity
- If the side lengths are given there is only one specific shape
- Acute Triangles
- All angles are less than 60 degrees
- Corollary
- The theorem that follows right after another theorem
- Inductive reasoning
- based on a pattern
- Theorem
- Any statement you can prove
- Interior
- the set of all inside points
- Alternate exterior angles
- Angles that lie on the opposite side of the transversal outside the parallel lines
- Included side
- A common side of two executive angles
- Corresponding angles Postulate
- If two parallel lines are cut by a transversal then the pairs of corresponding angles are congruent.
- Exterior angle
- An outside angle
- Parallel sides Theorem
- If 2 lines have the same slope than there parallel.
- Base
- bottom of a triangle
- CPCTC
- Corresponding parts of congruent triangles are congruent
- Same-side interior angles
- Angles that lie on the same side of the transversal between the parallel lines
- Parallel planes
- planes that never interect
- Equiangular Triangle
- All the angles are congruent
- Interior angle
- An inside angle
- two angles
- If two angles of one triangle are congruent to two angles of another triangle then the 3rd angles is congruent
- Alternate interior angles
- Non-adjacent angles that lie on opposite sides of the transveral between the lines
- Isosceles Triangle
- two sides and two angles of a triangle are congruent
- Counter example
- Disproving conjecture
- Remote intirior angle
- An interior angle that is not adjacent to the extirior angle
- Included Angle
- An angle created by two adjacent sides
- Skew lines
- lines that are not parallel but never intersect
- Alternate Extirior angles theorem
- if two parallel lines are but by a transversal then the alternate interior lines angles are congruent.
- Corresponding angles
- Angles that are congruent
- Transversal
- A line that intersects two parallel coplanar lines
- Perpendicular bisector
- a line perpendicular to a segment at the it's midpoint
- Perpendicular Lines Theorem
- in a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Verical and horisantal lines are perpendicular
- Scalene Triangle
- All the measures of the sides are different
- Right angle
- An angle that is exactly 90 degrees
- Conjecture
- educated guess coming from inductive reasoning
- Rise
- the difference in the y values on 2 points on the line
- Triangle Sum theorem
- The sum of all the angle measures of a triangle is 180 degrees
- Same side intirior angles
- if two parallel lines are but by a transversal then the same side interior angles are supplementary.
- Vertex
- The angle formed by two legs
- Point slope form
- y-y=m(x-x)
- Auxiliary lines
- a line that is added in aid of a proof
- Right Triangle
- One of the angles on a triangle is equal to 90
- Acute angles of a right triangle
- The acute angles of a right triangle that are complimentary
- Coordinate Proof
- A style of proof that uses geometry and algebra
- Corresponding Angles
- Angles that lie on opposite sides of the transveral (aaah idk!)
- Slope intercept form
- y=mx+b
- Equilateral Triangle
- When all the angle measures in an equalateral triangle are 60 degrees
- Deductive Reasoning
- Using logic to draw conclusions from given facts
- Slope
- the ratio of rise to run (y-y) over (x-x) equation: y1 - y2 ove x1 - x2
- Run
- the difference in the x values on 2points on the line
- Legs of an isosceles
- congruent sides in a isosceles triangle
- Corresponding sides
- sides that are congruent
- Parallel lines
- Coplanar lines that never intersect
- Obtuse triangle
- One of the angles in a triangle is larger than 90 degrees
- Exterior angles
- the measure of an exterior angle of a triangle is equal to the sum of the measures of its remote intirior angles