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23 terms

Ch.4 Terms

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acute triangle
a triangle whose interior angles are all acute
auxiliary line
line (or ray or segment) added to a diagram to help in a proof
base angles
the angles whose vertices are the endpoints of the base of the triangle
congruence transformation
Transformation that changes the position of the figure without changing its size or shape. Rotation, Translation or Reflection.
congruent polygons
polygons with same size and shape
coordinate proof
A proof involving placing geometric figures in a coordinate plane.
corollary
(logic) an inference that follows directly from the proof of another proposition
corresponding parts
Sides or angles that occupy the same relative positions in similar polygons.
equiangular triangle
A triangle with 3 congruent angles
equilateral triangle
a triangle with three congruent sides
exterior angle
An angle formed by one side of a polygon and the extension of an adjacent side
flow proof
a type of proof that uses arrows to show flow of a logical argument statements are connected by arrows to show how each statement comes before it. and each reason is written below the statement it justifies
included angle
An angle created by two adjacent sides
included side
the common side of two consecutive angles of a polygon
isosceles triangle
a triangle with two equal sides
obtuse triangle
a triangle that contains an obtuse interior angle
reflection
A transformation that "flips" a figure over a mirror or reflection line.
remote interior angles
the two nonadjacent interior angles corresponding to each exterior ange of a triangle
right triangle
a triangle with one right angle
rotation
(mathematics) a transformation in which the coordinate axes are rotated by a fixed angle about the origin
scalene triangle
a triangle with no two sides of equal length
translation
(mathematics) a transformation in which the origin of the coordinate system is moved to another position but the direction of each axis remains the same
vertex angle
the angle in a triangle opposite the base