Abc's Of Triangle Research Paper

ABC’S OF GEOMETRY | By Parker Davis | January 2, 2012 | AA similarity | when two triangles have corresponding angles that are congruent as shown below, the triangles are similar | | AAS | if two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle, then these two triangles are congruent | | Acute angle | an angle with an angle measure less than 90° | | Acute triangle | a triangle where all three internal angles are acute | | Alt. exterior angles | alternate exterior angles are created where a transversal crosses two (usually parallel) lines. each pair of these angles is outside the parallel lines, and on opposite sides of the transversal. | | Alt. interior
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the corresponding angles are the ones at the same location at each intersection | | Diagonal | diagonal is a line segment connecting two non-adjacent vertices of a polygon | | Equiangular | a triangle which has all three interior angles equal (is always an equilateral triangle as well) | | Equilateral triangle | a triangle which has all sides of the same length (is always a equiangular triangle as well) | | Face | a face is a flat surface of a three-dimensional figure | | Geometry | a branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids | | HL | if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent | | Inverse statement | in an inverse statement, you negate both the condition and the conclusion |