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Informal Geometry - Chapter 3

AB
TriangleA figure formed by three line segments
SidesThe line segments that form a figure
VertexThe point at which two line segments intersect
VerticesMore than one vertex
InteriorAll points inside a figure
ExteriorAll points outside a figure
Equilateral TriangleA triangle with all three sides of equal length
Isosceles TriangleA triangle with at least two sides of equal length
Scalene TriangleA triangle with no equal sides
Right TriangleA triangle with one right angle
Acute TriangleA triangle with three acute angles
Obtuse TriangleA triangle with one obtuse angle
Congruent TrianglesTriangles that have the same size & shape
Corresponding PartsA side or an angle of one triangle that is exactly the same size as a side or angle of another triangle
SSS PostulateIf 3 sides of one triangle are congruent with 3 sides of another, the triangles are congruent.
SAS PostulateIf two sides and the angle in between are congruent to corresp. parts of another triangle, they are congruent.
ASA PostulateIf two angles and the side in between are congruent to corresp. parts of another triangle, they are congruent.
LegsThe sides of a right triangle that form the rt. angle
HypotenuseThe side of a rt. triangle opposite the rt. angle
Pythagorean TheoremThe sum of the squares of the legs of a right triangle is equal to the square of the hyp.
Similar TrianglesTwo triangles with congruent angles & proportionate sides
Ratioa fraction; a comparison of two numbers
ProportionAn equation stating two ratios are equal
InequalityA statement that two expressions are not equal
Triangle Inequality TheoremThe sum of any two sides of a triangle is > the third side.

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