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# Howard Geometry 4

### Chapter 4 Geometry Vocabulary

Equiangular A triangle has three congruent angles.
Scalene A triangle has no congruent sides.
Right A triangle has one right angle.
Centroid The point at which the medians of a triangle intersect.
Leg (right) The two sides of a right triangle that make up the right angle.
Median of a Triangle A segment from a vertex of a triangle to the midpoint of its opposite side.
Isosceles Triangle A triangle has two congruent angles.
Vertex of a Triangle A point that joins two sides of a triangle.
Base The non-congruent side of an isosceles triangle.
Hypotenuse The side on a right triangle opposite of the right angle.
Corollary A statement that can be easily proven by using a theorem.
Triangle A figure formed by three segments joining three non-collinear points.
Equilateral A triangle with three congruent sides.
Acute A triangle with three acute angles.
Obtuse A triangle with one obtuse angle.
Pythagorean Theorem The formula used to find a missing side of a right triangle.
180 degrees The sum of the measures of the interior angles of a triangle.
Interior Angle The triangle on the inside of a polygon.
Exterior Angle The angle formed on the outside of a polygon made by extending the side to form a ray.
Leg (isosceles) The two sides that are congruent in an isosceles triangle.
Base Angles The two congruent angles in an isosceles triangle that are formed between a leg and a base.
Exterior Angles Theorem The exterior angle is the sum of the two non-adjacent interior angles.
Base Angles Theorem If two sides of a triangle are congruent, then the angles opposite them are congruent.
Base Angles Converse If two angles of a triangle are congruent, then the sides opposite them are congruent.
Equilateral Theorem Equilateral triangles are equiangular.
Equiangular Theorem Equiangular triangles are equilateral.
Distance Formula The distance between two points using Pythagorean Theorem.
Intersections of Medians of a Triangle The centroid divides the triangle into 1/3 and 2/3 sections.
Theorem 4.10 Bigger angles are opposite from bigger sides.
Theorem 4.11 Bigger sides are opposite from bigger angles.
Theorem 4.12 The sum of the lengths of any two sides of a triangle must be greater than the third.
Created by: HowardGeometry