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Howard Geometry 4
Chapter 4 Geometry Vocabulary
| Question | Answer |
|---|---|
| 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. |