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Ch4 Vocabulary
Triangle Vocabulary
| Term | Definition |
|---|---|
| Acute Triangle | A triangle where ALL angles are acute (less than 90 degrees) |
| Obtuse Triangle | A triangle where one angle is obtuse (greater than 90 degrees but less than 180 degrees) |
| Right Triangle | A triangle where one angle is right (EQUAL to 90 degrees) |
| Equilateral Triangle | A triangle where all sides are congruent |
| Scalene Triangle | A triangle where all three sides have different lengths |
| Isosceles Triangle | A triangle with two sides congruent |
| Base Angles | the two angles of an isosceles triangle formed by the base and one of the congruent sides (‘bottom angles’) |
| Vertex Angle | the angle of an isosceles triangle formed by the congruent sides (‘top angle’) |
| Isosceles Triangle Theorem | If two sides of a triangle are congruent, then the triangle is isosceles |
| Angle Sum Theorem (aka Triangle Theorem) | The sum of the measures of the interior angles of a triangle is 180 degrees |
| Exterior Angle | The angle formed outside of the triangle by extending one side of the triangle out of the triangle |
| Remote Interior Angles | The two interior angles of the triangle NOT ADJACENT (next to) the given exterior angle referenced |
| Exterior Angle Theorem | The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles |
| Flow Proof | A proof that organizes a series of statements in a logical order starting with given statements. Each statement following includes a reason verifying the statement |
| Corollary 4.1 | The acute angles of a right triangle are complementary (their sum is 90 degrees) |
| Congruent Triangles | Triangles that are the same size and shape |
| CPCTC | Two triangles are congruent if and only if (IFF) their corresponding parts are congruent – Corresponding Parts of Congruent Triangles are Congruent |
| Congruence Transformation | to slide, flip or turn a triangle and the size or shape doesn't change |
| Included Angle | The angle of a triangle BETWEEN the two given sides of the same triangle |
| Included Side | The side of a triangle BETWEEN the two given angles of the same triangle |
| Corollary 4.4 (Equilateral Triangle Angle Measures) | Each angle of an equilateral triangle measures 60 degrees |
Created by:
martha.kelley
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