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Geometry: Unit two
| Question | Answer |
|---|---|
| A triangle with no equal sides | Scalene Triangle |
| A triangle with two equal sides | Isosceles Triangle |
| A triangle with all equal sides | Equilateral Triangle |
| A trianlge thats angles are all less than 90 degrees | Acute Triangle |
| A trianlge that has one right angle | Right Triangle |
| A trianlge thats angles are all equal | Equiangular Triangle |
| A trianlge that has one obtuse angle | Obtuse Triangle |
| In a triangle the sum of the interior angles is 180 degrees (Theorum) | Triangle Sum Theorum |
| In a triangle, angles opposite equal sides are also equal (Theorum) | Base Angles Theorum |
| If a triangle is eqilateral , it is also equelangular (Theorum) | Corollary to the Base Angles Theorum |
| An exterior angle is equal to the sum of the remote interior angles (Theorum) | Exterior Angle Theorum |
| Matching side or vertex with a side or vertex of another shape | Corresponding Part |
| Polygons that are the same shape (congruent angles) and same size (congruent sides | Congruent Polygons |
| If two pairs of corresponding angles are congruent in a triangle, than the third pair is congruent (Theorum) | Third Angles Theorum |
| Triangles with the same shape and same size | Congruent Triangles |
| A triangle has 2 pairs of congruent sides and the included angle is congruent (Theorum) | Side-Angle-Side (SAS) Congruence Theorum |
| All three pairs of corresponding sides of a triangle are congruent (Theorum) | Side-Side-Side (SSS) Congruence Theorum |
| In a RIGHT TRIANGLE the pair of hypotonuse is congruent and two pairs of legs are congruent (Theorum) | Hypotenuse-Leg (HL) Congruence Theorum |
| Two pairs of congruent angles and included side is congruent (Theorum) | Angle-Side-Angle (ASA) Congruence Theorum |
| If two pairs of congruent angles then the non included side is congruent (Theorum) | Angle-Angle-Side (AAS) Congruence Theorum |
| Ordering of side lengths in a triangle (explain) | The longest side is opposite the largest angle, and the shortest side is opposite the smallest angle. |
| Ordering of measures in a triangle (explain) | The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side. |
| a^2+b^2=c^2 | Pythagorean Theorem |
| c^2 < a^2+b^2: Acute // c^2 > a^2+b^2: Obtuse | Pythagorean Inequalties Theroum |
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