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Geometry Terms
This stack will go through all the vocabulary associated with quadrilaterals
| Term | Definition |
|---|---|
| triangle interior angle sum | 3 sides, the sum of the interior angles is 180, and the measure of one interior angle is 60 |
| quadrilateral interior angle sum | 4 sides, the sum of the interior angles is 360, and the measure of one interior angle is 90 |
| pentagon interior angle sum | 5 sides, the sum of the interior angles is 540, and the measure of one interior angle is 108 |
| hexagon interior angle sum | 6 sides, the sum of the interior angles is 720, and the measure of one interior angle is 120 |
| heptagon interior angle sum | 7 sides, the sum of the interior angles is 900, and the measure of one interior angle is 128.6 |
| octogon interior angle sum | 8 sides, the sum of the interior angles is 1080, and the measure of one interior angle is 135 |
| nonagon interior angle sum | 9 sides, the sum of the interior angles is 1260, and the measure of one interior angle is 140 |
| decagon interior angle sum | 10 sides, the sum of the interior angles is 1440, and the measure of one interior angle is 144 |
| hendecagon interior angle sum | 11 sides, the sum of the interior angles is 1620, and the measure of one interior angle is 147.3 |
| dodecagon interior angle sum | 12 sides, the sum of the interior angles is 1800, and the measure of one interior angle is 150 |
| sum of interior angles formula is... | 180(n-2) |
| the formula for the measure of one interior angle is... | 180(n-2)/n |
| "n" represents... | the number of sides |
| n-2 is... | the number of triangles in a polygon |
| triangle exterior angle sum | 3 sides, the sum of all exterior angles is 360, the measure of one exterior angle is 120 |
| quadrilateral exterior angle sum | 4 sides, the sum of all exterior angles is 360, the measure of one exterior angle is 90 |
| pentagon exterior angle sum | 5 sides the sum of all exterior angles is 360, the measure of one exterior angle is 72 |
| hexagon exterior angle sum | 6 sides, the sum of all exterior angles is 360, the measure of one interior angle is 60 |
| heptagon exterior angle sum | 7 sides, the sum of all the exterior angles is 360, the measure of one interior angle is 51.4 |
| octogon exterior angle sum | 8 sides, the sum of all the exterior angles is 360, the measure of one interior angle is 45 |
| sum of all exterior angles formula is... | 360 |
| the formula for the measure of one exterior angle is... | 360/n |
| diagonal | a segment connecting 2 non consecutive vertices of a polygon |
| parallelogram | a quadrilateral with 2 pairs of parallel sides |
| Properties of Parallelogram Theorems: opposite sides | If a shape is a parallelogram, then opposite sides are congruent |
| Properties of Parallelogram Theorems: opposite angles | If a shape is a parallelogram, then opposite angles are congruent |
| Properties of Parallelogram Theorems: consecutive angles | If a shape is a parallelogram, then consecutive angles are supplementary |
| Properties of Parallelogram Theorems: right angles | If a parallelogram has one right angles, then all angles are right angles |
| Diagonals of Parallelograms Theorems: bisecting (midpoint) | The diagonals of a parallelogram bisect each other |
| Diagonals of Parallelograms Theorems: triangles | Each diagonal creates 2 congruent triangles |
| Conditions for Parallelograms Theorems: opposite sides | If a quadrilateral has 2 pairs of opposite sides that are congruent, then the quadrilateral is a parallelogram. |
| Conditions for Parallelograms Theorems: opposite angles | If a quadrilateral has 2 pairs of opposite angles that are congruent, then the quadrilateral is a parallelogram. |
| Conditions for Parallelograms Theorems: diagonals | If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a parallelogram. |
| Conditions for Parallelograms Theorems: opposite sides | If a quadrilateral has 1 pair of opposite sides that are congruent and parallel, then the quadrilateral is a parallelogram. |
| Parallelogram | Both pairs of opposite sides are parallel, both pairs of opposite sides are congruent, both pairs of opposite angles are congruent, consecutive angles are supplementary, diagonals bisect each other, |
| Kite | Two pairs of consecutive sides are congruent, only one pair of opposite angles are congruent, one diagonal bisects the non congruent angles, one diagonal is the perpendicular bisector of the other |
| Trapezoid | One pair of opposite sides is parallel, two pairs of consecutive angles are supplementary |
| Isosceles Trapezoid | One pair of sides (legs) is parallel, diagonals and base angles are. congruent |
| Rectangle | All properties of a parallelogram plus four right angles, and diagonals are congruent |
| Rhombus | All properties of a parallelogram plus all four sides are congruent, diagonals are perpendicular, each diagonal bisects a pair of opposite angles |
| Square | All properties of a parallelogram, rectangle, and rhombus |
| Diagonals of a Rhombus Theorems: Perpendicular | If a parallelogram is a rhombus, then the diagonals are perpendicular bisectors. |
| Diagonals of a Rhombus Theorems: Opposite angles | If a parallelogram is a rhombus, then each diagonal has opposite angles. |
| Diagonals of a Rhombus Theorems: Square | A parallelogram with 4 congruent sides and 4 rights angles. |
| Conditions for rhombi and square theorems: Diagonals perpendicular | If a parallelogram has perpendicular diagonals, then it is a rhombus. |
| Conditions for rhombi and square theorems: Diagonal Angle Bisector | If a parallelogram has diagonals that bisect each other, then it is a rhombus. |
| Conditions for rhombi and square theorems: Consecutive sides | If a parallelogram has consecutive sides the are congruent, then it is a rhombus. |
| Conditions for rhombi and square theorems: Rectangle and Rhombus | A parallelogram is a square if and only if it is both a rectangle and a rhombus. |
| Isosceles Trapezoid Theorems: Base Angles | If a trapezoid is isosceles, then the base angle pairs are congruent. |
| Isosceles Trapezoid Theorems: Diagonals | A trapezoid is isosceles if and only if its diagonals are congruent. |
| Isosceles Trapezoid Theorems: Mid-segment of a Trapezoid | The segment that connects the midpoint of there legs of a trapezoid. |
| Kite theorems: Diagonals | If a quadrilateral is a kite, then its diagonals are perpendicular. |
| Kite theorems: Opposite angles | If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. |
| Rectangles Diagonals Theorem | A parallelogram is a rectangle if and only if its diagonals are congruent. |
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sophians
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