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Geometry Quiz
| Term | Definition |
|---|---|
| Concurrent | When three or more lines meet at a single point |
| Centroid | The point of concurrency of the three medians of a triangle, also known as the center of gravity of a triangle. The length between the vertex and the centroid is twice the length of the centroid to the midpoint of the triangle |
| Median | A line segment connecting a vertex to the midpoint of the opposite side |
| Median of a trapezoid | A line segment that connects the midpoints of the legs of a trapezoid |
| Mid-segment | A line segment that joins the midpoints of two sides of a triangle or trapezoid |
| Parallelogram | A quadrilateral with both pairs of opposite sides parallel |
| 3 steps of how a parallelogram can be proved | The diagonals bisect each other, both pairs of opposite side are congruent, both pairs of opposite side are parallel |
| Rectangle | A parallelogram with 4 right angles |
| Rhombus | A parallelogram with 4 congruent sides |
| Kite | A quadrilateral with two pairs of adjacent sides congruent and NO opposite sides congruent |
| Trapezoid | A quadrilateral with at least one pair of opposite sides parallel |
| Isosceles trapezoid | A trapezoid with congruent legs |
| Square | A quadrilateral that is both a rectangle and a rhombus |
| 6 properties of a parallelogram | Both pairs of opposite sides are parallel A diagonal divides it into two congruent triangles Both pairs of opposite sides are congruent Both pairs of opposite angles are congruent Diagonals bisect each other Consecutive angles are supplementary |
| 2 properties that make a parallelogram a rectangle | Diagonals are congruent All four angles are right angles |
| 3 properties that make a parallelogram a rhombus | Diagonals are perpendicular All four sides are congruent Each diagonals bisects its angle |
| The 2 properties of a isosceles trapezoid | Base angles of an isosceles trapezoid are congruent Diagonals of an isosceles trapezoid are congruent |
| Property of a kite | Diagonals of a kite are perpendicular |
| 2 ways to prove a quadrilateral is a square | It is a rectangle with 2 consecutive sides congruent It is a rhombus with one right angle. |