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How do you determine the shape of a quadrilateral?
A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides….A quadrilateral has:
- four sides (edges)
- four vertices (corners)
- interior angles that add to 360 degrees:
How do you prove a quadrilateral in coordinate geometry?
To prove that it is a parallelogram, remember that the definition of a parallelogram is a quadrilateral with two pairs of parallel sides. Therefore, one way to prove it is a parallelogram is to verify that the opposite sides are parallel. From algebra, remember that two lines are parallel if they have the same slope.
What is quadrilateral shape?
A quadrilateral is a polygon with four sides. There are many special types of quadrilateral. A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel .
How do you determine if a quadrilateral is a kite with coordinates?
Here are the two methods:
- If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it’s a kite (reverse of the kite definition).
- If one of the diagonals of a quadrilateral is the perpendicular bisector of the other, then it’s a kite (converse of a property).
How do you prove a quadrilateral is a rhombus with coordinates?
To prove a quadrilateral is a rhombus, here are three approaches: 1) Show that the shape is a parallelogram with equal length sides; 2) Show that the shape’s diagonals are each others’ perpendicular bisectors; or 3) Show that the shape’s diagonals bisect both pairs of opposite angles.
How do you classify a quadrilateral using analytic geometry?
Like triangles, we can often classify quadrilaterals using slopes, midpoints or lengths. A quadrilateral is any four-sided polygon. They can be convex (no angle is greater than 180◦) or concave (at least one angle is greater than 180◦). Special types of quadrilaterals have unique properties.