the vertices of quadrilateral EFGH are E(-7,3) F (-4,6) G (5,-3) and H (2,-6) what kind of quadrilateral is EFGH
Rectangle that is not a square
rectangle that is not a square
Rectangle that is not a square
To determine the kind of quadrilateral EFGH is, we can use the properties of quadrilaterals. There are various types of quadrilaterals, including rectangles, squares, parallelograms, trapezoids, and rhombuses.
To identify the type of quadrilateral EFGH, we can examine its properties. One approach is to measure the lengths of its sides and the angles between them. Alternatively, we can check if it satisfies the defining characteristics of particular quadrilaterals.
Let's proceed with determining the type of quadrilateral EFGH using the properties of different quadrilaterals:
1. Rectangle:
- A rectangle has four right angles (each measuring 90 degrees).
- To check if EFGH is a rectangle, we can calculate the measures of the angles formed by the line segments EF, FG, GH, and HE. If all of these angles are equal to 90 degrees, then EFGH is a rectangle.
2. Square:
- A square is a special type of rectangle where all sides are of equal length.
- To determine if EFGH is a square, we can calculate the lengths of the sides EF, FG, GH, and HE. If all sides are equal, it is a square.
3. Parallelogram:
- A parallelogram has opposite sides that are parallel.
- To verify if EFGH is a parallelogram, we need to check if opposite sides EF and GH, as well as FG and HE, are parallel.
4. Trapezoid:
- A trapezoid has one pair of opposite sides that are parallel.
- If neither the conditions for rectangles, squares, nor parallelograms are met, we need to see if EFGH has one pair of parallel sides.
5. Rhombus:
- A rhombus is a quadrilateral with all sides of equal length.
- To determine if EFGH is a rhombus, we should check if all sides, EF, FG, GH, and HE, are equal.
By following these steps, we can identify the type of quadrilateral EFGH based on its properties.