Suppose that a given quadrilateral is a kite with no right angles. Which of the following is possible?
a. the quadrilateral is a trapezoid
b. the quadrilateral has congruent diagonals
c. the quadrilateral is a rhombus
d. none of the above
I think it is b. but I need to make sure can anyone help?
that is question?
A rectangular prism has dimensions of 2x, 3x, and 5x.
Write an expression for the total surface area of the prism
A quadrilateral has vertices A(4, 5), B(2, 4), C(4, 3), and D(6, 4). Which statement about the quadrilateral is true?
To determine which of the given options is possible for a kite with no right angles, we need to understand the properties of each type of quadrilateral.
a. Trapezoid: A trapezoid is a quadrilateral with one pair of parallel sides. In a kite, none of the sides are parallel, so a kite cannot be a trapezoid. Therefore, option a. is not possible.
b. Congruent Diagonals: In a kite, the diagonals are always perpendicular and intersect at a right angle. Since the question states that there are no right angles in the kite, it implies that the diagonals cannot be congruent. Therefore, option b. is not possible.
c. Rhombus: A rhombus is a quadrilateral with all sides of equal length. In a kite, the adjacent sides are congruent, but the opposite sides are not. Therefore, a kite cannot be a rhombus. Hence, option c. is not possible.
Since none of the given options are possible for a kite with no right angles, the correct answer is d. none of the above.