What is the median of trapezoid?
Recall that the median of a trapezoid is a segment that joins the midpoints of the nonparallel sides. Theorem 55: The median of any trapezoid has two properties: (1) It is parallel to both bases. (2) Its length equals half the sum of the base lengths.
What is true about the median of a trapezoid?
Theorem: The median of a trapezoid is parallel to each base and the length of the median equals one-half the sum of the lengths of the two bases.
What is the relationship between the diagonals of a trapezoid?
Diagonals in Isosceles Trapezoids The diagonals in an isosceles trapezoid will not necessarily be perpendicular as in rhombi and squares. They are, however, congruent. Any time you find a trapezoid that is isosceles, the two diagonals will be congruent. The diagonals of an isosceles trapezoid are congruent.
What are the diagonals of a trapezoid?
The diagonal of the trapezoid connects from either bottom angle of the trapezoid to the far upper corner of the rectangle. This diagonal connects to form another right triangle, where the sum of the solved triangular base and the rectangle length is a leg, and the altitude of the trapezoid is another leg.
How do you find the area and median of a trapezoid?
The area of a trapezoid is (short base+long base)·height/2, or A=½(AB+DC)·h.
Is the median of a trapezoid is twice the sum of the bases?
The length of the median of a trapezoid is twice the sum of the lengths of its bases.
What is the diagonal of a trapezoid?
How many diagonals does a trapezoid have?
A trapezoid whose legs are not the same length does not have diagonals. If the legs are the same length then the figure has two diagonals.
What is the diagonals of trapezoid?
Can a trapezoid be a rectangle?
Explanation: The definition of a trapezoid is that it is a quadrilateral with exactly one pair of parallel sides. Rectangles and squares have two pairs of parallel lines. Using the idea of exactly one pair of parallel sides, the trapezoid cannot be a square or rectangle.
What is rectangle diagonal?
The line stretching from one corner of the square or rectangle to the opposite corner through the centre of the figure is known as the diagonal. Any square that has two diagonals are equal in length to each other.