Which quadrilaterals have congruent diagonals




















In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides. An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

This definition excludes rhombi. Some textbooks say a kite has at least two pairs of adjacent congruent sides, so a rhombus is a special case of a kite. A scalene quadrilateral is a four-sided polygon that has no congruent sides. Three examples are shown below. Which is always a rhombus? Parallelogram, Trapezoid, Rectangle, or Square? Why is a trapezoid a quadrilateral, but a quadrilateral is not always a trapezoid? What is the difference between a trapezoid and a rhombus?

How do you prove this theorem on trapezoids and its median? The median or mid-segment of a Parallelograms are like rectangles with diagonal parallel lines. Which one? Set the measure to zero. Find the slope of WX. Man, you need to brush up on your geometry before providing answers. The only ones that have congruent diagonals are Rectangles Squares since they are rectangles!

Isosceles trapezoids Draw some of the others and it is easy to see they do not qualify The diagonals of a square bisect the corner angles. Thus, angle ACB is 45 degrees. Where is H? First Name. Your Response.

Write the conditional statement that the Venn diagram illustrates. Every square is a rectangle. Every rhombus is a square. Every trapezoid is a parallelogram. Every parallelogram is a rectangle. A square is a rhombus. A parallelogram is a square. A rhombus is a rectangle. A rectangle is a parallelogram. A parallelogram must be a rhombus if the. Which statement is always true? Rhombi are squares. Parallelogram are rectangles. Rectangles are squares.

Kites have adjacent congruent sides. A quadrilateral is a trapezoid. A rhombus is a square.



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