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What are the properties of the isosceles trapazoid?
Its diagonals are congruent. One set of parallel sides. The other two non parallel lines are congruent.
What solid figure is a set of your parallel cross sections are circles that are similar but not congruent?
A sphere is.
How is a rectangle different from a rhombus?
The opposite sides of rectangles are the same length and parallel, and the angles are all right. All four sides of a rhombus must all be the same length and parallel, but the angles need not be right. Squares are both rectangles and rhombuses, but no other figure is both a rectangle and a rhombus. In other words, the union of the set of rhombuses with the set of rectangles is the set of squares.
What shape has two parallel opposite sides but is not a parallelogram?
There are an infinite number of shapes that have two or more parallel opposite sides - any even-numbered polygon (hexagons, octagons, decagons, and so on).A quadrilateral with only 1 set of parallel sides is a trapezoid (UK trapezium).A parallelogram has two sets of parallel opposite sides. These would include rhombi and rectangles (and the special case of rectangles which are squares).
Why does a prism or a cylinder have a set of parallel cross sections that are parallelograms?
The bases of a prism or cylinder are congruent and parallel and they meet the lateral face (cynder) or faces (prism) at right angles. A cross section parallel to the longitudinal axis will, therefore, be a rectangle.
