1. What is the relation between the diagonals of a rhombus? 2. What is the relation between the diagonals of a rectangle?

Question

1.
What is the relation between the diagonals of a rhombus?
2.
What is the relation between the diagonals of a rectangle?
3.
What are the characteristic of a trapezium?
4.
Every square is a parallelogram. How?
5.
What is the sum of all angles of a trapezium?
6.
Every parallelogram is a trapezium but, every trapezium is not a parallelogram. Why?
Each diagonal of a rectangle is 13cm and its length is 12 cm. Find its breadth.

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2 weeks 2021-09-07T11:45:42+00:00 1 Answer 0 views 0

1.In any rhombus, the diagonals (lines linking opposite corners) bisect each other at right angles (90°). That is, each diagonal cuts the other into two equal parts, and the angle where they cross is always 90 degrees. In the figure above drag any vertex to reshape the rhombus and convince your self this is so.

2.A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. The diagonals have the following properties: The two diagonals are congruent (same length).

3.Properties of a Trapezium

A Trapezium has two parallel sides and two non-parallel sides. The diagonals of regular trapezium bisect each other. The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium

4.Yes. A parallelogram is a quadrilateral with 2 pairs of parallel sides. The opposite sides on every square are parallel, so every square is a parallelogram.

5.Every trapezium shows the following properties: Angle: The sum of angles in a trapezoid-like other quadrilateral is 360°. So in a trapezoid ABCD, ∠A+∠B+∠C+∠D = 360°. Two angles on the same side are supplementary, that is the sum of the angles of two adjacent sides is equal to 180°.

Step-by-step explanation: