Table of Contents
Can a shape be both a rectangle and a rhombus?
Both a rhombus and a rectangle are parallelograms.
What can be both a rhombus and rectangle?
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles.
Is a rhombus always an example of a rectangle?
A rhombus is defined as a parallelogram with four equal sides. Is a rhombus always a rectangle? No, because a rhombus does not have to have 4 right angles.
Which shape is considered a rhombus?
A rhombus is a 2-D shape with four sides hence termed as a quadrilateral. It has two diagonals that bisect each other at right angles. It also has opposite sides parallel and the sum of all the four interior angles is 360 degrees.
Is it possible for a rectangle to be a rhombus?
This means that for a rectangle to be a rhombus, its sides must be equal. When this is satisfied, we have a square.
What’s the difference between a square and a rhombus?
Every square is a rhombus, and a rhombus can be a square, if all its angles are 90 degrees. Thus, a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length).
What is the relationship between a rhombus and its diagonals?
(m) The area of the rhombus is a product of the lengths of the 2 diagonals divided by 2. (n) The lines joining the midpoints of the 4 sides in order, will form a rectangle whose length and width will be half that of the main diagonals. The area of this rectangle will be one-fourth that of the rhombus.
What kind of rectangle has 4 equal sides?
Rhombus requires four sides of equal length, thus a rectangle with sides of equal length (square) falls within the definition of rhombus: “a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides; any parallelogram with equal sides, including a square.”