Question: In a rhombus, what is the relationship between the lengths of the diagonals?
Options:
They are equal
They are perpendicular
They bisect the angles
Both B and C
Correct Answer: Both B and C
Solution:
In a rhombus, the diagonals are perpendicular and they bisect the angles.
In a rhombus, what is the relationship between the lengths of the diagonals?
Practice Questions
Q1
In a rhombus, what is the relationship between the lengths of the diagonals?
They are equal
They are perpendicular
They bisect the angles
Both B and C
Questions & Step-by-Step Solutions
In a rhombus, what is the relationship between the lengths of the diagonals?
Step 1: Understand what a rhombus is. A rhombus is a type of quadrilateral where all four sides are of equal length.
Step 2: Learn about the diagonals of a rhombus. A rhombus has two diagonals that connect opposite corners.
Step 3: Know that the diagonals of a rhombus intersect each other at a right angle (90 degrees). This means they are perpendicular to each other.
Step 4: Understand that the diagonals also bisect each other. This means that each diagonal is divided into two equal parts at the point where they cross.
Step 5: Remember that the diagonals also bisect the angles of the rhombus. This means that each angle of the rhombus is split into two equal angles by the diagonals.
Properties of a Rhombus – In a rhombus, the diagonals are not only perpendicular to each other but also bisect each other, creating right triangles.
Diagonals and Angles – The diagonals of a rhombus bisect the angles of the rhombus, which is a key property that distinguishes it from other quadrilaterals.
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