If a quadrilateral is a rectangle, what can be said about its diagonals?
Practice Questions
Q1
If a quadrilateral is a rectangle, what can be said about its diagonals?
They are equal and bisect each other
They are unequal
They are perpendicular
They are parallel
Questions & Step-by-Step Solutions
If a quadrilateral is a rectangle, what can be said about its diagonals?
Step 1: Understand what a rectangle is. A rectangle is a four-sided shape (quadrilateral) with opposite sides that are equal in length and all angles are right angles (90 degrees).
Step 2: Identify the diagonals of the rectangle. A diagonal is a line segment that connects two opposite corners of the rectangle.
Step 3: Measure the lengths of the diagonals. In a rectangle, the two diagonals will always be the same length.
Step 4: Understand what it means for diagonals to bisect each other. This means that the diagonals cross each other at their midpoints, dividing each diagonal into two equal parts.
Step 5: Conclude that in a rectangle, the diagonals are equal in length and they bisect each other.
Properties of Rectangles – In a rectangle, the diagonals are equal in length and bisect each other, which is a fundamental property of this shape.
Diagonals in Quadrilaterals – Understanding how the properties of diagonals differ among various types of quadrilaterals, such as rectangles, squares, and rhombuses.
