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If a quadrilateral is both a rectangle and a rhombus, what is it called?
Practice Questions
Q1
If a quadrilateral is both a rectangle and a rhombus, what is it called?
Square
Trapezium
Parallelogram
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Questions & Step-by-Step Solutions
If a quadrilateral is both a rectangle and a rhombus, what is it called?
Steps
Concepts
Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Learn what a rectangle is. A rectangle has four right angles and opposite sides that are equal in length.
Step 3: Learn what a rhombus is. A rhombus has all four sides equal in length, but the angles are not necessarily right angles.
Step 4: Recognize that a square is a special type of rectangle and rhombus. A square has all sides equal and all angles are right angles.
Step 5: Conclude that if a quadrilateral is both a rectangle (with right angles) and a rhombus (with equal sides), it must be a square.
Quadrilaterals
– A quadrilateral is a four-sided polygon. Rectangles and rhombuses are specific types of quadrilaterals.
Properties of Rectangles
– A rectangle has opposite sides that are equal and all angles are right angles.
Properties of Rhombuses
– A rhombus has all sides of equal length and opposite angles that are equal.
Square
– A square is a special type of quadrilateral that is both a rectangle and a rhombus, having all sides equal and all angles right.
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