If the lengths of the diagonals of a quadrilateral are equal, which of the follo
Practice Questions
Q1
If the lengths of the diagonals of a quadrilateral are equal, which of the following can be concluded?
The quadrilateral is a rectangle.
The quadrilateral is a rhombus.
The quadrilateral is a square.
The quadrilateral is a parallelogram.
Questions & Step-by-Step Solutions
If the lengths of the diagonals of a quadrilateral are equal, which of the following can be concluded?
Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Learn about diagonals. Diagonals are lines that connect opposite corners of a quadrilateral.
Step 3: Recognize that the question states the diagonals are equal in length.
Step 4: Recall that a rectangle is a special type of quadrilateral where opposite sides are equal and all angles are right angles.
Step 5: Understand that if a quadrilateral has equal diagonals, it can be a rectangle, but it could also be other shapes like a square or an isosceles trapezoid.
Step 6: Conclude that while equal diagonals suggest the quadrilateral could be a rectangle, it is not the only possibility.
Properties of Quadrilaterals – Understanding the properties of different types of quadrilaterals, particularly the conditions under which they can be classified (e.g., rectangles, rhombuses, etc.).
Diagonals of Quadrilaterals – Knowledge of how the lengths and properties of diagonals relate to the type of quadrilateral.
