In a quadrilateral ABCD, if the sum of the interior angles is 360 degrees, which
Practice Questions
Q1
In a quadrilateral ABCD, if the sum of the interior angles is 360 degrees, which of the following statements is true?
ABCD is a rectangle.
ABCD can be any shape.
ABCD must be a square.
ABCD is a triangle.
Questions & Step-by-Step Solutions
In a quadrilateral ABCD, if the sum of the interior angles is 360 degrees, which of the following statements is true?
Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides.
Step 2: Learn about the interior angles of a quadrilateral. The interior angles are the angles inside the shape.
Step 3: Know the rule: The sum of the interior angles of any quadrilateral is always 360 degrees.
Step 4: Since the sum of the interior angles of quadrilateral ABCD is given as 360 degrees, it confirms that ABCD is a valid quadrilateral.
Step 5: Conclude that ABCD can be any shape (like a square, rectangle, trapezoid, etc.) as long as it has four sides and the angles add up to 360 degrees.