Look at the quadrilateral below.
Determine if the quadrilateral is a rectangle.
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Look at the quadrilateral below.
Determine if the quadrilateral is a rectangle.
From the given information, we know that triangle EBC is equilateral.
In an equilateral triangle, all angles are equal to each other.
Therefore, angle B is equal to 60 degrees.
Since none of the angles are 90 degrees, we can safely say that the quadrilateral is not a rectangle.
It is not a rectangle.
True or false?
One of the angles in a rectangle may be an acute angle.
Look for right angles at each corner! In this diagram, the angles clearly aren't 90°. The quadrilateral appears slanted, which means it's a parallelogram but not a rectangle.
Point E shows that triangle EBC is equilateral, meaning all its angles are 60°. Since angle B = 60° (not 90°), the quadrilateral cannot be a rectangle.
Yes! Isosceles trapezoids have equal diagonals but aren't rectangles. Only rectangles have both equal diagonals and four 90° angles.
This appears to be a parallelogram - opposite sides are parallel and equal. It has the diagonal properties shown, but lacks the 90° angles needed for a rectangle.
Remember: Rectangle = Four Right Angles! All rectangles are parallelograms, but not all parallelograms are rectangles. The key difference is those 90° corners.
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