Question

Imagine drawing a figure with the following conditions: A quadrilateral with at least two right angles. Is the figure described unique? Explain why or why not.

Answer 1

Answer:

The figure is NOT unique.

 Imagine the following quadrilaterals:

 Rectangle

 Square

 We know that:

 Both quadrilaterals have at least two right angles.

 However, they are not unique because they depend on the lengths of their sides.

Step-by-step explanation:

To construct a quadrilateral uniquely, five measurements are required.  A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given or  if the lengths of its three sides and two diagonals are given.

Just given two angles we cannot construct a unique quadrilateral.  There may be an infinite number of quadrilaterals having atleast two right angles

Examples:

All squares with varying sides

All trapezoids with two right angles

All rectangles with different dimensions

and so on.

Answer is

No.

Answer 2

Answer: The figure described is not unique. Squares, rectangles, and trapezoids can all have two right angles. The description also allows for any size figure because it does not give any side lengths.

Step-by-step explanation: The Sample Answer