If a quadrilateral has one angle measuring 90 degrees and the opposite angle mea

If a quadrilateral has one angle measuring 90 degrees and the opposite angle measuring 90 degrees, what can be inferred about the quadrilateral?

If a quadrilateral has one angle measuring 90 degrees and the opposite angle measuring 90 degrees, what can be inferred about the quadrilateral?

Step 1: Understand what a quadrilateral is. A quadrilateral is a shape with four sides and four angles.
Step 2: Identify the angles given in the question. We have one angle that measures 90 degrees and the opposite angle that also measures 90 degrees.
Step 3: Recall the properties of angles in a quadrilateral. The sum of all four angles in a quadrilateral is always 360 degrees.
Step 4: Since we have two angles that are 90 degrees, we can add them together: 90 + 90 = 180 degrees.
Step 5: This means that the other two angles must also add up to 180 degrees because 360 - 180 = 180.
Step 6: In a rectangle, opposite angles are equal, and adjacent angles are supplementary (they add up to 180 degrees).
Step 7: Since we have two opposite angles that are both 90 degrees, this confirms that the quadrilateral must be a rectangle.

Properties of Quadrilaterals – Understanding the characteristics of quadrilaterals, particularly the implications of having right angles.
Rectangles – Recognizing that a quadrilateral with two opposite right angles is a rectangle.