Rectangle: Shape and Properties
A special kind of parallelogram
A rectangle is a parallelogram with 4 right angles. Now, since a rectangle is a parallelogram, its opposite sides must be congruent and it must satisfy all other properties of parallelograms .
The Properties of a Rectangle
4 Right Angles
In rectangle STAR below, SA =5, what is the length of RT?
Since the diagonals of a rectangle are congruent, RT has the same length as SA.
Therefore, RT = 5.
If side MN = 12 and side ML = 5, what is the length of the other two sides?
How Long is MO and MZ in the rectangle pictured on the left?
Since the diagonals of a rectangle are congruent MO = 26.
Finding length of MZ
To find MZ, you must remember that the diagonals of a parallelogram bisect each other.(Remember a rectangle is a type of parallelogram so rectangles get all of the parallelogram properties)
If MO = 26 and the diagonals bisect each other, then MZ = ½(26) = 13
Challenge Problem) What is the value of x in rectangle STAR below?