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Rectangle: Shape and PropertiesA 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 Rectangle4 Right Angles
Diagonals of Rectangle
Practice Problems
Problem 1)
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. 
Problem 2)
If side MN = 12 and side ML = 5, what is the length of the other two sides?
Side LO=12 and NO = 5
Remember that a rectangle is a parallelogram, so it has all of the properties of parallelograms , including congruent opposite sides.
Problem 3)
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?
 This Page:Diagonal Related: Quadrilateral family tree | Properties of parallelograms | Is a square a rectangle? | square | Quadrilaterals Quiz |
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