Rhombus Study Guide

Definition

A rhombus is a type of quadrilateral in which all four sides are of equal length. It is also a parallelogram, which means that opposite sides are parallel and equal in length, and opposite angles are equal.

Properties

All sides of a rhombus are of equal length.
Opposite angles of a rhombus are equal.
Diagonals of a rhombus bisect each other at right angles.
The diagonals of a rhombus are perpendicular to each other and bisect the angles of the rhombus.

Formulas

Some useful formulas for a rhombus:

Area = (diagonal1 * diagonal2) / 2
Perimeter = 4 * side length

Example Problems

Calculate the area and perimeter of a rhombus with side length 6 units and diagonals measuring 8 units and 10 units.

Area = (8 * 10) / 2 = 40 square units

Perimeter = 4 * 6 = 24 units

Practice Questions

Find the area of a rhombus with side length 9 units and diagonals measuring 12 units and 15 units.
Calculate the perimeter of a rhombus with side length 7 units.

Conclusion

In conclusion, a rhombus is a special type of quadrilateral with unique properties and formulas for calculating its area and perimeter.

◂Math Worksheets and Study Guides Sixth Grade. Plotting Points

Vocabulary/Answer key

Plotting Points

The resources above cover the following skills:

The Number System

Apply and extend previous understandings of numbers to the system of rational numbers.

Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. [6-NS6]

Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. [6-NS6b]

Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. [6-NS6c]

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6-NS8]