DIAMOND

Diamond

Definition Of Diamond

Diamond is a parallelogram with four equal sides.

More About Diamond

Another name for diamond is rhombus, so all the properties of rhombus hold true for diamond.

Example of Diamond

example of Diamond

In the above figure, the four sides namely AB, BC, CD, DA are parallel and equal. So, ABCD is a diamond.

Video Examples: Diamond Method math LAS

Solved Example on Diamond

Ques: Find the area of a diamond with diagonals 14 cm and 12 cm.

example of Diamond

Choices:

A. 84 cm 2
B. 26 cm 2
C. 13 cm 2
D. 64 cm 2
Correct Answer: A

Solution:

Step 1: Area of diamond = example of Diamond [Formula.]
Step 2: = × 14 × 12 [Substitute the values of d 1 and d 2.]
Step 3: Area of the diamond = 84 cm 2

Quick Summary

A diamond is also called a rhombus.
All sides of a diamond are equal in length.
The diagonals of a diamond bisect each other at right angles.
Area of diamond is half the product of its diagonals.

\[ Area = \frac{1}{2} d_1 d_2 \]

🍎 Teacher Insights

Use real-world examples of diamonds (e.g., diamond-shaped kites, baseball fields). Emphasize the relationship between diamonds and parallelograms. Use hands-on activities to explore properties of diamonds.

🎓 Prerequisites

Parallelogram
Square
Rectangle
Properties of lines
Area of a rectangle
Area of a triangle

Check Your Knowledge

Q1: Which of the following is NOT a property of a diamond?

All sides are equal Opposite angles are equal Diagonals are equal It is a parallelogram

Q2: The diagonals of a diamond are 6 cm and 8 cm. What is its area?

14 cm² 24 cm² 48 cm² 56 cm²

Frequently Asked Questions

Q: Is a square a diamond?
A: Yes, if its sides are equal and it has 90 degree angles.

Q: Are the diagonals of a diamond equal?
A: No, but they bisect each other at right angles.