Understanding the Perimeter of a Rhombus

The video tutorial explains how to find the perimeter of a rhombus. It begins with an introduction to the properties of a rhombus, comparing it to a square. The tutorial then demonstrates how to calculate the perimeter of a simple rhombus by multiplying the side length by four. It progresses to a more complex example involving a rhombus with given angles and diagonals, using properties of 30-60-90 triangles to find the side length and calculate the perimeter.

What is a key difference between a square and a rhombus?

• A rhombus has all sides of different lengths.

• A square has right angles at the vertices.

• A square has all sides of different lengths.

• A rhombus has all right angles.

How do you calculate the perimeter of a rhombus?

• Multiply the length of one side by 4.

• Multiply the length of one side by 2.

• Add the lengths of all four sides.

• Multiply the length of one side by 3.

If one side of a rhombus is 5 units, what is its perimeter?

• 25 units

• 20 units

• 15 units

• 10 units

In the complex problem, what is the measure of angle ABD?

• 90 degrees

• 45 degrees

• 120 degrees

• 60 degrees

What is the length of diagonal BD in the complex problem?

• 15 units

• 20 units

• 10 units

• 5 units

What property of a rhombus is used to split the diagonal into two equal parts?

• Diagonals are parallel.

• Diagonals bisect each other.

• Diagonals are equal in length.

• Diagonals are perpendicular.

What type of triangle is formed when the diagonals of a rhombus intersect?

• Equilateral triangle

• Isosceles triangle

• Right triangle

• Scalene triangle

In a 30-60-90 triangle, if the shorter leg is 5, what is the hypotenuse?

• 15 units

• 5 units

• 20 units

• 10 units

What is the perimeter of the rhombus in the complex problem?

• 20 units

• 50 units

• 30 units

• 40 units

Which property of a rhombus states that diagonals form right angles?

• Diagonals are parallel.

• Diagonals are perpendicular.

• Diagonals bisect angles.

• Diagonals are equal.