Using the properties of a rhombus to determine the side of a rhombus

The video tutorial explains the characteristics of a rhombus, focusing on its congruent sides and perpendicular diagonals. It sets up an equation to find the value of Y, which is used to determine the length of the sides of the rhombus. The tutorial guides students through solving the equation and emphasizes the properties of a rhombus in comparison to other parallelograms.

What are the defining characteristics of a rhombus compared to other parallelograms?

• Two pairs of parallel sides

• Four congruent sides and perpendicular diagonals

• Diagonals are equal in length

• All angles are right angles

What is the relationship between the diagonals in a rhombus?

• They are congruent

• They are equal in length

• They bisect each other at right angles

• They are parallel

If DM is expressed as 5y + 2 and DK as 3y + 6 in a rhombus, what equation can be set up to find y?

• 5y + 2 = 3y + 6

• 5y + 6 = 3y + 2

• 5y + 2 = 5y + 6

• 3y + 2 = 3y + 6

What is the value of y when solving the equation 5y + 2 = 3y + 6?

• y = 1

• y = 4

• y = 2

• y = 3

Why is it sufficient to find the measure of one side of a rhombus?

• Because the diagonals determine the side length

• Because only one side is needed for area calculation

• Because the angles are all equal

• Because all sides of a rhombus are congruent