Exploring Properties of Special Parallelograms

This lesson covers special parallelograms, including rectangles, rhombuses, and squares. It explains their properties, such as congruent sides, parallel sides, and bisecting diagonals. The video also includes problem-solving examples for rectangles and rhombuses, demonstrating how to calculate side lengths and angles using given properties.

What defines a parallelogram?

• All sides are equal

• Opposite sides are parallel and congruent

• Diagonals do not bisect each other

• All angles are 90 degrees

Which property is unique to a rectangle among parallelograms?

• Diagonals are perpendicular

• Opposite sides are parallel

• All sides are congruent

• All angles are 90 degrees

What is a distinguishing feature of a rhombus?

• All angles are 90 degrees

• Diagonals are congruent

• All sides are congruent

• Adjacent angles are not supplementary

Which statement is true for both a square and a rhombus?

• Diagonals are not congruent

• Diagonals bisect each other

• All angles are acute

• Only two sides are parallel

What additional property does a square have over a rectangle?

• All angles are less than 90 degrees

• Diagonals are congruent

• All sides are congruent

• Opposite sides are parallel

In a rectangle, what can be said about the diagonals?

• They are perpendicular

• They are not congruent

• They are parallel

• They bisect each other

How do the diagonals of a rhombus interact with its angles?

• They do not intersect

• They are parallel to the sides

• They create obtuse angles

• They bisect the angles

What is the length of diagonal BD in rectangle ABCD if segment BD is 6.5 units?

• 5 units

• 26 units

• 13 units

• 6.5 units

In rhombus KLMN, if KL is expressed as 3x + 4 and LM as x + 20, what is the value of x?

• 12

• 4

• 16

• 8

What is the measure of angle MNK in rhombus KLMN if 9y = 90?

• 45 degrees

• 10 degrees

• 25 degrees

• 90 degrees