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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

• They are perpendicular

• They are not congruent

• They are parallel

• They bisect each other

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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

Tags

CCSS.HSG.CO.C.11

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