Conditions of Rectangles Squares Rhombuses

Show that a quadrilateral is a rectangle if and only if its diagonals are congruent.

• Diagonals are congruent

• All sides are equal

• Opposite sides are parallel

• All angles are equal

Tags

CCSS.HSG.CO.C.11

Determine the conditions for a quadrilateral to be a square based on its angles and sides.

• All angles are right angles and all sides are of equal length.

• All angles are acute angles and all sides are of equal length.

• All angles are right angles and all sides are of different lengths.

• All angles are obtuse angles and all sides are of equal length.

Tags

CCSS.3.G.A.1

Prove that the diagonals of a rectangle are congruent and bisect each other.

• Diagonals of a rectangle are congruent and bisect each other.

• The diagonals of a rectangle are parallel and do not intersect.

• Diagonals of a rectangle are not congruent and do not bisect each other.

• The diagonals of a rectangle are perpendicular and do not bisect each other.

Tags

CCSS.HSG.CO.C.11

Given a square with a perimeter of 24 cm, find the length of each side.

• 12 cm

• 8 cm

• 6 cm

• 4 cm

Tags

CCSS.4.MD.A.3

If a quadrilateral has diagonals that are perpendicular bisectors of each other, what can be concluded about the shape of the quadrilateral?

• Square

• Parallelogram

• Rectangle

• Rhombus

Tags

CCSS.HSG.CO.C.11

A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles

• trapezoid

• parallelogram

• rectangle

• quadrilateral

Tags

CCSS.4.G.A.2

A square is a rectangle.

• True

• False

Tags

CCSS.5.G.B.4

• Diego, because they both have 4 congruent sides
• Diego, because a rhombus is a square just tilted to the side
• Tanya, because squares have to have 4 right angles
• Tanya, because rhombus' have to have 4 right angles

Tags

CCSS.HSG.CO.C.11

A quadrilateral with two sets of parallel sides, 4 right angles, and 4 congruent (equal) sides is a __________________.

• trapezoid

• parallelogram

• rectangle

• square

Tags

CCSS.5.G.B.4

Which statement is false?

• All squares are rhombuses.

• All rhombuses are quadrilaterals.

• All parallelograms are rhombuses.

• Some rhombuses are rectangles. 

Tags

CCSS.HSG.CO.C.11