Conditions of Rectangles Squares Rhombuses

What shape is this? 

• Square 

• Rectangle 

• Rhombus 

• Parallelogram 

MNKL is a square. Find the measure of angle MKN.

• 180 degrees

• 90 degrees

• 60 degrees

• 45 degrees

Name the following shape: 

• Rhombus

• Rectangle

• Square

Find m∠2.

• 62

• 28

• 90

• 78

Find the measure of angle 2

• 54

• 108

• 72

• 36

Classify the quadrilateral in as many ways as possible.

• quadrilateral, parallelogram

• rectangle

• quadrilateral,parallelogram, rectangle

• quadrilateral,parallelogram, rectangle, square

Name the following shape: 

• Rhombus

• Rectangle

• Square

Prove that a quadrilateral is a square if and only if it is both a rhombus and a rectangle.

• A quadrilateral is a square if and only if it is both a rhombus and a rectangle.

• A quadrilateral is a square if it is a kite

• A quadrilateral is a square if it is a parallelogram

• A quadrilateral is a square if it is a trapezoid

Show that the diagonals of a rhombus are perpendicular to each other and bisect the angles.

• Diagonals of a rhombus are equal in length and do not bisect the angles.

• Diagonals of a rhombus are perpendicular to each other and bisect the angles.

• Diagonals of a rhombus are parallel to each other and do not bisect the angles.

• Diagonals of a rhombus are not perpendicular to each other and do not bisect the angles.

Prove that a quadrilateral is a rhombus if and only if its diagonals are perpendicular bisectors of each other.

• The diagonals are parallel

• The opposite angles are equal

• The sum of all angles is 360 degrees

• Both statements are true