Proving Rectangle, Rhombus, and Square

The diagonals of a rectangle are

• parallel
• congruent
• perpendicular
• not congruent

Tags

CCSS.HSG.CO.C.11

A rectangle is a parallelogram with 

• four congruent sides
• four congruent diagonals
• four acute angles
• four congruent angles

Tags

CCSS.HSG.CO.C.11

The diagonals of a parallelogram

• are always congruent
• bisect each other
• are never congruent
• parallel

A rhombus is a parallelogram with 

• four congruent sides
• four congruent diagonals
• four acute angles
• four congruent angles

Tags

CCSS.3.G.A.1

The diagonals of a rhombus are

• parallel
• congruent
• perpendicular
• equal to the side lengths

The diagonals of a square are

• parallel
• congruent
• perpendicular
• congruent and perpendicular

Tags

CCSS.HSG.CO.C.11

The diagonals of a square 

• form two 45° angles at each vertex
• form two 40° angles at each vertex
• form two 35° angles at each vertex
• form two 50° angles at each vertex

Tags

CCSS.HSG.CO.C.11

The diagonals of a rhombus 

• never intersect
• bisect the opposite angles
• are congruent
• bisect the sides

Tags

CCSS.HSG.CO.C.11

The opposite sides of a parallelogram are

• congruent
• perpendicular
• skew
• supplementary

The diagonals of a parallelogram always 

• are congruent
• are perpendicular
• bisect each other
• are parallel