Exploring Quadrilaterals

What is the angle sum of a quadrilateral?

• 360 degrees

• 270 degrees

• 90 degrees

• 180 degrees

Identify the type of quadrilateral that has all sides equal and all angles equal.

• Rectangle

• Rhombus

• Trapezoid

• Square

If one angle of a quadrilateral is 90 degrees and the other three angles are equal, what are the measures of the other three angles?

• 45 degrees

• 60 degrees

• 120 degrees

• 90 degrees

What are the properties of a parallelogram?

• Adjacent sides are equal

• Opposite sides are equal, opposite angles are equal, adjacent angles are supplementary, and diagonals bisect each other.

• Diagonals are equal in length

• All sides are equal in length

Determine the property being used to solve the problem.

• Opposite SIDES are congruent

• Opposite ANGLES are congruent

• Consecutive angles are supplementary

• Diagonals bisect each other

How do the diagonals of a rectangle behave?

• The diagonals of a rectangle are perpendicular to each other.

• The diagonals of a rectangle are unequal in length and do not intersect.

• The diagonals of a rectangle are equal in length and bisect each other.

• The diagonals of a rectangle are only equal in length when the rectangle is a square.

What is the relationship between the sides of a rhombus?

• All sides of a rhombus are equal in length.

• A rhombus has two pairs of equal sides.

• The opposite sides of a rhombus are equal in length.

• All sides of a rhombus are different lengths.

If the diagonals of a rhombus are 10 cm and 24 cm, what is the length of each side?

• 13 cm

• 12 cm

• 15 cm

• 20 cm

Can a square be classified as a rectangle? Why or why not?

• Yes, but only if the square is rotated at a 45-degree angle.

• No, a square is a different shape and cannot be a rectangle.

• No, a square cannot be classified as a rectangle because it has equal sides.

• Yes, a square can be classified as a rectangle.

What is the angle sum of a rectangle?

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees