Exploring Quadrilaterals

What is the area of a rhombus with diagonals measuring 8 cm and 6 cm?

• 48 cm²

• 36 cm²

• 24 cm²

• 30 cm²

What is the area of a rhombus with diagonals measuring 12 cm and 16 cm?

• 72 cm²

• 60 cm²

• 48 cm²

• 96 cm²

Which quadrilateral has opposite sides that are equal and all angles are right angles?

• Square

• Rectangle

• Rhombus

• Trapezoid

Determine the properties of a rhombus.

• A rhombus has equal side lengths, opposite angles are equal, diagonals bisect each other at right angles, and diagonals bisect the angles.

• The diagonals of a rhombus do not intersect.

• All angles in a rhombus are right angles.

• A rhombus has unequal side lengths.

If a quadrilateral has two pairs of equal sides, what type is it?

• Trapezoid

• Parallelogram

• Rectangle

• Rhombus

What theorem can be used to prove that the diagonals of a rectangle are equal?

• Pythagorean Theorem

• Angle-Angle (AA) Similarity Theorem

• Side-Angle-Side (SAS) Congruence Theorem

• The Side-Side-Side (SSS) Congruence Theorem

What is the area of a kite with diagonals measuring 10 cm and 6 cm?

• 24 cm²

• 30 cm²

• 15 cm²

• 40 cm²

Classify a quadrilateral with no parallel sides and no equal sides.

• Trapezoid

• Rhombus

• Rectangle

• Scalene quadrilateral

Calculate the area of a square with a side length of 7 cm.

• 56 cm²

• 36 cm²

• 49 cm²

• 42 cm²

What properties do all parallelograms share?

• All angles are right angles

• All sides are equal in length

• Diagonals are equal in length

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