Classifying Quadrilaterals and Three Dimensional Figures

Which statement BEST describes why the shape below is a rhombus?

• It is a square with no right angles.

• It is a parallelogram with equal sides.

• It is a polygon with equal sides and equal angles.

• It is a quadrilateral with one pair of acute angles and one pair of obtuse angles.

A rectangle must be a __________ and a __________.

• parallelogram, rhombus

• square, quadrilateral

• trapezoid, square

• quadrilateral, parallelogram

Select ALL the properties that both rectangles and parallelograms share.

• 4 sides

• 4 right angles

• 2 pairs of parallel sides

• 2 pairs of sides with equal length

• 2 acute angles and 2 obtuse angles

The definition of a trapezoid is a quadrilateral with __________.

• all four sides the same length and opposite sides parallel

• at least one pair of parallel sides

• both pairs of opposite sides parallel

• four right angles and opposite sides parallel

Which statement is true?

• A quadrilateral is always a parallelogram.

• A square is always a parallelogram

• A parallelogram is never a rhombus.

• A trapezoid never has two congruent sides.

Select ALL the properties that all trapezoids and squares share.

• 4 sides

• 4 sides of equal length

• at least 1 pair of parallel sides

• 2 pairs of sides of equal length

• 2 pairs of angles of equal measure

Which statement correctly compares these two isosceles triangles?

• Both figures are polygons whose interior angles total 360 degrees.

• Both figures are polygons with one right interior angle.

• Both figures are polygons with one pair of sides of equal length.

• Both figures are polygons with 3 acute interior angles.

Which of the following statements supports the fact that an equilateral triangle is also an isosceles triangle?

• They both have at least two congruent sides.

• They are both triangles.

• The sum of all the measures of the angles is 180 degrees.

• All the angles are congruent.

Using this hierarchy of two dimensional figures, determine which of the following labels can be given to the shape below. Select three that apply.

• paralellogram

• polygon

• quadrilateral

• rectangle

Which of these correctly arranges the figures in a hierarchy based on their classification?

• polygon→isosceles→triangle→equilateral

• polygon→triangle→equilateral→isosceles

• polygon→triangle→isosceles→equilateral

• polygon→isosceles→equilateral→triangle