Polygons, Quadrilaterals, Parallelograms, Parallelogram Proofs

Which conclusion can be drawn?

• All quadrilaterals are kites, but all kites are not quadrilaterals.

• All parallelograms are rhombi, but all rhombi are not parallelograms.

• All squares are parallelograms, but all parallelograms are not squares.

• All parallelograms are rectangles, but all rectangles are not parallelograms.

Which figure completes this statement based on its characteristics....
polygon > quadrilateral>parallelogram> _______________

• kite

• square

• trapezoid

• traingle

Which statement is true?

• All quadrilaterals are parallelograms because they have four sides.

• All squares are parallelograms because they have 2 pairs of parallel sides.

• All trapezoids are parallelograms because they have 1 pair of parallel sides.

• All polygons are parallelograms because they have straight lines and closed sides.

Which describes a rhombus?

• has all right angles

• has all acute angles

• has all equal sides

• has all obtuse angles

A rhombus has these characteristics:

-opposite sides are parallel

-all four sides are the same length

Based on this information, which statement must be true?

• Every square must have these same characteristics

• Every rectangle must have these same characteristics

• Every quadrilateral must have these same characteristics

• Every parallelogram must have these same characteristics

Samantha states that a parallelogram is always a rhombus. Is she correct?

• Yes, because a parallelogram has opposite angles that are equal in size.

• Yes, because a parallelogram has opposite sides that are equal in length.

• No, because a parallelogram does not have opposite sides that are equal.

• No, because a parallelogram does not always have 4 equal sides.

Into which category can a trapezoid be placed?

• parallelogram

• quadrilateral

• rectangle

• rhombus

All quadrilaterals have four sides. Trapezoids are quadrilaterals, so all trapezoids have...

• four sides

• four right angles

• four acute angles

• two pairs of parallel sides

How are a trapezoid and a rhombus alike?

• Both are parallelograms

• Both are quadrilaterals

• Both have four equal sides

• Both have only one pair of parallel sides

Colton drew a parallelogram with four sides of equal length and two pairs of equal angles. What shape did he draw?

• kite

• rectangle

• square

• trapezoid