Polygons, Quadrilaterals, Parallelograms, Parallelogram Proofs

Which of the following shows a characteristic of ALL quadrilaterals?

• two sets of parallel sides

• closed, three-sided figure

• closed, four-sided figure

• two sets of congruent sides

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.

Which figure can be classified as both a parallelogram and a rhombus?

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Which of the given sets of polygons are always parallelograms?

• rhombus and trapezoid

• square and rhombus

• kite and rectangle

• trapezoid and kite

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

Which statement explains why a rectangle is a parallelogram?

• They are both rhombuses.

• They are both quadrilaterals.

• They both have two pairs of parallel sides.

• They are both quadrilaterals with four right angles.

The figures below were correctly grouped together. Which BEST describes any figure that belongs in this group?

• It must have parallel sides.

• It must have exactly 4 angles.

• It must have perpendicular sides.

• It must have at least 2 equal angles.

Which statement BEST explains why a square is a rectangle?

• It is a quadrilateral with four right angles.

• It is similar to a rectangle.

• It is a parallelogram.

• It is a rhombus.

Which of these two-dimensional figures is also a rectangle?

• I

• II

• III

• IV

Which list has all of the possible names for this figure?

• polygon, parallelogram, quadrilateral, square

• quadrilateral, parallelogram, rectangle, square

• polygon, quadrilateral, rectangle, rhombus

• polygon, quadrilateral, parallelogram, rectangle