Solving Quadrilaterals Rectangles Rhombus Squares Parallelograms

True or False: A four sided figure with four equal sides is always a quadrilateral and a rhombus but not always a rectangle.

• True

• False

Which explanation is correct?

• All squares are rhombuses. Rhombuses have 4 equal sides. Therefore, all squares have 4 equal sides.

• Only some rhombuses are parallelograms. Parallelograms have two pairs of parallel sides. Therefore, only some rhombuses have two pairs of parallel sides.

• All rhombuses are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rhombuses have 2 pairs of parallel sides.

True or false: Trapezoids are always quadrilaterals and never kites.

• True

• False

Which figures have 2 pairs of parallel sides?

• rhombus

• kite

• rectangle

True of False: All parallelograms have two sets of congruent sides and rhombuses are parallelograms, so all rhombuses have 2 sets of congruent sides.

• True

• False

Which quadrilateral has 1 set of parallel sides and opposite angles that are not equal?

• rhombus

• kite

• trapezoid

• square

What property makes all squares and rectangles parallelograms?

• opposite sides are parallel

• 4 equal sides

• 4 equal angles

• 4 right angles

Which statement is true?

• All parallelograms have 2 sets of congruent sides, rhombuses are parallelograms, so all rhombuses have 2 sets of congruent sides.

• All parallelograms have 2 sets of congruent angles and rectangles have 4 congruent angles so all parallelograms have 4 congruent angles.

• All parallelograms have 2 sets of parallel sides and parallelograms are quadrilaterals so all quadrilaterals have 2 sets of parallel sides.

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

Which statement is always true for parallelograms?

• All sides have the same length

• All angles have the same measure

• Opposite sides are equal in length

• Opposite angles have different measures