Quadrilaterals Revisit

Quadrilateral Revisit

By Tamigene Conklin

​

​

​Quadrilaterals are classified according to the number of sets or parallel sides.

​After we look at the number of parallel sides, we consider the number of equal sides and equal angles.

Multiple Choice

What is the figure? How do you know?

• Parallelogram; opposite sides are parallel and congruent

• Trapezoid; there is one pair of parallel sides

• Square; there are right angles

• Polygon; it had 4 sides

Multiple Select

Choose ALL of the names that apply to this figure. Pay attention to what you know about parallel sides and equal sides.

• Quadrilateral

• Trapezoid

• Parallelogram

• Rhombus

• Square

​Lines of Symmetry

A line of symmetry in a quadrilateral is a line that, when folded along, divides the quadrilateral into two identical, mirror-image halves.

Multiple Choice

True or False: A rectangle has four lines of symmetry

• True

• False

​Rectangles and Squares

​If a quadrilateral has 4 right angles, it is a rectangle.

If it ALSO has 4 equal sides, it is ALSO a square.

So ALL squares are also rectangles, but only SOME rectangles are also squares.

Multiple Choice

A square is ______ a rectangle.

• Always

• Sometimes

• Never

​

​

​Quadrilaterals are classified according to the number of sets or parallel sides.

​After we look at the number of parallel sides, we consider the number of equal sides and equal angles.

Multiple Choice

What shape goes in the highlighted box?

• Trapezoid

• Parallelogram

• Rectangle

• Rhombus

​

​When a quadrilateral is a parallelogram, the diagonals BISECT each other. (parallelogram, rectangle, rhombus, square)

When the quadrilateral has right angles, the diagonals are EQUAL. (rectangle, square)

When the quadrilateral has 4 equal sides, the diagonals are PERPENDICULAR (rhombus, square).

Multiple Select

Which quadrilaterals have diagonals that are PERPENDICULAR?

• Square

• Rectangle

• Parallelogram

• Rhombus

• Trapezoid

Multiple Choice

Which quadrilateral has one set of parallel sides and two congruent sides?

• Parallelogram

• Rectangle

• Rhombus

• Isosceles Trapezoid

• Square

​The angles of a quadrilateral all add up to 360.

If one angle is missing, add the angles you do know and subtract from 360.

​

​5. Interior angles add up to 360.