Quadrilaterals Revisit

Quadrilateral Revisit

By Tamigene Conklin

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​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

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​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

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​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.

Fill in the Blanks

Determine the missing angle of the quadrilateral.

(You may use DESMOS calculator)

Fill in the Blanks

Determine the missing angle of the quadrilateral.

(You may use DESMOS calculator)

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​5. Interior angles add up to 360.

Fill in the Blanks

Which of these are properties of a rhombus?

Type lowercase letters with no spaces or commas between them. Keep them in alphabetical order!

a The sum of the interior angles is 180 degrees. e Four congruent sides

b The sum of the interior angles is 360 degrees. f Diagonals are perpendicular

c Two sets of parallel sides g Diagonals are congruent

d One set of parallel sides