Quadrilaterals

Unit 4

What shape is this?

Trapezoid

What shape is this?

Parallelogram

If a Trapezoid is a quadrilateral with exactly one pair of parallel sides, is every parallelogram a trapezoid?

No

If a Trapezoid is a quadrilateral with at least one pair of parallel sides, is every parallelogram a trapezoid?

Yes

True or False: All sides of a Polygon are straight lines.

True

True or False: Rectangles have rotational symmetry

True

True or False: A Rhombus has 2 sets of opposite sides parallel

True

True or False: A Parallelogram has Reflection Symmetry

False

True or False: A Square has exactly one set of opposite angles congruent

False

True or False: A Kite has reflection Symmetry

True

True or False: A Trapezoid has all four sides congruent

False

Congruent Lines

Line segments that have the same length and size.

True or False: A rectangle has 4 congruent sides

False

True or False: A Rhombus has exactly one set of opposite angles congruent

False

True or False: A Parallelogram has 4 right angles

False

A quadrilateral with exactly one set of parallel sides

Quadrilateral Family Tree

A quadrilateral with a least one set of parallel sides.

quadrilateral hierarchy

Use paper triangles to show the sum of the three interior angles of a triangle.

Tearing off the corners and aligning them creates a straight angle (180°)

Congruent sides on an Isosceles Triangle

2

Congruent angles on an Isosceles Triangle

2

Lines of symmetry on an Isosceles Triangle

1

Lines of symmetry on an Equilateral Triangle

3

Congruent sides on an Equilateral Triangle

3

Congruent angles on an Equilateral Triangle

3

The area of the square on the hypotenuse is equal to _______.

The sum of the area of the squares on the two legs

Polygon

A flat, two-dimensional shape with three or more straight sides that connect to form a closed figure.

Quadrilateral

A four-sided two-dimensional shape with four vertices and four angles.

Parallelogram

A four-sided, flat shape where both pairs of opposite sides are parallel and equal in length, and opposite angles are equal

Triangle

Shape with three sides, three angles, and three vertices (corners).

Trapezoid

A four-sided, flat shape with at least one pair of parallel sides