Lesson 4 Symmetries of Quadrilaterals Develop Understanding

Ready

Define a polygon.

Fill in the names of each polygon based on the number of sides the polygon has.

One quadrilateral with special attributes is a kite. Find the geometric definition of a kite and write it below along with a sketch.

Draw a kite and include all of the lines of reflective symmetry and all of the diagonals.

line of reflective symmetry:

diagonals:

List any rotational symmetry for a kite.

Consider quadrilaterals such as parallelogram, rectangle, square, rhombus, and kite for the following questions.

Are lines of symmetry also diagonals for any given polygon? Explain.

Are all diagonals also lines of symmetry for any given polygon? Explain.

Which quadrilaterals have diagonals that are not lines of symmetry? Name some and draw them.

Do parallelograms have diagonals that are lines of symmetry? If so, draw and explain. If not, draw and explain.

For problems 10 through 12, find the equation:

of a line parallel to the given line and through the indicated $y$ -intercept.
of a line perpendicular to the given line and through the indicated $y$ -intercept.

Equation of a line:

$y = 4 x + 1$

Parallel line through point $(0, - 7)$

Perpendicular to the line through point $(0, - 7)$

Table of a line:

Parallel line through point $(0, 8)$

Perpendicular to the line through point $(0, 8)$

Graph of a line:

Parallel line through point $(0, - 9)$

Perpendicular to the line through point $(0, - 9)$