Chapter 14.8, Problem 21WE

a.

To determine

To draw the figure if there is one that meets the conditions.

Answer to Problem 21WE

The figure ofa trapezoid with no symmetry.

  

Explanation of Solution

Given information:

The given condition is that a trapezoid with no symmetry.

The figure ofa trapezoid with no symmetry.

  

The above figure is of a non-isosceles trapezoid and has no symmetry because no two opposite sides are equal.

b.

To determine

To draw the figure if there is one that meets the conditions.

Answer to Problem 21WE

The trapezoid with one symmetry line.

  

Explanation of Solution

Given information:

The given condition is that a trapezoid with one symmetry line.

The trapezoid with one symmetry line.

  

The above figure is isosceles trapezoid and has one symmetry line about x-axis because its two opposite sides are equal. Similarly you can draw an isosceles trapezoid with line of symmetry about y-axis.

c.

To determine

To draw the figure if there is one that meets the conditions.

Answer to Problem 21WE

Not possible

Explanation of Solution

Given information:

The given condition is that a trapezoid with a symmetry point.

It is not possible to draw a trapezoid with a symmetry point because half-turn $H_o$ of any type of trapezoid at any point is not such that it half turn $H_o$ maps the figure onto itself.