Chapter 5.4, Problem 1CE

a.

To determine

To Name: the figure shown below which appears to a parallelogram.

Answer to Problem 1CE

  $1,4,5,7,8,9,10\text{ and 12}\text{.}$

Explanation of Solution

Given:

Figures are shown below.

  

A parallelogram has two pairs of opposite sides parallel.

Following figures appear to be a parallelogram:

  $1,4,5,7,8,9,10\text{ and 12}\text{.}$

Therefore, the answer is $1,4,5,7,8,9,10\text{ and 12}\text{.}$

b.

To determine

To Name: the figure shown below which appears to a rectangle.

Answer to Problem 1CE

  $2,4,8,9\text{ and 10}\text{.}$

Explanation of Solution

Given:

Figures are shown below.

  

A rectangle is a parallelogram with each angle $90°$ .

Following figures appear to be a rectangle:

  $2,4,8,9\text{ and 10}\text{.}$

Therefore, the answer is $2,4,8,9\text{ and 10}\text{.}$

c.

To determine

To Name: the figure shown below which appears to a rhombus.

Answer to Problem 1CE

  $2,5,9\text{ and 12}\text{.}$

Explanation of Solution

Given:

Figures are shown below.

  

A rhombus is a parallelogram with all sides equal.

Following figures appear to be a rhombus:

  $2,5,9\text{ and 12}\text{.}$

Therefore, the answer is $2,5,9\text{ and 12}\text{.}$

d.

To determine

To Name: the figure shown below which appears to a square.

Answer to Problem 1CE

  $2\text{ and 9}\text{.}$

Explanation of Solution

Given:

Figures are shown below.

  

A square is a parallelogramwith all sides equal, and each angle $90°$ .

Following figures appear to be a square:

  $2\text{ and 9}\text{.}$

Therefore, the answer is $2\text{ and 9}\text{.}$