Chapter 9.5, Problem 7CYU

To determine

To find the number of horizontal and vertical lines of symmetry that dome appears to have.

Answer to Problem 7CYU

  $18$ Lines of symmetry.

Explanation of Solution

Given:

The given photo is as follows-

  

Calculation:

After looking the figure closely there are total $36\times 3=108$ windows per three rows. That is each row has $36$ windows.

So lines of symmetry will be $36÷2=18$

To determine

To state whether the dome has rotational symmetry if it has, state the order and magnitude of the symmetry.

Answer to Problem 7CYU

Yes, Order is $36$ and magnitude is ${10}^{\circ }$ .

Explanation of Solution

Given:

The given photo is as follows-

  

Calculation:

The above figure has the rotational symmetry and its order is $36$ and magnitude is $\frac{360}{36}={10}^{\circ }$ .