body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Rotations

Continue to next subchapter

Exercise 7 Page 565

Rotational symmetry means that you can spin the figure 180^(∘) or less so that it maps onto itself.

Yes, 180^(∘).

Practice makes perfect

Consider the given rhombus.

We want to determine whether the figure has rotational symmetry. To do so, remember that in a rhombus, all four sides have equal length and the diagonals bisect each other. This means that the diagonals divide each other into two congruent parts.

Since the diagonals have different length, we have to rotate a rhombus by 180^(∘) to make it map onto itself.

This means that the given rhombus has rotational symmetry and rotations of 180 ^(∘) map it onto itself.

Subchapter links

Communicate Your Answer p.561

Monitoring Progress p.563-565

Exercises p.566-568