Symmetry

Symmetry is an intuitive concept, but in geometry, it has a formal definition. Watch this lecture series and complete the interactive exercises.

1. The following diagram shows a kite.

Which of the following reflective symmetries apply to the kite?

2. Which of the following reflective symmetries apply to the trapezoid below?

Symmetry	Applies to the figure?
Reflective symmetry over $\overline{B F}$	Yes/No
Reflective symmetry over $\overline{D H}$	Yes/No

3. The center of the following rhombus is at the origin.

Which of the following reflective symmetries apply to the rhombus?

Symmetry	Applies to the figure?
Reflective symmetry over the line $y=-2 x$	Yes/No
Reflective symmetry over the line $y=\frac{1}{2} x$	Yes/No

4. Which of the following reflective symmetries apply to the hexagon below?

Symmetry	Applies to the figure?
Reflective symmetry over $\overline{A D}$	Yes/No
Reflective symmetry over $\overline{C E}$	Yes/No