91Ó°ÊÓ

When the word HIDE is reflected in a horizontal line, the image is still HIDE. Can you think of the other words that are unchanged when reflected in a horizontal line?

Points A-D are reflected in the x-axis. Points E-H are reflected in the y-axis. State the coordinates of the images.

Draw a triangle and a line m such that $R_m$ maps the triangle to itself. What kind of triangle did you use?

The transformation $T:\left(x,y\right)→\left(x+y,y\right)$ preserves areas of figures even though it does not preserve distances. Illustrate this by drawing a square with vertices $A\left(2,3\right),B\left(4,3\right),C\left(4,5\right)$, and $D\left(2,5\right)$, and its image $A\text{'}B\text{'}C\text{'}D\text{'}$. Find the area and perimeter of each figure.

Sketch each figure on the chalkboard. With a different color, sketch its image, using the dashed line as the line of reflection.

Sketch each figure on the chalkboard. With a different color, sketch its image, using the dashed line as the line of reflection.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along $\stackrel{→}{OP}$to a point $P\text{'}$of the cylinder.

Describe the image of the globe’s equator.

Draw a pentagon and a line n such that $R_n$ maps the pentagon to itself.

A piece of paper is wrapped around a globe of the Earth to form a cylinder as shown. O is the center of the Earth and a point P of the globe is projected along $\stackrel{→}{OP}$to a point $P\text{'}$of the cylinder.

Is the image of the Arctic Circle congruent to the image of the equator?

Sketch each figure on the chalkboard. With a different color, sketch its image, using the dashed line as the line of reflection.