Question

lourdes makes sketches for her graphic novel using a repeating similar shape as a motif. answer parts a and b below.
click the icon to view a small simple figure.

a. use transformations, including similarity transformations, to create at least five images that are similar to the small simple figure. select all that apply.
a.
diagram of a t - shaped figure
b.
diagram of a cross - shaped figure rotated 90 degrees
c.
diagram of a smaller cross - shaped figure
d.
diagram of a t - shaped figure rotated 90 degrees
e.
diagram of a t - shaped figure flipped vertically
f.
diagram of a smaller t - shaped figure

Explanation:

Similar figures have identical shape, but can differ in size, and can be rotated/reflected (these are isometries, a type of similarity transformation with scale factor 1). The base figure is a T-shape (wide top, narrow vertical stem).

• A: Same shape, scaled up, no rotation.
• B: Rotated T-shape, same proportions.
• C: Smaller scaled T-shape, rotated.
• D: Rotated T-shape, same proportions.
• E: Flipped T-shape, same proportions.
• F: Smaller scaled T-shape, no rotation.

All these maintain the T-shape's proportionality, so they are similar.

Answer:

A. <T-shape (scaled up, upright)>, B. <T-shape (rotated 90 degrees clockwise)>, C. <T-shape (scaled down, rotated 90 degrees clockwise)>, D. <T-shape (rotated 90 degrees counterclockwise)>, E. <T-shape (flipped vertically, upright)>, F. <T-shape (scaled down, upright)>