The Web designer would like to change the dimensions of the logo so that lengths are increased or decreased but angle measures are preserved.

Question

The logo is 100 pixels wide and 24 pixels high. Images placed in Web pages can be stretched horizontally and vertically by changing the dimensions in the code for the Web page.

Find three different possible sets of dimensions for the width and height so that lengths are changed but angle measures are preserved.

The dimensions must be whole numbers of pixels. Justify your choices.

Explain how the Web designer can use transformations to find additional possible dimensions for the logo.

Answer 1

The aspect ratio of an image is the ratio of its width to its height. It is commonly expressed as two numbers separated by a colon, as in 16:9. For an x:y aspect ratio, the image is x units wide and y units high. Widely used aspect ratios include 1.85:1 and 2.39:1 in film photography, 4:3 and 16:9 in television, and 3:2 in still camera photography.-- Wikipedia

The logo has aspect of 100:24.

It can be displayed as:

200:48

50:12

150:36

Think of an analog clockface showint 2:o'clock. A a large clockface and a small clockface keeps the same angles when the center point is the same.