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McGraw Hill Integrated II, 2012

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McGraw Hill Integrated II, 2012 View details

6. Similarity Transformations

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Exercise 23 Page 598

Is the scale factor of x-coordinates equal to the scale factor of y-coordinates?

No, see solution.

Practice makes perfect

Let's take a look at the given table. As we can see, each x-coordinate of △ PQR is multiplied by 3 and each y-coordinate is multiplied by 2.

△ PQR		△ XYZ
P	(a,b)	X	( 3a, 2b)
Q	(c,d)	Y	( 3c, 2d)
R	(e,f)	Z	( 3e, 2f)

Since 3≠ 2, the scale factor of x-coordinates is not equal to the scale factor of y-coordinates. Therefore, this transformation is not a dilation.

Subchapter links

Exercises p.596-599