dilation, scale factor, similar triangles
TEKS 8(1)(D), 8(4)(A)
Example Comparing Triangles to Their Dilations
Draw the triangle that is the image of the given triangle after a dilation with center (0,22) and a scale factor of 2. Look at the ratio of the rise to the run of each triangle. How do the ratios compare? Explain.
The ratio of the rise to the run of the given triangle is 3 halves . The ratio of the rise to the run of the image triangle is 6 fourths , which is equivalent to 3 halves . So, the ratios of the rise to the run of the two triangles are the same.