Trig Ratios of Similar Right Triangles
- Ben Dougherty
Use the slider to control the scale factor of the dilation of triangle ABC onto triangle A'B'C' with a center of dilation of (0,0). Notice how the values for the sine, cosine, and tangent of B' and C' (right-hand column) change as you dilate the triangle.
1) When you dilate the triangle, do the angle measures change? Do the side lengths change? 2) Can the ratios in the right-hand column be simplified? If so, how do the simplified ratios compare to the left-hand column? 3) Does the size of the triangle impact the value of the sine, cosine, or tangent functions? Why or why not?