Question

BCD has coordinates b(12,10) c(-6,8) and d(10,-4) after dilation the triangles new coordinates are b (9,7.5) c(-4.5,6) and d (7.5,-3) by what factor was the original triangle dilated ?

Answer 1

The dilation factor of the original triangle BCD to its new dilated position is 0.75.

Step-by-step explanation:

To determine by what factor the original triangle was dilated, we can compare the coordinates of one point before and after the dilation. For example, we can take point B with original coordinates (12,10) and dilated coordinates (9,7.5).

We find the dilation factor by dividing each coordinate of the dilated point by the corresponding coordinate of the original point:

• For the x-coordinate: 9 / 12 = 0.75
• For the y-coordinate: 7.5 / 10 = 0.75

Since both the x-coordinate and y-coordinate are reduced by the same factor, the dilation factor is 0.75.