Question

Similar triangles MOM and DAD are located on the coordinate plane. The tan M = tan D = 7 over 15. If triangle DAD is translated 4 units down and dilated by a scale factor of two, what is the resulting value of tan D? 14 over 30 10 over 18 7 over 15 3 over 11

Answer 1

To solve this problelm you must apply the proccedure shown below:

1. You have that tan M=tan D=7/15 and the triangle DAD is dilated by a scale factor of two.

2. When the triangle DAD is translated, it keeps the same shape.

3. Therefore, when it is dilated by the scale factor, you obtain:

tan D=(7x2/5x2)
tan D=14/30

4. So, as you can see, the answer is the first option: 14/30.