Question

Similar triangles ABC and PQR are located on the coordinate plane. The sin A = sin P = 7 over 8. If triangle PQR is translated 3 units to the left and dilated by a scale factor of two, what is the resulting value of sin P?

negative 7 over 8
4 over 5
7 over 8
14 over 16

Question 2)

If the tan of angle x is 4 over 3 and the triangle is dilated to be two times as big as the original, what would be the value of the tan of x for the dilated triangle?

8 over 6
4 over 3
8 over 3
The tan value cannot be determined for the dilated triangle.

Question 3

If the sin of angle x is 3 over 7 and the triangle is dilated to be three times as big as the original, what would be the value of the sin of x for the dilated triangle?

3 over 7
6 over 14
9 over 21
The sin value cannot be determined for the dilated triangle.

Answer 1

When you dilate a triangle, the angles don't change, then the trigonometric functions don't change.

Question 1
Answer: The resulting value of sin P is: Third option 7 over 8

Question 2
Answer: The value of the tan of x for the dilated triangle would be: Second option 4 over 3

Question 3
Answer: The value of the sin of x for the dilated triangle would be : First option 3 over 7