A triangle with vertices %0D%0AO%0D%0A(%0D%0A0%0D%0A,%0D%0A %0D%0A0%0D%0A)%0D%0A,%0D%0A%0D%0A(%0D%0A0%0D%0A,%0D%0A %0D%0A0%0D%0A)%0D%0A,%0D%0A %0D%0AP%0D%0A(%0D%0A9%0D%0A,%0D%0A %0D%0A24%0D%0A)%0D%0A,%0D%0A%0D%0A(%0D%0A9%0D%0A,%0D%0A %0D%0A24%0D%0A)%0D%0A,%0D%0A and %0D%0AQ%0D%0A(%0D%0A12%0D%0A,%0D%0A %0D%0A0%0D%0A)%0D%0A%0D%0A(%0D%0A12%0D%0A,%0D%0A %0D%0A0%0D%0A)%0D%0A is graphed in the standard %0D%0A(%0D%0Ax%0D%0A,%0D%0A %0D%0Ay%0D%0A)%0D%0A(%0D%0A%0D%0A,%0D%0A %0D%0A%0D%0A)%0D%0A coordinate plane below. The triangle will be dilated by a factor of %0D%0A1%0D%0A3%0D%0A1%0D%0A3%0D%0A using the transformation %0D%0A(%0D%0Ax%0D%0A,%0D%0A %0D%0Ay%0D%0A)%0D%0A→%0D%0A(%0D%0A1%0D%0A3%0D%0Ax%0D%0A,%0D%0A %0D%0A1%0D%0A3%0D%0Ay%0D%0A)%0D%0A,%0D%0A%0D%0A,%0D%0A %0D%0A%0D%0A→%0D%0A1%0D%0A3%0D%0A%0D%0A,%0D%0A %0D%0A1%0D%0A3%0D%0A%0D%0A,%0D%0A resulting in %0D%0AO%0D%0A′%0D%0A(%0D%0A0%0D%0A,%0D%0A %0D%0A0%0D%0A)%0D%0A,%0D%0A %0D%0AP%0D%0A′%0D%0A,%0D%0A%0D%0A'%0D%0A(%0D%0A0%0D%0A,%0D%0A %0D%0A0%0D%0A)%0D%0A,%0D%0A %0D%0A%0D%0A'%0D%0A,%0D%0A and %0D%0AQ%0D%0A′%0D%0A.%0D%0A%0D%0A'%0D%0A.%0D%0A%0D%0A%0D%0A%0D%0APart A%0D%0AEnter a number in each ☐ to answer the question.%0D%0A%0D%0AWhat are the coordinates of points %0D%0AP%0D%0A′%0D%0A%0D%0A'%0D%0A and %0D%0AQ%0D%0A′%0D%0A %0D%0A?%0D%0A%0D%0A'%0D%0A %0D%0A?%0D%0A%0D%0AP%0D%0A′%0D%0A(%0D%0A%0D%0A'%0D%0A(%0D%0A , %0D%0A)%0D%0A)%0D%0A%0D%0AQ%0D%0A′%0D%0A(%0D%0A%0D%0A'%0D%0A(%0D%0A , %0D%0A)%0D%0A)%0D%0A%0D%0APart B%0D%0AEnter a number in each ☐ to answer the question.%0D%0A%0D%0AWhat are the areas of the original and image triangles?%0D%0A%0D%0AArea of %0D%0A△%0D%0AO%0D%0AP%0D%0AQ%0D%0A:%0D%0A△%0D%0A%0D%0A%0D%0A%0D%0A:%0D%0A square coordinate units%0D%0A%0D%0AArea of %0D%0A△%0D%0AO%0D%0A′%0D%0AP%0D%0A′%0D%0AQ%0D%0A′%0D%0A:%0D%0A△%0D%0A%0D%0A'%0D%0A%0D%0A'%0D%0A%0D%0A'%0D%0A:%0D%0A square coordinate units
Part A:
Coordinates of points P′ and Q′:
P′(3, 8)
Q′(4, 0)
Part B:
Area of triangle OPQ: 108 square coordinate units
Area of triangle O′P′Q′: 36 square coordinate units