Geometry S1 v16 21-22 / Module 02: Transformations and Congruence Pentagon ABCDE is shown on the coordinate plane below: 7 6 A 5 + + B 3 E 2 1 + -8-7-6-5-4-3-2-1 + 1 2 3 4 5 6 7 8 С D -4 -5 -6 If pentagon ABCDE is rotated 180° around the origin to create pentagon A'B'C'D'E', what is the ordered pair of point D'? (2 points) (-1,2) (2, 1) O (1,-2) 0 (-2, -1)

Ok here we go ..there are plenty of ways to solve such math problems but we will go for the smartest and easiest ..5x+2y=7  -2x+6y=9we rearrange them into the following ..by multiplying the 1st equation by 2 it becomes 10x + 4y = 14we rearrange it and so it becomes 10x = 14 - 4yas for the second equation we multiply it by 5 and rearrange it so it becomes as to the following ..-10x + 30y = 45rearranging so 10x = 30y -45now 10x equals both 14 - 4y and 30y -45so   14 - 4y = 30y -4531 = 26yy= 31/26 = 1.19 or around 1.2so by now we can calculate x easily as  -2x+6y=9so 2x = 6y -9 = 6 * 31/26 - 9 = -1.84  then x = - 0.92 or around -0.9best luck!