7. To swap a figure to 90 degrees counter clock wise turn the points from (x,y) to (-y,x) Let’s get your points (-2,3) ; (-4,2) ; (-2,-4) Swap the values and make the new x’s negotiate (-3,-2) ; (-2,-4) ; (4,-2) These should be the points of the new figure with is 90 degrees counterclockwise of the first one. 10. To find x you can either: Add 93 and 54 Or Find the missing value of the triangle and subtract it from 180. Let’s do both x = 93 + 54 x = 147 Or 180 - 93 - 54 33 180 - 33 = 147 x = 147 8. First we dilate the coordinates by 0.5 (-4,6) ; (2,6) ; (2,-4) ; (-4,-4) Basically divide each x and by by two (-2,3) ; (1,3) ; (1,-2) ; (-2,-2) Two units left would be to subtract two from the x values (-4,3) ; (-1,3) ; (-1,-2) ; (-4, -2) Add three to each y value New coordinates: (-4,6) (-1,6) (-1,1) (-4,1) 6. Since these are the same circle, then we need to multiply the radius by 2 and then make the newly formed diameters equal to each other 2(6x) = 10x + 8 Multiply 12x = 10x + 8 Get x on one side 2x = 8 Divide x = 4 Plug in 4 for an equation 2(6(4)) 48 Circumference = pi * diameter Unsure if you use 3.14 for pi If you use 3.14 : (3.14) (48) = 150.72 If you use pi : Pi (48) (rounded) = 150.80