Mathematics

### Question Description

16.) Your rule needs to encompass the change in x and the change in y coordinates. The change of x is found by taking the starting vertex of (-1, 3) and the ending vertex of (0,0). To get from -1 to 0 is 1 unit to the right, making it an +1 move. The change of y is found by taking the starting vertex of (-1, 3) and the ending vertex of (0,0). To get from 3 to 0 is 3 units down, making it a -3 move.

The rule for this translation would be {x+1, y-3}.

18.) Again, your rule needs to encompass the change in x and the change in y coordinates. The change of x is found by taking the starting vertex of (2, 2) and the ending vertex of (-2,-1). To get from 2 to -2 is 4 units to the left, making it a -4 move. The change of y is found by taking the starting vertex of (2, 2) and the ending vertex of (-2,-1). To get from 2 to -1 is 3 units down, making it a -3 move.

The rule for this translation would be {x-4, y-3}.

20.) Think of the directions as they relate to the coordinate plane. North (+) and south(-) represent changes in y and east(+) and west(-) represent changes in x. Enid +107 miles east -83 miles west is 24 miles east of Norman. Enid -18 miles south - 63 miles south is 81 miles south of Norman.

So, Enid is 24 miles east and 81 miles south of Norman.

22.) P'L'A'T' can be found by altering the original shape's points using the given rule, x+2, y-3.

P'= -2 +2, 0-3 = P'(0, -3)

L'= -1 +2,1-3 = L'(1, -2)

A'= 0+2, 1-3 = A' (2, -2)

T'= -1+2, 0-3 = T' (1, -3)

You can then graph both shapes, which will show that the lines are parallel. You can also explain that translations do not alter the angle of the given shape, resulting in a sliding action rather than a twisting or flipping action on the coordinate plane.

I hope you find this helpful!

mapcotter (38)
University of Maryland
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