Polygon abcde is the first in a pattern for a high school art project. the polygon is transformed so that the image of a' is at (−2, 4) and the image of d' is at (−1, 2). which transformation can be used to show that abcde and its image are congruent?

a. rotate abcde 90° counterclockwise.

step-by-step explanation:

when we rotate a point through 90° counterclockwise, the mapping is

(x,y)→ (-y,x)

the coordinates of a are (2,4) and the coordinates of a' are (-4,2)

the coordinates of d are (1,2) and the coordinates of d' are (-2,1).

we can observe that the x and y coordinates swapped position and the first coordinate was then negated.

this is a 90° counterclockwise rotation about the origin.

since rotation is a rigid motion the two shapes are congruent.

the correct answer is

a. rotate abcde 90° counterclockwise.

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system

$75.00

step-by-step explanation:

i = prt

i = 1,5000 * 0.025 * 2

i = 75