Question

On a coordinate plane, 2 triangles are shown. Triangle J K L has points (2, negative 4), (5, negative 4), (2, negative 2). Triangle J double-prime K double-prime L double-prime has points (2, 2), (2, 5), (0, 2). Which rule describes the composition of transformations that maps ΔJKL to ΔJ"K"L"? a)90 degree rotation about point 0 composition translation of 0 units x, negative 2 units y b)Translation of 0 units x, negative 2 units y composition 90 degree rotation about point 0 c)90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y d)Translation of negative 2 units x, 0 units y composition 90 degree rotation about point 0

Answer 1

Answer:

c

Step-by-step explanation:

c

Answer 2

Answer:

c)90 degree rotation about point 0 composition translation of negative 2 units x, 0 units y

Step-by-step explanation:

Rotation 90° counterclockwise about the origin transforms point (x,y) into (-y,x). Applying it to Triangle JKL we get Triangle J'K'L' as follows:

Triangle JKL

(2, -4), (5, -4), (2, -2)

Triangle J'K'L'

(4, 2), (4, 5), (2, 2)

Translation -2 units on x-axis transforms point (x,y) into (x-2, y). Therefore:

Triangle J''K''L''

(2, 2), (2, 5), (0, 2)