Question

10.) MA11.3.2.g, MA 11.3.MATriangle JKL has coordinates at J(-1,5), K(1,2), and L(-3,-1). Determine the location of thecoordinates after each transformation.а.Reflection in the x-axis: J'(-1,-5), K (1,-2), L'(-3 , 1))),KI), Lil។b. Translation along the vector <-2, 4>: J'(C.90 degree counterclockwise rotation around the origin:i. J'(), K'(), L'()

Answer 1

-SOLUTION:

Step 1:

In this question, we are given that Triangle JKL has coordinates at

J(-1, 5), K (1, 2) and L(-3, -1).

We are meant to determine the coordinates after each transformation.

Step 2:

a) Reflection in the x-axis:

`J^I(-1,-5),K^{I\text{ }}(1,-2),L^I(\text{ - 3, 1)}`

Step 3:

b) Translation along the vector

`<-2,\text{ 4}>`
`=J^I(-3,9),K^I(-1,6),L^I(\text{ -5, 3)}`

Step 4:

c) 90-degree counterclockwise rotation around the origin: ( x, y) --- ( -y , x)

`J^I(-5,-1),K^I(-2,1),L^{I\text{ }}(\text{ 1, - 3)}`