Respuesta :

Answer:

J'= (-7,-4)

Step-by-step explanation:

A reflection over the y axis goes by the rule (x,y) --> (-x,y)

In triangle IJK reflected coordinates of the J' after the reflection over the y-axis is (-10, -8)

What is reflection?

The reflection of a plane or shape is flipping the original figure with respect to a reference line.

Following steps are used to for reflecting a shape-

  • Select the shape which has to be reflected.

  • Select a base line or reference line over which the shape has to be reflected.

  • Mark the corners of the shape at the equidistant from the reference line as the original shape has, but in the opposite direction.

  • The reflected shape is now is facing the opposite direction.

Given information-

The coordinates point of the triangle IJK is I(5,-8) J(10,-8) k(7,-4).

The triangle needs to be reflected over the y- axis.

As the given triangle need to be reflected over the y axis. Thus the points of x axis changed in the opposite direction and the point of y axis remain same.

The coordinates point of the triangle IJK is I(5,-8) J(10,-8) k(7,-4). Thus the reflected coordinates of I should be,

[tex]I'=I((-5),-8)\\I'=I(-5,-8)[/tex]

Thus the reflect coordinates of I is (-5, -8)

Similarly reflected coordinates of J should be,

[tex]J'=J((-10),-8)\\J'=J(-10,-8)[/tex]

Thus the reflect coordinates of J is (-10, -8)

Similarly reflected coordinates of K should be,

[tex]K'=K((-7),-4)\\I'=I(-7,-8)[/tex]

Thus the reflect coordinates of K is (-7, -4)

Thus in triangle I'J'K' reflected coordinates of the J' after the reflection over the y-axis.

Learn more about the reflection here;

https://brainly.com/question/1908648

Otras preguntas