Question

3 fill in the blank 25 points given △jkl with points j(1, -2), k(4, -1), and l(3, -3), graph it, and its reflection in over each line. then fill in the points for △jkl in the space provided. dado △jkl con los puntos j(1, -2), k(4, -1) y l(3, -3), graficarlo, y su reflejo en cada línea. a continuación, rellene los puntos para △jkl en el espacio proporcionado. reflection line (linea de reflexión:): y = x answer: j ( type your answer... , type your answer... ) k ( type your answer... , type your answer... ) l ( type your answer... , type your answer... )

Explanation:

Step1: Recall reflection over \( y = x \)

To reflect a point \((a, b)\) over the line \( y = x \), we swap the \( x \)-coordinate and the \( y \)-coordinate. So the reflection of \((a, b)\) is \((b, a)\).

Step2: Reflect point \( J(1, -2) \)

For \( J(1, -2) \), swapping \( x \) and \( y \) gives \( J'(-2, 1) \).

Step3: Reflect point \( K(4, -1) \)

For \( K(4, -1) \), swapping \( x \) and \( y \) gives \( K'(-1, 4) \).

Step4: Reflect point \( L(3, -3) \)

For \( L(3, -3) \), swapping \( x \) and \( y \) gives \( L'(-3, 3) \).

Answer:

\( J'(-2, 1) \)
\( K'(-1, 4) \)
\( L'(-3, 3) \)