Foxy112908idn
Answered

Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Get the information you need from our community of experts who provide accurate and comprehensive answers to all your questions.

Polygon JKLM is drawn with vertices J(−4, −3), K(−4, −6), L(−1, −6), M(−1, −3). Determine the image coordinates of K′ if the pre-image is reflected across y = −4.
K′(−4, −4)
K′(4, −6)
K′(−4, 6)
K′(−4, −2)

Sagot :

Chibabykalu16idn

Answer:

K'(-4, -2)

Step-by-step explanation:

To determine the image coordinates of [tex] K' [/tex] when the pre-image is reflected across the line [tex] y = -4 [/tex], we need to follow these steps:

1. Identify the y-coordinate of point [tex] K [/tex], which is [tex] -6 [/tex].

2. Calculate the distance from [tex] K [/tex] to the line [tex] y = -4 [/tex]:

[tex] \text{Distance} = -4 - (-6) = 2 [/tex]

3. Reflect [tex] K [/tex] across the line [tex] y = -4 [/tex] by moving the same distance on the other side of the line:

[tex] y' = -4 + 2 = -2[/tex]

The x-coordinate of [tex] K [/tex] remains the same because the reflection is only in the y-direction.

Therefore, the coordinates of K' are (-4, -2).

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for answers ends at IDNLearn.com. Thank you for visiting, and we hope to assist you again soon.