Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

write the coordinates of the vertices after a reflection over the y - a…

Question

write the coordinates of the vertices after a reflection over the y - axis.
k
(□,□)
l
(□,□)
m
(□,□)

Explanation:

Step1: Find original coordinates

From the graph, we can see:

  • Point \( K \) is at \( (-9, 5) \)
  • Point \( L \) is at \( (0, 5) \)
  • Point \( M \) is at \( (-8, 3) \)

Step2: Apply reflection over y - axis rule

The rule for reflecting a point \( (x, y) \) over the \( y \)-axis is \( (x, y)\to(-x, y) \).

For point \( K(-9, 5) \):
Applying the rule, \( x=-9\), so \( -x = 9 \), \( y = 5 \). So \( K'=(9, 5) \)

For point \( L(0, 5) \):
Applying the rule, \( x = 0\), so \( -x=0 \), \( y = 5 \). So \( L'=(0, 5) \)

For point \( M(-8, 3) \):
Applying the rule, \( x=-8\), so \( -x = 8 \), \( y = 3 \). So \( M'=(8, 3) \)

Answer:

\( K'(9, 5) \)
\( L'(0, 5) \)
\( M'(8, 3) \)