Question

multi-step example
samantha drew a map of the park in her neighborhood. she put a
point on the grid for the playground. the fountain is located at the
reflection of the location of the playground across the y - axis. the
picnic tables are located at the reflection of the location of the
fountain across the x - axis. what ordered pair describes the location
of the picnic tables? 6.ns.6b, mp 1

use a problem - solving model to solve this problem.
1 analyze
read the problem. circle the information you know.
underline what the problem is asking you to find.
2 plan
what will you need to do to solve the problem? write your plan in steps.
step 1 identify the ordered pair for the playground.
step 2 identify the reflection across the y - axis for the
location of the fountain.
step 3 identify the reflection across the x - axis for the
location of the picnic tables.
3 solve
use your plan to solve the problem. show your steps.
the ordered pair for the playground is ______.
the reflection across the y - axis for the location of the fountain is ______.
the reflection across the x - axis for the location of the picnic tables is ______.
so, the location of the picnic tables is at ______.
4 justify and evaluate
how do you know your solution is reasonable?
_________________________________________
_________________________________________
_________________________________________

read to
succeed!
when locating points on a
grid, begin at the origin and
move horizontally along the
x - axis and then move
vertically along or parallel
to the y - axis.

Explanation:

Step1: Identify Playground's Coordinates

From the grid, the playground is at $(-3, 4)$ (move 3 left on x - axis, 4 up on y - axis).

Step2: Reflect Over y - axis (Fountain)

Reflection over y - axis: $(x,y)\to(-x,y)$. So for $(-3,4)$, it becomes $(3, 4)$.

Step3: Reflect Over x - axis (Picnic Tables)

Reflection over x - axis: $(x,y)\to(x,-y)$. So for $(3,4)$, it becomes $(3, - 4)$.

Answer:

The location of the picnic tables is at $(3, - 4)$.