Question

1. reflect figure opqr over the x - axis. record the coordinates for p. (-3,-2) 10. translate figure stuv 7 units down and 5 units left. record the coordinates for t. (-1,0)

Explanation:

Step1: Recall reflection rule over x - axis

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

Step2: Identify original coordinates of P

Assume the original coordinates of point P are $(- 3,2)$.

Step3: Apply the reflection rule

When we reflect $(-3,2)$ over the x - axis, using the rule $(x,-y)$, we get $(-3,-2)$.

Step4: Recall translation rule

The rule for translating a point $(x,y)$ 7 units down and 5 units left is $(x - 5,y - 7)$.

Step5: Identify original coordinates of T

Assume the original coordinates of point T are $(4,7)$.

Step6: Apply the translation rule

For the x - coordinate: $4-5=-1$. For the y - coordinate: $7 - 7=0$. So the new coordinates of T' are $(-1,0)$.

Answer:

1. (-3,-2)
2. (-1,0)