Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

10. reflect △fev across the line y = 1 to create △fev. then list the co…

Question

  1. reflect △fev across the line y = 1 to create △fev. then list the coordinates of each figure.

Explanation:

Step1: Recall reflection rule

The rule for reflecting a point $(x,y)$ across the line $y = k$ is $(x,2k - y)$. Here $k = 1$, so the rule is $(x,2 - y)$.

Step2: Assume coordinates

Let's assume the coordinates of points $F=(x_1,y_1)$, $E=(x_2,y_2)$ and $V=(x_3,y_3)$ from the grid.

Step3: Calculate reflected - coordinates

For point $F$: The reflected point $F'=(x_1,2 - y_1)$.
For point $E$: The reflected point $E'=(x_2,2 - y_2)$.
For point $V$: The reflected point $V'=(x_3,2 - y_3)$.

Answer:

Pre - IImage
$E(x_2,y_2)$$E'(x_2,2 - y_2)$
$V(x_3,y_3)$$V'(x_3,2 - y_3)$