Question

reflect the trapezoid across the y-axis. what are the new coordinates? *

Explanation:

Step1: Identify original coordinates

First, find the coordinates of the trapezoid's vertices from the graph. Let's assume the original vertices are: \( (3, 1) \), \( (4, 0) \), \( (5, 6) \), \( (6, 3) \) (we'll confirm by analyzing the graph's grid; each grid line is 1 unit).

Step2: Apply reflection over y - axis rule

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

• For the point \( (3, 1) \):

Applying the rule, \( x = 3 \), so \( -x=-3 \). The new coordinate is \( (-3, 1) \).

• For the point \( (4, 0) \):

Applying the rule, \( x = 4 \), so \( -x = - 4 \). The new coordinate is \( (-4, 0) \).

• For the point \( (5, 6) \):

Applying the rule, \( x = 5 \), so \( -x=-5 \). The new coordinate is \( (-5, 6) \).

• For the point \( (6, 3) \):

Applying the rule, \( x = 6 \), so \( -x=-6 \). The new coordinate is \( (-6, 3) \).

Answer:

The new coordinates after reflecting the trapezoid across the \( y \) - axis are \( (-3, 1) \), \( (-4, 0) \), \( (-5, 6) \), and \( (-6, 3) \).