Question

ASAP i have two other math questions i have 100 points on each of them

Use the graph to answer the question.

Graph of polygon VWXYZ with vertices at 3 comma 2, 3 comma 0, 6 comma negative 7, 9 comma 0, 9 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at 3 comma negative 10, 3 comma negative 8, 6 comma negative 1, 9 comma negative 8, 9 comma negative 10.

Determine the line of reflection.

Reflection across the x-axis
Reflection across the y-axis
Reflection across x = 6
Reflection across y = −4

Answer 1

The correct answer is d.

Answer 2

Answer: Option (D): Reflection across y = -4

Explanation:

To determine the line of reflection, we can find the midpoints of corresponding sides of the polygons and then find the line passing through the two midpoints.

The midpoints of corresponding sides of VWXYZ and V'W'X'Y'Z' are as follows:

VW and V'W': Midpoint is ((3+3)/2, (2-10)/2) = (3, -4)

WX and W'X': Midpoint is ((6+6)/2, (-7-1)/2) = (6, -4)

XY and X'Y': Midpoint is ((9+9)/2, (0-8)/2) = (9, -4)

YZ and Y'Z': Midpoint is ((9+6)/2, (2-1)/2) = (7.5, 0.5)

VZ and V'Z': Midpoint is ((3+9)/2, (2-10)/2) = (6, -4)

So the midpoints of the corresponding sides of the two polygons are collinear, and the line passing through these midpoints is the line of reflection.

The line passing through (3,-4) and (9,-4) is the horizontal line y = -4. Therefore, the line of reflection is the reflection across the horizontal line y = -4.

So the answer is option (d): Reflection across y = −4.

Hope this helps :)