Question

for questions 1-8, identify the line of ref

1. point d (9, -8) is

reflected to d’ (9, 8).

1. a figure is

from quadr
quadrant iii
y axis
x a

1. a figure is reflected

from quadrant i to
quadrant ii.
6.

1. reflect the figure shown over

record the coordinates of the i
graph with points a and t

Explanation:

Question 1:

Step1: Analyze coordinates of D and D'

Point \( D(9, -8) \) and \( D'(9, 8) \). The x - coordinate remains the same (\( x = 9 \)), and the y - coordinate changes sign.

Step2: Determine the line of reflection

When reflecting a point \((x,y)\) over the x - axis, the image is \((x, -y)\), and when reflecting over the y - axis, the image is \((-x,y)\). Here, since \( y \) changes sign and \( x \) stays the same, the line of reflection is the x - axis (the original answer "y axis" is incorrect). The rule for reflection over the x - axis is \((x,y)\to(x, -y)\) (in reverse here, from \((x,-y)\) to \((x,y)\), which is also a reflection over the x - axis).

Step1: Recall quadrant coordinates

In Quadrant I, points have \((+,+)\) coordinates, and in Quadrant II, points have \((-,+)\) coordinates.

Step2: Determine the line of reflection

For a point to go from Quadrant I \((x,y)\) to Quadrant II \((-x,y)\), the x - coordinate changes sign while the y - coordinate remains the same. This is the rule for reflection over the y - axis (\( x = 0 \)).

Answer:

x - axis

Question 5: