3. what is true for an image and a preimage in a reflection?
a. the image is larger than the preimage.
b. the image is smaller than the preimage.
c. the image and the preimage have the same orientation.
d. the image and the preimage have different orientations.
4. in the graph below, what is the line of reflection for xyz and x'y'z'?

a. the x­axis
b. the y­axis
c. x = 2
d. y = 2
5. what is the image of a(3, –1) after a reflection, first across the line y = 3, and then across the line x =
–1?
a. (–5, 7)
b. (3, –1)
c. (–5, –1)
d. (1, –5)

1. Answer;

-D. The image and the pre-image have different orientations.

Explanation;

-A reflection is a transformation in which each point of the pre-image has an image that is the same distance from the line of reflection as the original point but on the opposite side of the line.

Reflection does not preserve the orientation of the pre-image.

2. Answer;

C. x = 2

In the graph, the line x= 2 is the line of reflection for XYZ and X'Y'Z'.

Explanation;

-The line of reflection or the mirror line lies directly in the middle between the original figure and its image. It is always the perpendicular bisector of the lines linking corresponding points in the original and the image.

3. Answer;

(-5, 7)

Explanation;

The point (-5, 7) is the image of A(3, -1) after a reflection, first across the line y = 3, and then across the line x = -1. A reflection or a flip is a transformation in which each point of a figure has an image that is equal in distance from the line of reflection but on the opposite side.

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