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AssignmentMultiple Select

Reflections

Question 4 • FL-1205070-M/J Grade 8 Pre-Algebra B

Which of the following statements are true about a reflection? Select all that apply.

Answer
A
An image created by a reflection will always be congruent to its pre-image.
B
Corresponding angles and segments are always congruent in a reflection of a figure.
C
Reflections can only be constructed across horizontal or vertical lines.
D
Reflections may change the size of a pre-image.
E
An image and its pre-image are always the same distance from the line of reflection.

Explanation

A reflection is a rigid transformation, so it preserves lengths and angle measures. Therefore, the image is congruent to its pre-image, and corresponding angles and segments are congruent (A and B). Each point and its reflected image lie the same perpendicular distance from the line of reflection, so E is true. A reflection can be made across any line, not just horizontal or vertical ones, and it does not change the figure’s size, so C and D are false.

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