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

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

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AequalsBsquared AequalsBsquared

04-10-2016
Mathematics

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

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

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JeanaShupp JeanaShupp · Answer 1 · 2019-01-28T10:55:54+01:00

Answer: *An image created by a reflection will always be congruent to its pre-image.

*Corresponding angles and segments are always congruent in a reflection of a figure.

*An image and its pre-image are always the same distance from the line of reflection.

Step-by-step explanation:

Since, reflection is a rigid transformation therefore, it preserves the shape of the figure and create congruent images.

And we know that if if two figures are congruent then their corresponding angles and sides are congruent.

Reflection maps a figure to create its mirror image, and the distance of object and image is always equal from the mirror, therefore "An image and its pre-image are always the same distance from the line of reflection."

raphealnwobi raphealnwobi · Answer 2 · 2022-02-17T13:55:43+01:00

A reflection is a transformation representing a flip of a figure. For reflection:

An image created by a reflection will always be congruent to its pre-image.

Corresponding angles and segments are always congruent in a reflection of a figure.

An image and its pre-image are always the same distance from the line of reflection.

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

A reflection is a transformation representing a flip of a figure. Reflection preserves the shape and size of the figure. Also, An image and its pre-image are always the same distance from the line of reflection.

Find out more on Transformation at: https://brainly.com/question/1462871