IXL - Glide reflections: graph the image (Geometry practice)

Graph the image of rectangle

after the following glide reflection:

Translation 16 units up

Reflection across the

-axis

Coordinate plane graph with 4 quadrants, x-axis coordinates from -15 to 15, y-axis coordinates from -15 to 15. The following data are shown. Point (-13, -10). Point (-7, -4). Point (-4, -7). Point (-10, -13).

ref_doc_title.

Learn with an example

question

Graph the image of

△

after the following glide reflection:

Translation 17 units left

Reflection across the

-axis

key idea

A glide reflection is the composition of a translation followed by a reflection across a line parallel to the direction of the translation.

The image of a point

(

)

translated h units left is

(

–

The image of a point

(

)

reflected across the

x-axis

(

–

)

solution

First, translate

△

To translate the triangle 17 units left, use the transformation rule

(

)

↦

(

–

)

to find the image of each of its three vertices.

(

)

↦

(

–

)

(

)

↦

(

–

)

(

)

↦

(

–

)

Second, reflect

△

across the

-axis.

Use the transformation rule

(

)

↦

(

–

)

to find the image of each of its three vertices.

(

–

)

↦

(

–

)

(

–

)

↦

(

–

)

(

–

)

↦

(

–

)

So, the image of

△

after translating 17 units left and reflecting across the

-axis

△

Looking for more? Try these:

Lesson: Translations

Lesson: Reflections

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.2Translations: graph the image

H.5Reflections: graph the image

Lesson: Translations

Lesson: Reflections

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