IXL - Sequences of congruence transformations: graph the image (Geometry practice)

Graph the image of rectangle

after the following sequence of transformations:

Reflection across the

-axis

Translation 20 units right and 12 units down

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 (-10, -6). Point (-14, -6). Point (-14, -14). Point (-10, -14).

ref_doc_title.

Learn with an example

question

Graph the image of rectangle

after the following sequence of transformations:

Reflection across the line

Rotation

180

counterclockwise around the origin

key idea

When a point is reflected across a vertical line, only the

x-coordinate

changes.

The image of a point

(

)

rotated

180

counterclockwise around the origin is

(

–

)

solution

First, reflect

across

Since

(

–

)

is 13 units to the left of the line

its image is 13 units to the right of the line

(

–

)

↦

(

–

)

You can find

and

the same way. Draw

Second, rotate

180

counterclockwise around the origin. Use the transformation rule

(

)

↦

(

–

)

to find the image of each of its four vertices.

(

–

)

↦

(

–

)

(

–

)

↦

(

–

)

(

–

)

↦

(

–

)

(

–

)

↦

(

–

)

So, the image of

after reflecting across the line

and rotating

180

counterclockwise around the origin is

Looking for more? Try these:

Lesson: Translations

Lesson: Reflections

Lesson: Rotations

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.1Classify congruence transformations

H.2Translations: graph the image

H.5Reflections: graph the image

H.8Rotations: graph the image

H.11Glide reflections: graph the image

Lesson: Translations

Lesson: Reflections

Lesson: Rotations

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