IXL | Describe transformations

The graph shows squares

and

Which of the following transformations maps

onto

translation right 6 units and up 12 units

translation right 12 units and up 6 units

reflection across the

-axis

reflection across the

-axis

rotation

clockwise around the origin

rotation

counterclockwise around the origin

rotation

180

around the origin

ref_doc_title.

Learn with an example

question

The graph shows quadrilaterals

and

Which of the following transformations maps

onto

translation left 5 units and up 3 units

translation left 3 units and up 5 units

reflection across the

-axis

reflection across the

-axis

rotation

clockwise around the origin

rotation

counterclockwise around the origin

rotation

180

around the origin

key idea

In a

translation,

every point in a figure moves the same distance and direction.

In a reflection across a line, every point in a figure moves to a point directly on the opposite side of the line. The new point and the original point are the same distance from the line.

In a

rotation,

every point in a figure moves the same angle and direction around a fixed point (or center of rotation).

solution

To determine which transformation maps

onto

look at each pair of corresponding points.

Notice the points in

and their corresponding points in

are all in the same position around the figure. For example,

and

are both in the bottom left corner and

and

are both in the top right corner.

This suggests a translation maps

onto

Now, look at a pair of corresponding points, for example

and

To map

onto

go left 5 units and up 3 units.

The same transformation applies for any pair of corresponding points. For example, to map

onto

you will, again, go left 5 units and up 3 units.

So, a translation left 5 units and up 3 units maps

onto

Looking for more? Try these:

Lesson: Transformations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

R.1Identify reflections, rotations, and translations

R.3Translations: graph the image

R.8Reflections: graph the image

R.10Rotations: graph the image

Lesson: Transformations

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