IXL | Sequences of congruence transformations: choose the sequence

The graph shows triangles

and

Which sequence of transformations maps

onto

a rotation

180

around the origin followed by a translation right 1 unit and up 2 units

a translation left 1 unit and down 6 units followed by a reflection across the

-axis

a reflection across the

-axis

followed by a rotation

counterclockwise around the origin

ref_doc_title.

Learn with an example

question

The graph shows triangles

and

Which sequence of transformations maps

onto

a translation left 1 unit and up 9 units followed by a rotation

counterclockwise around the origin

a rotation

clockwise around the origin followed by a reflection across the

-axis

a reflection across the

-axis

followed by a translation left 12 units

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

This sequence of transformations maps

onto

green checkmark, a rotation clockwise around the origin followed by a reflection across the -axis

First, rotate clockwise around the origin to map it onto . Then, reflect across the -axis to map it onto .

These sequences do not map

onto

red X symbol, a translation left 1 unit and up 9 units followed by a rotation counterclockwise around the origin

First, translate left 1 unit and up 9 units to map it onto . Then, rotate counterclockwise around the origin. This does not map onto .

red X symbol, a reflection across the -axis followed by a translation left 12 units

First, reflect across the -axis to map it onto . Then, translate left 12 units. This does not map onto .

Looking for more? Try these:

Lesson: Transformations

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Work it out

Not feeling ready yet? These can help:

R.13Describe transformations

R.14Sequences of congruence transformations: graph the image

R.2Describe a sequence of transformations

Lesson: Transformations

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