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Cogito

Geometry · Chapter 2 · Lesson 3

Practice Worksheet

Dilations and Scale Factor

The one transformation that changes size.

11 problems · about 22 minutes · G-SRT.A.1

NameDate

Figure — use these to answer the problems

Change the scale factor and watch lengths change while angles hold.
Scale factor2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Area 4, factor 3. New area?

    Answer

  2. (3, 7) dilated by 4. New y?

    Answer

  3. Area 6, factor 3. New area?

    Answer

  4. Factor 5. By what does area scale?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Does a dilation change angles? 1 for yes, 0 for no.

    Answer

  2. (8, 6) dilated by ½. New x?

    Answer

  3. A factor of 1. Is the figure unchanged? 1 for yes, 0 for no.

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. Volume scales by which power of k? Give the power.

    Answer

  2. Sort each quantity by how it scales under a dilation of factor k.

    Write each item under the heading it belongs to: Side length · Area · Angle measure · Perimeter

    By k

    By k²

    Unchanged

  3. The Point

    (4, 5) dilated by 3 from the origin. New x?

    Answer

  4. The Area

    Area 5, dilated by factor 2. New area?

    Answer