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Cogito

Integrated Math 2 · Chapter 4 · Lesson 1

Practice Worksheet

Dilations and Scale Factor

Changing size without changing shape.

12 problems · about 21 minutes · G-SRT.A.1, G-SRT.A.2

NameDate

Figure — use these to answer the problems

Change the scale factor. Every length multiplies by it, and every angle stays exactly as it was.
Scale factor2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. An area of 10 is dilated by a factor of 3. What is the new area?

    Answer

  2. Why does area scale by the square of the factor?

    • Area is a product of two lengths, and both are multiplied.
    • It is a separate rule with no reason behind it.

  3. Length 8 dilated by factor 2. New length?

    Answer

  4. Area 20 dilated by factor 2. New area?

    Answer

  5. Volume 5 dilated by factor 2. New volume?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. An angle of 50° dilated by factor 3. What is the new angle, in degrees?

    Answer

  2. Length 12 dilated by factor 0.5. New length?

    Answer

  3. Area 36 dilated by factor 0.5. New area?

    Answer

Stretch Yourself

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

4 problems

  1. Sort each quantity by whether a dilation changes it.

    Write each item under the heading it belongs to: Side lengths · Area · Angle measures · The overall shape

    Changes

    Stays the same

  2. Area 7 dilated by factor 4. New area?

    Answer

  3. The Enlargement

    A length of 5 is dilated by a factor of 3. What is the new length?

    Answer

  4. The Area

    An area of 12 is dilated by a factor of 3. What is the new area?

    Answer