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Cogito

Grade 8 Math · Chapter 2 · Lesson 3

Practice Worksheet

Dilations on the Coordinate Plane

Multiply both coordinates by the scale factor.

10 problems · about 19 minutes · 8.G.A.3

NameDate

Figure — use these to answer the problems

Change the scale factor. Angles hold their measure while lengths change.
Scale factor2
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Similar Figures”

    Similar figures. 4 matches 10. Another side is 6. Its match?

    Answer

  2. From “Dilations”

    A side of 9 dilated by 3. New length?

    Answer

  3. From “Sequences of Moves”

    Rotated 90° three times. Total turn in degrees?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. (4, −3) dilated by 5. What is the new y?

    Answer

  2. (2, 7) dilated by 3. What is the new y?

    Answer

  3. (10, 6) dilated by ½. What is the new x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

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

    Answer

  2. A factor of 1. How many times bigger is the figure?

    Answer

Stretch Yourself

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

2 problems

  1. The Enlargement

    (3, 5) dilated by 2 from the origin. What is the new x?

    Answer

  2. The Reduction

    (8, 4) dilated by ½ from the origin. What is the new y?

    Answer