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Cogito

Grade 8 Math · Chapter 1 · Lesson 3

Practice Worksheet

What a Transformation Does to Coordinates

The rule behind the movement.

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

NameDate

Figure — use these to answer the problems

Slide the shape and watch every corner move by the same amount.
Units moved3
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Congruence”

    Congruent shapes, one side is 15. The matching side?

    Answer

  2. From “Moving a Shape Without Changing It”

    (2, 9) reflected across the vertical axis. New first coordinate?

    Answer

  3. From “Congruence”

    How is congruence defined?

    • One can be carried onto the other by rigid motions.
    • They look the same.

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. (6, −2) translated 3 left. What is the new x?

    Answer

  2. (1, 2) translated 5 up. What is the new y?

    Answer

  3. (−3, 4) reflected across the y-axis. What is the new x?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. (5, 0) reflected across the x-axis. What is the new y?

    Answer

  2. Does a translation change the size of a shape? 1 for yes, 0 for no.

    Answer

Stretch Yourself

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

2 problems

  1. The Slide

    (2, 5) is translated 4 right. What is the new x?

    Answer

  2. The Flip

    (3, 7) is reflected across the x-axis. What is the new y?

    Answer