Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Grade 8 Math · Chapter 1 · Lesson 1

Practice Worksheet

Moving a Shape Without Changing It

Slides, flips, and turns.

8 problems · about 18 minutes · 8.G.A.1

NameDate

Figure — use these to answer the problems

Slide the shape. Compare it with the dashed original.
Slide by3
Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. (2, 9) reflected across the vertical axis. New first coordinate?

    Answer

  2. What does a rigid motion preserve?

    • Lengths and angles.
    • The position on the grid.

  3. (1, 3) translated 5 right. New first coordinate?

    Answer

  4. (6, 2) reflected across the vertical axis. New first coordinate?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. (3, 8) reflected across the horizontal axis. New second coordinate?

    Answer

  2. Does a rigid motion change side lengths?

    • No.
    • Yes.

Stretch Yourself

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

2 problems

  1. The Slide

    A point at (2, 5) is translated 3 right. What is its new first coordinate?

    Answer

  2. The Flip

    A point at (4, 7) is reflected across the vertical axis. What is its new first coordinate?

    Answer