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Cogito

Integrated Math 1 · Chapter 6 · Lesson 1

Practice Worksheet

Rigid Transformations

Moving a shape without changing it.

12 problems · about 21 minutes · G-CO.A.2, G-CO.A.5

NameDate

Figure — use these to answer the problems

Try each transformation in turn. The shape moves, and its side lengths never change.
Units to slide3
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. Reflect (6, 2) across the y-axis. New x-coordinate?

    Answer

  2. What does a rigid transformation preserve?

    • Both lengths and angles.
    • Angles only.

  3. Translate (1, 1) up by 5. New y-coordinate?

    Answer

  4. Reflect (7, 2) across the y-axis. New x-coordinate?

    Answer

  5. Rotate (3, 5) by 180° about the origin. New x-coordinate?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Same rotation. New y-coordinate?

    Answer

  2. A shape has side 8. After a translation, what is that side length?

    Answer

  3. Which transformation reverses orientation? 1 translation, 2 reflection.

    Answer

Stretch Yourself

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

4 problems

  1. Match each transformation with its effect on a point.

    Draw a line from each item on the left to its match on the right.

    • Reflect across the x-axis
    • Reflect across the y-axis
    • Rotate 180 degrees about the origin
    • The y-coordinate negates
    • The x-coordinate negates
    • Both coordinates negate

  2. Translate (5, 5) left by 8. New x-coordinate?

    Answer

  3. The Slide

    Translate (2, 5) right by 4. What is the new x-coordinate?

    Answer

  4. The Flip

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

    Answer