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Cogito

Geometry · Chapter 2 · Lesson 2

Practice Worksheet

Transformations on Coordinates

What each motion does to a point.

11 problems · about 22 minutes · G-CO.A.2, G-CO.A.5

NameDate

Figure — use these to answer the problems

Rotate the shape and watch every corner move the same angle about the origin.

Degrees90

Figure 1

Warm Up

Straightforward practice. Get the method working first.

4 problems

(7, 2) reflected across the x-axis. New y?
Answer
(2, 6) reflected across the x-axis. New y?
Answer
(−3, 4) reflected across the y-axis. New x?
Answer
(1, 5) translated 4 up. New y?
Answer

Build It Up

The same ideas with more to keep track of.

3 problems

(2, 3) rotated 90° anticlockwise. New x?
Answer
Do rigid motions change side lengths? 1 for yes, 0 for no.
Answer
7
Match each motion to its coordinate rule.
Draw a line from each item on the left to its match on the right.
- Reflect across the y-axis
- Reflect across the x-axis
- Rotate 90° anticlockwise
- (−x, y)
- (x, −y)
- (−y, x)

Stretch Yourself

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

4 problems

(0, 4) rotated 180° about the origin. New y?
Answer
(6, 6) reflected across the line y = x. New x?
Answer
Reflecting
(5, 2) reflected across the y-axis. What is the new x?
Answer
Translating
(4, 7) translated 3 left. What is the new x?
Answer