COORDINATE GEOMETRY · TRANSFORMATIONS · INVESTIGATION 18

Vector & Coordinate Transformation Lab

Translate, reflect and rotate a point on the coordinate plane and compare its coordinates before and after transformation.

Guided discoveryLive mathematical modelPractical recordAssessment

Student nameClass / sectionRoll numberExperiment date

Interactive mathematical workspace

Live simulation

The model updates as you adjust the apparatus controls. Values are simulated mathematical outputs, not physical measurements.

Primary result—

Secondary result—

Relationship—

Check—

Adjust a control to begin the investigation.

To investigate Vector & Coordinate Transformation Lab using a dynamic mathematical model and justify a conclusion from recorded values.

Reflect x-axis → rotate θ → translate (k, k)

Enter student details and note the initial settings.

Change one independent variable while keeping the others fixed.

Observe the visual model and note the calculated values.

Repeat with at least three different settings and record the readings.

Use the pattern in your observations to write a mathematical conclusion.

Independent: the control being changed. Dependent: calculated result. Controlled: other settings held constant.

Guided investigation: Apply a translation, reflection and rotation. Record how distance from origin changes.

Reflect across x-axis, rotate, then translate by (k,k)

The working will appear here.

Trial	Settings	Result 1	Result 2
Run and record trials to populate this table.

Compare the readings and identify the pattern.

Hypothesis / prediction

Observations and evidence

Conclusion

Sources of error / limitations

#	Settings	Result 1	Result 2	Time

Select the best answer. Feedback is provided after checking.

Assessment score0 / 5

Rotate (3,2) by 90° anticlockwise about the origin.