ROTATIONS IN THE COORDINATE PLANE
- Author:
- Suzanne Harper
1. Construct ΔABC in the first quadrant where its vertices are on the grid. measure the coordinates of each vertex and record it below. A = ______ B = ______ C = ______
2. Make a prediction where the image of ΔABC would lie once rotated 90° about the origin. Rotated 90° about the origin prediction: A′ = ______ B′ = ______ C′ = ______ Then rotate ΔABC 90° about the origin to assess your prediction. Record your results below. Rotated 90° about the origin actual: A′ = ______ B′ =______ C′ = _______
3. Drag the vertices to different locations on the grid and look for a relationship between a point’s coordinates and the coordinates of the rotated image about the origin by 90°. Describe any relationship you observe between the coordinates of the vertices of your original triangle and the coordinates of the rotated image about the origin by 90°.
4. Make a prediction where the image of ΔABC would lie once rotated 180° about the origin. Rotated 180° about the origin prediction: A′ = ______ B′ = ______ C′ = ______ Then rotate ΔABC 180° about the origin to assess your prediction. Record your results below. Rotated 180° about the origin actual: A′ = ______ B′ =______ C′ = _______
5. Drag the vertices to different locations on the grid and look for a relationship between a point’s coordinates and the coordinates of the rotated image about the origin by 180°. Describe any relationship you observe between the coordinates of the vertices of your original triangle and the coordinates of the rotated image about the origin by 180°.
6. Make a prediction where the image of ΔABC would lie once rotated 270° about the origin. Rotated 270° about the origin prediction: A′ = ______ B′ = ______ C′ = ______ Then rotate ΔABC 270° about the origin to assess your prediction. Record your results below. Rotated 270° about the origin actual: A′ = ______ B′ =______ C′ = _______
7. Drag the vertices to different locations on the grid and look for a relationship between a point’s coordinates and the coordinates of the rotated image about the origin by 270°. Describe any relationship you observe between the coordinates of the vertices of your original triangle and the coordinates of the rotated image about the origin by 270°.
8. Make some overall general statements about rotations.