Definition of Similarity in Terms of Similarity Transformations
DIRECTIONS
Use the toolbar to rotate, translate, reflect or dilated one triangle to map it onto the other.
The MOUSE button lets you select an object. Always select the mouse button after using any tool on the toolbar.
Select the REFRESH button in the upper left corner to reset the triangles.
DILATION --> Click the Dilate From a Point button on the toolbar. Click on the triangle you want to dilate, then the point you want to dilate around. A box will appear to enter the scale factor. Type ScaleFactor EXACTLY, then enter. If done correctly, the triangle should enlarge or reduce as you move the ScaleFactor slider.
ROTATION --> Click the Rotate about a Point button on the toolbar. Click on the triangle you want to rotate, then the point you want to rotate around. A box will appear to enter the angle of rotation. Type Angle EXACTLY, then enter. If done correctly, the triangle should rotate around the selected point as you move the Angle slider.
REFLECTION --> Click the Reflect about a Line button on the toolbar. Click on the triangle you want to reflect, then the side of the triangle you want to reflect across. If done correctly, the triangle should reflect over the side of the triangle you selected.
TRANSLATION --> (STEP 1) Click the Vector button on the toolbar. Click the point on the triangle you want to translate, followed by the point on the OTHER triangle you want to map the first triangle onto. (For example, click on point D then point A to translate point D onto point A). (STEP 2) Click the Translate by Vector on the toolbar. Click on the triangle you want to translate and the vector you created in step 1. If done correctly, the triangle you selected should translate onto the other triangle.