Investigate Translation on a Coordinate System.
Investigate Reflection on a coordinate system.
(A). Grab a point on the triangle on the left (original figure) and move it around.
(B). Check each box in the figure below and answer the question that describes the reflection. Off-screen images can be brought in by pan and zoom.
Investigate Rotation on a Coordinate System.
(A). Click on the slider and move it to the right to see a rotation about a center within the figure.
(B). Locate center of rotation.
(C). Use the line tool to connect A and A’, B and B’, C and C’ . Note the point of intersection of all the lines.
(1). If you connect the points in the applet above, do they form an equilateral triangle? How can you prove it?
(2). If it is not an equilateral triangle, add another point D in a place that would make an equilateral triangle.