|
Rigid transformations are changes in position or orientation of a figure. Rigid transformations include: •translations - slides along a straight line • reflections - flips over a line of reflection • rotations - turns on a fixed point. Translations are best described as: changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns around a fixed point Reflections are best described as: changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns around a fixed point Rotations are best described as: changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns around a fixed point translation Identify the transformation shown in the diagram: reflection rotation translation reflection rotation Identify the transformation shown in the diagram: translation reflection rotation Identify the transformation shown in the diagram: (3,2) → (-3,2) What transformation is the following rule? (x, y) → (-x, y) Rotation Reflection Translation (-2,3) → (2,-3) What transformation is the following rule? (x, y) → (-x, -y) Translation Rotation of 180 degreesReflection (-1, 1) → (2, -3) What transformation is the following rule? (x, y) → (x + 3, y - 4) Reflection Rotation Translation When a shape is reflected across the "x" axis it is an up and down change. This changes the sign of which coordinate in the ordered pair? the "x" coordinate the"y" coordinate When a shape is reflected across the "y" axis it is a sideways flip. This changes the sign of which coordinate in the ordered pair? the "x" coordinate the "y" coordinate both the x and y Give the coordinates after a reflection over the x-axis. A(4, -3) A'( , ) Give the coordinates after a translation using the following rule: (x - 5, y + 4) W(3, -7) W'( , ) Give the coordinates for the following trianglewhen rotated 90 degrees clockwise. A(-4, 1) B(-3, 6) C(0, 6) A'( , ) B'( , ) C'( , ) A B C Give the coordinates for the triangle when reflected over the y-axis. A(6, -2) B(5, -9) C(8, -4) A'( , ) B'( , ) C'( , ) changes in position or orientation of a figure slides along a straight line flips overs a line of reflection turns around a fixed point Rigid transformations are best described as: |