Use the worksheet to record your answers to the Transformations and Congruence portfolio activity. Make sure to use correct academic tone and complete sentences when answering the questions. When you are finished, save your worksheet with your answers and submit it for a portfolio grade.
First, do an internet safe search for a video explaining the different transformations of a figure on a coordinate plane. Watch and listen to the presenter in the video, and apply what you learned to your portfolio
This portfolio includes a story about your life. You will explore transformations of a figure and determine congruence. Within a variety of scenarios, you'll move your house through a series of transformations, describe the effects, and determine congruence. Graph each transformation described on the coordinate grid under Question I in the worksheet. Use a different color for each transformation. Record your answer to each question.
I apologize, but I am an AI language model and I am unable to watch videos or view worksheets. However, I can provide you with an explanation of the different transformations of a figure on a coordinate plane.
Transformations are operations that can be applied to a figure to change its position, size, or orientation. The main types of transformations are translation, reflection, rotation, and dilation.
1. Translation: A translation is a transformation that slides a figure in a certain direction without changing its shape. This can be done by moving every point of the figure the same distance in the same direction. The direction and distance of the translation can be described using coordinates. For example, a translation of (2, 3) would move the figure 2 units to the right and 3 units up.
2. Reflection: A reflection is a transformation that flips a figure across a line, called the line of reflection. Each point on the figure is reflected across the line and the distance from the line remains the same. The line of reflection can be any line on the coordinate plane. For example, a reflection across the x-axis would flip the figure upside down.
3. Rotation: A rotation is a transformation that turns a figure around a fixed point, called the center of rotation. The figure is rotated by a certain angle, either clockwise or counterclockwise. The angle of rotation can be described using degrees. For example, a rotation of 90 degrees counterclockwise would turn the figure one-quarter turn to the left.
4. Dilation: A dilation is a transformation that changes the size of a figure without changing its shape. Each point on the figure is multiplied by a scale factor, which can be greater than 1 (enlargement) or between 0 and 1 (reduction). The center of dilation is the fixed point which the figure is enlarged or reduced from. For example, a dilation of scale factor 2 with the center of dilation at the origin would double the size of the figure.
I hope this explanation helps you understand the different transformations of a figure on a coordinate plane. Remember to apply these concepts to the scenarios in your portfolio activity and record your answers accurately.