🔍Translations involve shifting a graph left, right, up, or down on a coordinate plane.
🔄Reflections flip a figure over either the x-axis, y-axis, or the origin.
🔄Reflecting over the x-axis multiplies the y-coordinate by -1; reflecting over the y-axis multiplies the x-coordinate by -1.
🔄Rotations involve rotating a figure around a given point by a specific angle.
🔄Understanding transformations is important in geometry and can help analyze and manipulate figures in a coordinate plane.
What is the process of translating a graph?
—Translating a graph involves shifting it left, right, up, or down by a certain number of units.
How do reflections affect a figure?
—Reflections can flip a figure over the x-axis, y-axis, or the origin, changing its orientation.
What happens when you reflect over the x-axis?
—Reflecting over the x-axis multiplies the y-coordinate by -1, while the x-coordinate remains the same.
What is a rotation in geometry?
—A rotation involves rotating a figure around a given point by a specific angle.
Why is understanding transformations important in geometry?
—Understanding transformations helps analyze and manipulate figures in a coordinate plane, aiding in solving geometry problems and working with geometric shapes.
00:01Introduction to transformations: translations, reflections, and rotations.
00:11Translations involve shifting a graph left, right, up, or down on a coordinate plane.
00:36Explaining the process of translating a graph and its effect on the x and y coordinates.
03:39Reflections flip a figure over either the x-axis, y-axis, or the origin.
06:41How reflecting over the x-axis and y-axis affects the coordinates of a figure.
11:23Rotations involve rotating a figure around a given point by a specific angle.
13:34Understanding quadrants and summarizing the reflections over the x-axis and y-axis.
17:23Reflections over the origin and how they change the signs of the coordinates.
19:59Importance of understanding transformations in geometry and their applications.
