![]() ![]() In fact, there is an unlimited variation, there's an unlimited numberĭifferent transformations. That is a translation,īut you could imagine a translation is not the If I put it here every point has shifted to the right one and up one, they've all shifted by the same amount in the same directions. In the same direction by the same amount, that's Shifted to the right by two, every point has shifted This one has shifted to the right by two, this point right over here has Just the orange points has shifted to the right by two. Onto one of the vertices, and notice I've now shifted Let's translate, let's translate this, and I can do it by grabbing That same direction, and I'm using the Khan Academy To show you is a translation, which just means moving all the points in the same direction, and the same amount in ![]() ![]() Transformation to this, and the first one I'm going This right over here, the point X equals 0, y equals negative four, this is a point on the quadrilateral. You could argue there's an infinite, or there are an infinite number of points along this quadrilateral. Of the quadrilateral, but all the points along the sides too. Not just the four points that represent the vertices For example, this right over here, this is a quadrilateral we've plotted it on the coordinate plane. It's talking about taking a set of coordinates or a set of points, and then changing themĭifferent set of points. You're taking something mathematical and you're changing it into something else mathematical, In a mathematical context? Well, it could mean that Something is changing, it's transforming from Transformation in mathematics, and you're probably used to This is "2" turns,so it moves 2 quadrants which means x and y will have opposite signs after the move.Introduce you to in this video is the notion of a Rotation of 180 degrees counterclockwise across the origin, point 0 This is "1" turn, so it moves 1 quadrant, which means your values "flip" Rotation of 90 counterclockwise about the origin, point 0 This is an up and down movemet so so the sign of your y is changing but the x value stays the same. This is a left to right movement so the sign of your x value is changing but the y value stays the same. Translation of a units to the right and b units up: Must show sign for the movement of x and y in the order pair.Must tell you the direction to rotate (clockwise or counterclockwise).Must tell you the number of degrees to rotate.Must tell you the location where the rotation is happening (at the origin, about a different point).Must show sign for movement of x and y in the ordered pair.Must indicate WHERE something is being reflected (X axis, y axis, across a line).Movement left and down are negative movements.Movement right and up are positive movements.Remember that x always follows the x axis so represents left to right movement (horizontal) and y always follows the y axis so represents up and down movement (vertical).+ and - tell you that x and y will switch signs when their transformation occurs. Positive and negative values of x and y in an ordered pair do NOT mean that they have positive or negative value.The ordered pair tells you the actual rule or movement. ![]() Your transformation letter tells you what transformation is happening.You must literally "note" the changes that are occurring AND represent that with an ordered pair in the form (x, y).When rotated in increments of 90°, each 90 degrees represent 1 turn, or a movement 1 quadrant forward or backwards. Rotation is a turn forward or backwards about a certain point. Reflection is a mirror image over a line of reflection. Translation is a slide left or right, up or down. These are RIGID transformations, which means the size and shape will NOT change, just the location of the point, line, or figure. Since your direction is to use a different letter for each, I will suggest using M for reflection since they make mirror images (normally it is a lower case r). There are actually standard letters used as symbols for transformations in math. ![]()
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