How To Do A Dilation Without A Graph
Use the same interactive sketch to complete the following table. Multiply the coordinates of the original point 2 3 called the image by 4.
Transformations Dilation On Coordinate Plane Algebraic Representations Dilations Coordinate Plane Coordinates
Write down the equation of the image and put it into slope intercept form.
How to do a dilation without a graph. What happens if you move point A B or C in the pre-image. Please move the center of dilation anywhere on the coordinate plane that is NOT the origin or a point on the line then change the scale factor to a integer value of your choice. Dilation in a Coordinate Plane is a lesson you can use any time.
Translations move a graph but do not change its shape Dilations change the shape of a graph often causing movement in the process. Reset the sketch and make sure that the Show distances check box is selected. This middle school math video demonstrates how to perform dilations on a graph using two different scale factors.
What is the impact when you change the Dilation Factor. It also explains how to use the scale fact. The pre-image Triangle ABC is dilated about the origin 00 to create the image Triangle ABC.
In this tutorial follow along as you see how dilate a figure by a given scale factor. The red curve in the image above is a transformation of the green one. This middle school math video shows how to use a ruler to do dilations without a graph.
Choose relative sizes scale factors less than 1 as well as greater than 1. This gives us the point x 5 y 3 and the origin becomes the center of the dilation. The dilation now gives us 2 x 10 2 y 6.
Graph and determine the coordinates of the original shape as needed. Click to see additional instructions in using the interactive sketch. Perform dilations with a triangle a rectangle and a hexagon.
Using the dilation notation and the scale factor of 3 we can easily determine the coordinate points of the image by multiplying the x-value by k and the y-value by k. Dilation About the Origin. Use the formula for dilations.
Apply a dilation by a scale factor of 3 to triangle ABC with coordinate points of A -21 B 22 and C 1-2 with the center located at the origin. 000740 Given the scale factor determine if the dilation is a reduction or enlargement Examples 1-4 000948 Identify the dilation and determine its scale factor Examples 5-7 001353 Graph the dilation with the origin as the center point Examples 8-9 002002 Find the scale factor given select vertices from the. Reading comprehension - ensure that you draw the most important details from the lesson on dilations on a graph Additional Learning.
Choose resize points center of dilation of the origin 0 0 as well as other points in the coordinate plane. Two dilations are performed - one with a scale factor greater than 1. FlexBook Platform CK-12 Overview.
Dilation allows you to shrink or enlarge the size of a figure without changing its shape. Perform a Dilation of ½ on point A 2 4 which you can see in the picture below. For example you could move Point O above and to.
Move the center of dilation Point O outside of rectangle ABCD. It has been dilated or stretched horizontally by a factor of 3. Graph the vertices of the new image and label them with prime symbols.
X y -- kx ky where k is the scale factor Step ï. Images coordinates 2 4 3 4 to get the coordinates of the image 8 12. Multiply the coordinates of each vertex by the scale factor.
D k xy kx ky where k is the scale factor. Center of Dilation Outside the Figure. If D is negative then this means that the graph moves down D units If the formula is written in the form yfx and if y is replaced by y-D to get y-Dfx we can equivalently move D to the other side of the equation and write yfxD.
A dilation is a stretching or shrinking about an. Ordered pairs make up functions on a graph and very often you need to plot ordered pairs in order to see what the graph. If x y is a point on a figure to be dilated we first translate left 5 and up 3.
Steps for graphing a Dilation. If we replace y by y-D then the graph moves up D units.
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