How do you dilate a point on the coordinate plane?
How do you dilate a point on the coordinate plane?
To dilate something in the coordinate plane, multiply each coordinate by the scale factor. This is called mapping. For any dilation the mapping will be (x,y)→(kx,ky). In this text, the center of dilation will always be the origin.
How do you dilate a picture?
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.
How do you dilate a picture on a graph?
In order to graph a dilation, use the center of dilation and the scale factor. Find the distance between a point on the preimage and the center of dilation. Multiply this length by the scale factor.
Which point is graphed on the coordinate plane?
the origin
The horizontal axis in the coordinate plane is called the x-axis. The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin….
| x-coordinate | y-coordinate |
|---|---|
| 4 | 8 |
What is the trend in the graph?
A trend line (also called the line of best fit) is a line we add to a graph to show the general direction in which points seem to be going. Think of a “trend” as a pattern in math. The trend line is something we add to our graph to make the pattern even clearer.
What is the formula for dilation?
The scale factor can either increase the size of an object or decrease the size of an object. The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.
How many points are there in a coordinate plane?
Have students practice plotting points on a coordinate plane. When they connect the points in order, a picture of a much-beloved fictional character or historical figure appears. The pictures range from including 56-87 points in 4-7 shapes. They are each available individually here on TPT as well:
What do the plot points on this coordinate grid picture reveal?
This coordinate grid mystery picture is a school house with the word school written along the top. The plot points on this mystery graph picture reveal a squirrel. Make a picture of George Washington by following the directions and connecting the points with lines.
How many points should a dot to dot diagram have?
4. Make up your own “dot-to-dot” picture. Use at least 20 points. Your picture should have at least two points in each quadrant. Use what you learned about the coordinate plane to complete Exercises 15 –18 on page A46. y −11−10−9 −8 −7 −6 −5 −4 −3 −2 −1 12345 6 7 8 9 10 11x
