A dilation requires a center point and a scale factor. Dilations can result in a larger figure or a smaller figure than the pre-image. All of the transformations that we have studied so far in this unit produce images that are congruent to the pre-image. A dilation is another type of transformation where the size does NOT remain the same.
the center of dilation and a scale factor k, which is the ratio of the lengths of the corresponding sides of the image and the preimage. 4. Rule for dilations centered at the origin: ( , ) ( , )x y xk yko Exercises: 1) Graph 'ABC with vertices A(1,1), B(4,1), and C (4, 1) and its image after a dilation with a scale factor of 2. 2) Graph 'KLM
The center of dilation is . The scale factor of the dilation is . Length J′K′ is JK. The measure of ∠L is the measure of ∠L′. Complete the table for D (4, L)( JKL), where J(−1, 5), K(4, 2), L(0, −2). J(˜1, 5) K(4, 2) J˚(˜4, 26) K˚(16, 14) ˜1 4 7 4 Preimage x y Image ˜4 16 28 16 0 ˛ (˜4) 0 ˛ 16 ˜2 ˛ 28 ˜2 ˛ 16 Distance from L(0, ˝2) to
The scale factor is Reflect 7. For the dilation in Your Turn 5, wha you can tell without drawing lines. Your Turn the center of dilation? Explain how Lesson 1 factor o 'the dilation. 8. Determine the center of dilation and the sc cm, OA The scale factor of the, ation is Elaborate How is the len of the image of a line segment under a
MNPQ using a scale factor of ½ and the origin as the center of dilation. 2. In #1c, you performed a dilation using a scale factor of 2 and the origin as the center of dilation. a. Complete the table for the coordinates of each point’s image. b. Based on the table, explain the rule for performing dilations with a scale factor of 2 and
May 20, 2011 · If the scale factor is greater than 1, then it is said to be enlargement. If the scale factor is between 0 and 1, then it is said to be reduction. In either case of Dilation, the new point...
5. The dilation of a line not passing through the center of the dilation will be 6. The length of a line segment after a dilation of scale factor 2 will be 7. The length of a line segment after a dilation of scale factor 1/2 will be Answer the following questions and READ CAREFULLY! 8. Given line m and point O not on line m.
A dilation is a type of transformation that changes the size of the image.The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is.Below is a picture of each type of dilation (one that gets larger and one that gest smaller). Example 1
If the scale factor is between 0 and 1, the dilation will shrink the original figure. When working with a dilation, you need to know the scale factor and where the center of dilation is. If the center of dilation is at the origin, you can multiply the coordinates of each vertex by the scale factor to find the vertices of the dilated figure. III ...