WebMar 10, 2024 · To determine the scale factor needed for dilation, follow these steps: Find the center of dilation. Measure the distance between this point and a point on a pre-image. Measure the distance between the centre point and a point in the image. The ratio of these distances determines the scale factor. What is a scale factor of 2? WebJan 11, 2024 · Dilation examples. Let's see the scale factor at work on a coordinate plane. Here is a trapezoid on a coordinate grid with the origin (0, 0) as the center of dilation: …
Dilation Rules Explained w/ 13 Step-by-Step Examples!
WebWhat are the scale factor and center of the dilation? Simplify your answers and write them as fractions or whole numbers. scale factor: center of the dilation: Expert Answer. Who … Web• A description of a dilation includes the scale factor (or ratio) and the center of the dilation. • The center of dilation is a fixed point in the plane. • If the scale factor is greater than 1, the image is an enlargement (a stretch). • If the scale factor is between 0 and 1, the image is a reduction (a shrink). • If the scale factor is 1, the figure and the image are congruent. saint mary\u0027s beeville tx
7.16: Dilation in the Coordinate Plane - K12 LibreTexts
WebTo perform a dilation on a coordinate plane, you need to know two pieces of information. First, you need to know the scale factor, or magnitude of the enlargement or reduction. Second, you need a center of dilation, or reference point from which the dilation is generated. In this resource, you will investigate more properties of dilations. WebNov 28, 2024 · Dilations have a center and a scale factor. The center is the point of reference for the dilation and the scale factor tells us how much the figure stretches or shrinks. A scale factor is labeled \(k\). Only positive scale factors, \(k\), will be considered in this text. If the dilated image is smaller than the original, then \(0<1\). WebNow, if the scale factor is 5, what is the center of dilation OA’, OB’, OC’. Solution: As the given coordinates are: A ( 2, 8), ( 1, − 2), ( 3, 5) Here we suppose our origin O (0, 0) as the center of the original triangle. Determining the center of dilation as follows: O A ′ = ( 2 ∗ 5, 8 ∗ 5) O A ′ = ( 10, 40) Now we have: O B ′ = ( 1 ∗ 5, − 2 ∗ 5) thimble grass