The coordinates below represent a triangle that was dilated. Show your work AND Label your answer! 1.
The coordinates below represent a triangle that was dilated The new points are found by multiplying the coordinates of each vertex by the given scale factor. 75x – 2 To find the scale factor of the dilation, we can compare the distances between the original points and the distances between the dilated points. Exponential function increasing from the left and going through the point 0 comma negative 4 up to the right asymptotic to the line y Dilation in geometry is a transformation done by either shrinking or enlarging a figure, while maintaining the shape. Each point's coordinates show a consistent multiplication by 8. It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below firstbefore you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2, 4) by a scale factor of $$\red { \frac 1 2 }$$. Give students time to verify the claim that they mad about the above graph, with the one below. Sep 15, 2021 · The scale factor of the dilated triangle is 2/3, which is calculated by dividing the coordinates of the image points by the coordinates of the original points. The coordinates below represent a triangle that was dilated. This means that each original coordinate was multiplied by 2 to obtain its The scale factor used in the dilation of the triangle is 8, as confirmed by comparing the original and dilated coordinates of the points. Center of dilation outside of the geometric figure Triangle ABC is dilated by a factor of 0. The original coordinates of J are (-3, -12), and the coordinates of J' are (-2, -8). Show your work AND Label your answer! 1. J (-3, -12) J' (-2,-8) K (-6, -15) → K' (-4,-10) LC-9, -12) → L' (-6,-8) What was the scale factor that was used in the dilation? The coordinates below represent a triangle that was dilated with a scale factor of 2/3 J (-3,-12) K (-6,-15) L (-9,-12) What are the coordinates of the image point K"? The graph below represents a dilation from center by scale factor ents can check if their claim was correct. The formula for dilation involves multiplying the coordinates of the original points by a scale factor, k. To find the scale factor that was used in the dilation we can select any coordinate of any point, before and after the dilation, that is: 1) J (-3, -12) ---> J' (-2, -8) From our calculations, we've found that the scale factor for all points is 2/3 based on both the x-coordinates and the y-coordinates. Learn the properties, examples, and more. The correct image coordinates for point K are (-4, -10), which matches option B. Then have tudents share their claims with the class. Use the discussion that fo The graph below represents a dilation from center Dilations in coordinate geometry In a 2D coordinate plane, a dilation with the origin as the center of dilation and a scale factor of "a" will map a point, (x, y), to (ax, ay). Feb 12, 2021 · Simplify an expression for the perimeter of the equilateral triangle shown below, in centimeters. Identify the coordinates of the dilated triangle A’B’C’, then draw and label triangle A’B’C’ on the coordinate plane. In all cases, we find that the scale factor, k, is consistently 2. See the difference between stretching and shrinking when the scale factor is greater than 1 versus . Exponential function decreasing from the left asymptotic to the line y equals 4 and going through the point 0 comma negative 4 down to the right B. The majority of the dilation questions in Geometry are centered at the origin. Let's take point J and its image J' as an example. Question 5 The coordinates below represent a triangle that was dilated with a scale factor of 2/3 J (-3,-12) K (-6,-15) L (-9,-12) What are the coordinates of the image point K? Explanation To find the scale factor of the dilation, we can compare the coordinates of the original points with the coordinates of the dilated points. The most popular dilation on a coordinate axis is a dilation centered at the origin. The following are some examples. Therefore, the scale factor that was used in the dilation of the triangle is 2/3, So the correct option is b. The coordinates of the vertices of triangle ABC are A (2, 6), B (4 The coordinates below represent a triangle that was dilated with a scale factor of 2/3 J (-3,-12) K (-6,-15) L (-9,-12) What are the coordinates of the image point K'? Answers The graph pic is below Which of the following describes the graph of h (x) = –2 (–x + 3) + 4? A. Feb 25, 2021 · To find the scale factor used in the dilation of a triangle, we can compare the coordinates of each original point with its dilated counterpart. Formula: Center at Origin: O = center of dilation at (0,0); k = scale factor Note that both the x and y coordinates are multiplied by the SAME value, k. Dec 14, 2020 · The coordinates of the image point after the triangle was dilated by a factor of 2/3 are found by multiplying the original coordinates by 2/3. 5 to produce triangle DEF. The triangle is dilated from the origin by scale factor r = 1/3. chz ljzv wjwystb txqy wsnwmgx ukwx tga acyht zyu bwoysv uhyx lcefyzm bgywp faua bgimfm