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A dilation is a transformation in which a fi gure is made larger or smaller with respect to a point called the center of dilation. EXAMPLE 1 Identifying a Dilation Tell whether the blue fi gure is a dilation of the red fi gure. b. The fi gures have the same size and shape. The red fi gure slides to form the blue fi gure. So, the blue fi ...
Dilation changes the size of the shape without changing the shape. DILATION When you go to the eye doctor, they dilate you eyes. Let’s try it by turning off the lights. When you enlarge a photograph or use a copy machine to reduce a map, you are making dilations.
dilation maps a line that does not pass through the center of dilation to a parallel line. In the fi gure above, ⃖PR ⃗ ⃖P ′R⃗′ , ⃖PQ ⃗ ⃖P ′Q⃗′ , and ⃖QR ⃗ ⃖Q ′R⃗′. When the scale factor k > 1, a dilation is an enlargement. When 0 < k < 1, a dilation is a reduction. Vocabulary
Geometry Worksheet Dilations. 1. Use the ruler to draw the image of the figure under a dilation with center M and the scale factor k indicated.
Dilations A transformationin which each point of a figure stretches or shrinks with respect to a fixed point, called the center of dilation. Ina translation, the pre-image & image are similar. The corresponding angles have the same measurement. The corresponding sides are proportional. Look at the graph below. Recordthe coordinate pairs
The different sizes of soft drink cups at a movie theater are created by using dilations. If the large is 8 inches tall and the medium is 6 inches tall, answer the following.
Answers. a–c) P B* B′. BCA*OA′ Ad) The triangles ABC and A*B*C. are congruent. The sides of the shapes are in the same ratio as the scale factor, so A′B′ = 3/2 × AB, and A*B* = 2/3 × A′B′, so A*B* = 3/2 ×. 2/3 × AB = AB. Since dilations produce similar triangles, the same ratio applies to all. ides of.
