
Properties of Dilations Lesson 10 1 Answer Key Form


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People also ask lesson 10 2 properties of dilations practice and problem solving a b answer key
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What does the word dilate mean to resize or in math?
Dilations make a shape bigger or smaller. A scale factor tells us how much to multiply by the side lengths to change the size. The scale factor is the ratio of the side length in the new shape (image) to the side length in the corresponding side in the original shape (pre-image).
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How do you dilate with a scale factor of 3?
To perform the dilation, you would take each vertex of the triangle and multiply the x-coordinate and y-coordinate by 3. For example, if one vertex of the original triangle had coordinates (x, y), the coordinates of that same vertex in the dilated triangle would be (3x, 3y).
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What are the properties of dilation?
Properties of Dilation Each angle of the figure is the same. Midpoints of the sides of the figure remain the same as the midpoint of the dilated shape. Parallel and perpendicular lines in the figure remain the same as the parallel and perpendicular lines of the dilated figure. The images remain the same.
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How do you dilate by a scale factor of 2?
To dilate by a scale factor of 2, multiply the length of each side of the shape by 2. If the shape is on a coordinate plane, multiply the coordinates of each vertex of the shape by 2.
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What is dilation 7th grade math?
Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
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How do you explore dilations on a coordinate plane?
To dilate a point on a coordinate plane, you multiply its coordinates by a scale factor. The scale factor is a positive number that tells you how much to enlarge or shrink the point. If the scale factor is greater than 1, the point moves away from the origin.
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How do you explore the scale factors of dilations?
The scale factor of dilation describes the change in size of the figure. A scale factor that is x > 1 (greater than 1) is an enlargement. A scale factor that is 0 < x < 1 (greater than 0 but less than 1) is a reduction. Scale factor is often described using the variable k.
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How to find scale factors of dilations?
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.
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