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How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' explain your answer?
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' can be determined by comparing the lengths of corresponding sides of the triangles. If, for example, the length of side PQ is 4 units and the length of side P'Q' is 8 units, the scale factor would be 8/4 = 2. This means that triangle P'Q' is twice the size of triangle PQR, indicating a dilation with a scale factor of 2.
What is the transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
How do you enlarge a figure on a coordinate graph?
To enlarge a figure on a coordinate graph, you can apply a dilation transformation using a scale factor. Choose a center point for the dilation, often the origin or the center of the figure, and multiply the coordinates of each vertex by the scale factor. For example, if you use a scale factor of 2, each coordinate (x, y) becomes (2x, 2y), effectively doubling the size of the figure while maintaining its shape and proportions.
A B C Has coordinates of A(6 7) B(4 2) and C(0 7). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.?
To find the image of points A, B, and C after a dilation centered at the origin with a scale factor of 2, you multiply each coordinate by 2. The new coordinates are A'(12, 14), B'(8, 4), and C'(0, 14). Thus, the images of the points after dilation are A'(12, 14), B'(8, 4), and C'(0, 14).
What is the dilation of 22 if the scale factor is 2.5?
The dilation of 22 with scale factor 2.5 is 55.The formula for finding a dilation with a scale factor is x' = kx (k = scale factor), so x' = 2.5(22) = 55.
How does a dilation of a figure with a scale factor 0.5 compare to a dilation of the figure worth a scale factor 2?
A dilation with a scale factor of 0.5 reduces the size of the figure to half its original dimensions, resulting in a smaller figure. In contrast, a dilation with a scale factor of 2 enlarges the figure to twice its original dimensions, creating a larger figure. Therefore, the two dilations produce figures that are similar in shape but differ significantly in size, with the scale factor of 2 yielding a figure that is four times the area of the figure dilated by 0.5.
What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' explain your answer?
The scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' can be determined by comparing the lengths of corresponding sides of the triangles. If, for example, the length of side PQ is 4 units and the length of side P'Q' is 8 units, the scale factor would be 8/4 = 2. This means that triangle P'Q' is twice the size of triangle PQR, indicating a dilation with a scale factor of 2.
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
0.5
What is the transformation of B(4 8) when dilated by a scale factor of 2 using the origin as the center of dilation?
To find the transformation of point B(4, 8) when dilated by a scale factor of 2 using the origin as the center of dilation, you multiply each coordinate by the scale factor. Thus, the new coordinates will be B'(4 * 2, 8 * 2), which simplifies to B'(8, 16). Therefore, point B(4, 8) transforms to B'(8, 16) after the dilation.
What is the scale factor of 36 and 18?
The scale factor between the 2 values is 36/18 = 6/3 = 2(but the dilation from 36 to 18, specifically, is 1/2, since 18/36 = 1/2).
How do you enlarge a figure on a coordinate graph?
To enlarge a figure on a coordinate graph, you can apply a dilation transformation using a scale factor. Choose a center point for the dilation, often the origin or the center of the figure, and multiply the coordinates of each vertex by the scale factor. For example, if you use a scale factor of 2, each coordinate (x, y) becomes (2x, 2y), effectively doubling the size of the figure while maintaining its shape and proportions.
A B C Has coordinates of A(6 7) B(4 2) and C(0 7). Find the coordinates of its image after a dilation centered at the origin with a scale factor of 2.?
To find the image of points A, B, and C after a dilation centered at the origin with a scale factor of 2, you multiply each coordinate by 2. The new coordinates are A'(12, 14), B'(8, 4), and C'(0, 14). Thus, the images of the points after dilation are A'(12, 14), B'(8, 4), and C'(0, 14).
What does the word dilation in geometry mean?
Getting bigger. Dilation factor of 2, then it would get twice the size.
Triangle PA'B' is a dilation of triangle PAB using a scale factor of k = 3. Complete the following statement with a number.The length AA' is _____ times the length PA?
2
What is the transformation of C(9 3) when dilated with a scale factor of ⅓ using the point (3 6) as the center of dilation?
To find the transformation of the point C(9, 3) when dilated with a scale factor of ⅓ from the center of dilation (3, 6), you first subtract the center coordinates from C's coordinates: (9 - 3, 3 - 6) = (6, -3). Then multiply by the scale factor of ⅓: (6 * ⅓, -3 * ⅓) = (2, -1). Finally, add the center coordinates back: (2 + 3, -1 + 6) = (5, 5). Thus, the transformed point is (5, 5).
What is example of dilation?
An example of dilation can be seen in the enlargement of a shape on a coordinate plane. For instance, if a triangle with vertices at (1, 2), (2, 3), and (3, 1) is dilated by a scale factor of 2 from the origin, the new vertices will be at (2, 4), (4, 6), and (6, 2). This transformation increases the size of the triangle while maintaining its proportions and shape.
