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To find the center of dilation of a triangle and its dilation, you can identify a pair of corresponding vertices from the original triangle and its dilated image. Draw lines connecting each original vertex to its corresponding dilated vertex; the point where these lines intersect is the center of dilation. The scale factor can be determined by measuring the distance from the center of dilation to a vertex of the original triangle and comparing it to the distance from the center to the corresponding vertex of the dilated triangle.
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How do you graph a dilation?
To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.
What is the image of triangle FDH after a dilation with a scale factor 5 Centered at the origin?
To find the image of triangle FDH after a dilation with a scale factor of 5 centered at the origin, each vertex of the triangle must be multiplied by the scale factor. If the original vertices of triangle FDH are (F(x_1, y_1)), (D(x_2, y_2)), and (H(x_3, y_3)), the new vertices after dilation will be (F'(5x_1, 5y_1)), (D'(5x_2, 5y_2)), and (H'(5x_3, 5y_3)). This transformation enlarges the triangle while keeping its shape and orientation.
When Dilating a triangle changes the angles and side length of the triangle.?
Actually, when dilating a triangle, the angles remain unchanged while the side lengths are proportionally increased or decreased based on the scale factor of the dilation. Dilation is a transformation that enlarges or reduces a shape while maintaining its overall proportions. Therefore, the triangle's shape is preserved, but its size changes according to the dilation factor.
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.
When applied to a triangle a dilation with a positive scale factor does not preserve what?
length
Triangle ABC below will be dilated with the origin as the center of dilation and scale factor of 1/2?
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If Triangle R'S'T' has sides of 3 cm 4 cm and 5 cm. And triangle RST has sides of 12 cm 16 cm and 25 cm. what is the dilation of the triangles?
The 1st is a right angle triangle and the 2nd is a scalene triangle.
How do you graph a dilation?
To graph a dilation, first identify the center of dilation and the scale factor. For each point of the original figure, measure the distance from that point to the center of dilation, then multiply that distance by the scale factor to find the new distance from the center. Plot the new points at these distances, and connect them to form the dilated figure. Ensure that the orientation remains the same and that the shape is proportional to the original.
What is the image of triangle FDH after a dilation with a scale factor 5 Centered at the origin?
To find the image of triangle FDH after a dilation with a scale factor of 5 centered at the origin, each vertex of the triangle must be multiplied by the scale factor. If the original vertices of triangle FDH are (F(x_1, y_1)), (D(x_2, y_2)), and (H(x_3, y_3)), the new vertices after dilation will be (F'(5x_1, 5y_1)), (D'(5x_2, 5y_2)), and (H'(5x_3, 5y_3)). This transformation enlarges the triangle while keeping its shape and orientation.
When Dilating a triangle changes the angles and side length of the triangle.?
Actually, when dilating a triangle, the angles remain unchanged while the side lengths are proportionally increased or decreased based on the scale factor of the dilation. Dilation is a transformation that enlarges or reduces a shape while maintaining its overall proportions. Therefore, the triangle's shape is preserved, but its size changes according to the dilation factor.
The center of gravity of a triangle solid with uniform thickness and density is at the intersection of the of the triangle?
The center of gravity of a triangle can be found by adjusting the thickness. You also need to find the density at the intersection.
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.
When applied to a triangle a dilation with a positive scale factor does not preserve .?
length
When applied to a triangle a dilation with a positive scale factor does not preserve?
length
When applied to a triangle a dilation with a positive scale factor does not preserve what?
length
Every dilation has a?
Center and Scale Factor....
What happens when you dilate a triangle with a scale factor of 2?
When you dilate a triangle with a scale factor of 2, each vertex of the triangle moves away from the center of dilation, doubling the distance from that point. As a result, the new triangle retains the same shape and angles as the original triangle but has sides that are twice as long. This means the area of the dilated triangle becomes four times larger than the original triangle's area.
