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If a polygon is dilated by a scale factor of 3 then the original polygon and its image are congruent?
If a polygon is dilated by a scale factor of 3, the original polygon and its image are not congruent; rather, they are similar. Dilation changes the size of the polygon while maintaining the same shape, meaning corresponding angles remain equal and side lengths are proportional. In this case, the image will be three times larger than the original polygon. Therefore, while they share the same shape, they are not congruent.
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If a polygon is dilated by a scale factor of 3 then the ratio of the perimeter of the original polygon to the image polygon is 1 to 3.?
When a polygon is dilated by a scale factor of 3, all its sides are multiplied by 3. This means the perimeter of the image polygon is 3 times the perimeter of the original polygon. Therefore, the ratio of the perimeters is 1:3, as stated. This ratio holds true for any polygon being dilated by the same scale factor.
What does dilated mean in math?
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
How can you find the scale factor of a dilation?
To find the scale factor of a dilation, compare the lengths of corresponding sides of the original figure and the dilated figure. The scale factor (k) can be calculated by dividing the length of a side in the dilated figure by the length of the corresponding side in the original figure: ( k = \frac{\text{length in dilated figure}}{\text{length in original figure}} ). If the dilation is centered at a point, ensure both figures are oriented similarly for accurate measurements.
How can you find the scale factor from one polygon to the other?
Measure the lengths of corresponding sides. Then divide the length from the altered polygon by that from the original.
Polygon XYZW and nbspis dilated by a scale factor of 2 with point T as the center of dilation resulting in the image X and primeY and primeZ and primeW and prime. If point T lies on and nbspwhat can b?
If point T lies on polygon XYZW, the dilation will cause the vertices of the polygon to move away from T, effectively enlarging the polygon. Since T is a point on the original polygon, the segments connecting T to the vertices of XYZW will be extended, resulting in the new vertices X', Y', Z', and W' being positioned further away from T. The shape of the polygon will remain the same, but its size will increase by a factor of 2.
If a polygon is dilated by a scale factor of 3 then the ratio of the perimeter of the original polygon to the image polygon is 1 to 3.?
When a polygon is dilated by a scale factor of 3, all its sides are multiplied by 3. This means the perimeter of the image polygon is 3 times the perimeter of the original polygon. Therefore, the ratio of the perimeters is 1:3, as stated. This ratio holds true for any polygon being dilated by the same scale factor.
if an isosceles triangle ABC is dilated by a scale factor of 3, which of the following statements is not true?
the sides of ABC are congruent to the sides of A'B'C'
What does dilated mean in math?
it means a transformation in which a polygon is enlarged or reduced by a given factor around a given center point.so its an enlargmant or a reduction
How can you find the scale factor of a dilation?
To find the scale factor of a dilation, compare the lengths of corresponding sides of the original figure and the dilated figure. The scale factor (k) can be calculated by dividing the length of a side in the dilated figure by the length of the corresponding side in the original figure: ( k = \frac{\text{length in dilated figure}}{\text{length in original figure}} ). If the dilation is centered at a point, ensure both figures are oriented similarly for accurate measurements.
How can you find the scale factor from one polygon to the other?
Measure the lengths of corresponding sides. Then divide the length from the altered polygon by that from the original.
Polygon XYZW and nbspis dilated by a scale factor of 2 with point T as the center of dilation resulting in the image X and primeY and primeZ and primeW and prime. If point T lies on and nbspwhat can b?
If point T lies on polygon XYZW, the dilation will cause the vertices of the polygon to move away from T, effectively enlarging the polygon. Since T is a point on the original polygon, the segments connecting T to the vertices of XYZW will be extended, resulting in the new vertices X', Y', Z', and W' being positioned further away from T. The shape of the polygon will remain the same, but its size will increase by a factor of 2.
What is the rule for a dilation which makes the transformed polygon twice the size of the original polygon?
To dilate a polygon so that the transformed polygon is twice the size of the original, you need to use a scale factor of 2. This means that for each point of the original polygon, you will multiply its coordinates by 2, relative to a chosen center of dilation. The result will be a polygon that retains the same shape but has dimensions that are twice as large.
What is the scale factor of this dilation?
To determine the scale factor of a dilation, you compare the lengths of corresponding sides of the original figure and its dilated image. The scale factor is calculated by dividing the length of a side in the dilated figure by the length of the corresponding side in the original figure. If the scale factor is greater than 1, the figure has been enlarged; if it's less than 1, the figure has been reduced. Specific values would require the lengths of the sides in question.
How can you find the center of dilation of a triangle and its dilation?
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.
What are the coordinates of point a after being dilated by a factor of 3?
To find the coordinates of point A after being dilated by a factor of 3, you multiply the original coordinates (x, y) of point A by 3. For example, if point A has coordinates (2, 4), the new coordinates after dilation would be (2 * 3, 4 * 3) or (6, 12). Thus, the coordinates of point A after dilation depend on its original position.
Is dilated by a scale factor of 3 to form . Point O is the center of dilation and point O lies on . If the slope of is 3 what can be said about line?
If line ( l ) is dilated by a scale factor of 3 from point ( O ), the resulting line will also be parallel to line ( l ) and will maintain the same slope. Since the slope of line ( l ) is 3, the slope of the dilated line will also be 3. Therefore, the dilated line will not change its steepness or direction, remaining parallel to the original line.
Which sequence of transformation produces an image that is not congruent to the original figure?
A translation of 4 units to the right followed by a dilation of a factor of 2
