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.
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
Measure the lengths of corresponding sides. Then divide the length from the altered polygon by that from the original.
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.
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.
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.
the sides of ABC are congruent to the sides of A'B'C'
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
Measure the lengths of corresponding sides. Then divide the length from the altered polygon by that from the original.
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.
Congruent.
A translation of 4 units to the right followed by a dilation of a factor of 2
In gemortry, CPCTC is the abbreviation of a therom involving congrugent triangles. CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent. CPCTC states that if two or more triangles are proven congruent by: ASA, AAS, SSS, HL, or SAS, then all of their corresponding parts are congruent as well.Ifthen the following conditions are true:A related theorem is CPCFC, in which triangles is replaced with figures so that the theorem applies to any polygon or polyhedrogen.
A scale is the ratio of the contracted or dilated form with respect to the original form (the ratio of the sizes before and after the scaling operation). The scale factor is the magnitude of the scaling contraction or dilation (the shrinking or expanding) used in the scaling operation.
It can be.
0.5
When a circle's diameter is dilated by a scale factor of 0.6, the new diameter will be 0.6 times the original diameter. Since the circumference of a circle is directly proportional to its diameter by the formula C = πd, where C is the circumference and d is the diameter, the new circumference will also be 0.6 times the original circumference. Therefore, the effect of dilating the diameter by a scale factor of 0.6 will be a decrease in the circle's circumference by 40%.