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AB has endpoint A(-8,6) and B(6,0). Find the endpoints of its image after the similarity transformation. Translation: (x,y) -> (x,y - 6) Dilation: (x,y) -> (1/2 x, 1/2 y)?
A(-4,0) B(3,-3)
What else can I help you with?
How does dilation relate to similarity?
Dilation is a transformation that alters the size of a figure while maintaining its shape and proportions, which directly relates to similarity in geometry. When a figure undergoes dilation, the resulting image is similar to the original figure, meaning corresponding angles remain the same and corresponding sides are in proportion. This property of dilation ensures that similar shapes can be created by scaling up or down without distorting their fundamental characteristics. Thus, dilation is a key method for establishing similarity between geometric figures.
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
When you perform a transformation of a figure on the coordinate plane What is the input of the transformation called?
The input of a transformation on the coordinate plane is called the "preimage." The preimage is the original figure before any transformation, such as translation, rotation, reflection, or dilation, is applied to it. After the transformation, the resulting figure is referred to as the "image."
How do I write a rule for transformation?
To write a rule for transformation, first identify the type of transformation you want to apply, such as translation, rotation, reflection, or dilation. Then, define the mathematical operation that corresponds to your transformation—for example, for a translation by a vector ( (a, b) ), the rule would be ( (x, y) \rightarrow (x + a, y + b) ). Finally, clearly state the initial coordinates and the resulting coordinates to complete the transformation rule.
The term for two triangles that are congruent after a dilation is called?
Similarity.
This can be a reflection rotation translation or dilation?
Transformation
Which type of transformation uses a scale factor?
A similarity transformation uses a scale factor to enlarge or reduce the size of a figure while preserving its shape. It includes transformations such as dilation and similarity.
Is this statement true or falseA dilation is a transformation that preserves similarity and congruence?
false
What are the 4 types of transformation maths?
Dilation, rotation, reflection and translation
What are some non examples of dilation?
Non-examples of dilation would include transformations such as translation, rotation, and reflection. These transformations do not involve changing the size of the figure, only its position or orientation. Another non-example would be a similarity transformation, where the shape is resized proportionally but not dilated.
How does dilation relate to similarity?
Dilation is a transformation that alters the size of a figure while maintaining its shape and proportions, which directly relates to similarity in geometry. When a figure undergoes dilation, the resulting image is similar to the original figure, meaning corresponding angles remain the same and corresponding sides are in proportion. This property of dilation ensures that similar shapes can be created by scaling up or down without distorting their fundamental characteristics. Thus, dilation is a key method for establishing similarity between geometric figures.
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
Which transformation is not an isometry?
Dilation.
When you perform a transformation of a figure on the coordinate plane What is the input of the transformation called?
The input of a transformation on the coordinate plane is called the "preimage." The preimage is the original figure before any transformation, such as translation, rotation, reflection, or dilation, is applied to it. After the transformation, the resulting figure is referred to as the "image."
Which transformation is not always an isometry?
Dilation
What type of transformation is not considered rigid?
Flexing is one such transformation.
How do I write a rule for transformation?
To write a rule for transformation, first identify the type of transformation you want to apply, such as translation, rotation, reflection, or dilation. Then, define the mathematical operation that corresponds to your transformation—for example, for a translation by a vector ( (a, b) ), the rule would be ( (x, y) \rightarrow (x + a, y + b) ). Finally, clearly state the initial coordinates and the resulting coordinates to complete the transformation rule.
