Properties of Transformations Answers
What statements about dilations are true? Check all that apply.A dilation preserves side lengths.A dilation preserves angle measures.A dilation preserves the direction that the shape faces.A dilation is a type of isometric transformation. The side lengths of a dilated image are proportional to the side lengths of the pre-image.
What is the measure of B?
What is the measure of B’?
What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’?
0.25✔ 0.523
What are the coordinates for a dilated triangle, A’B’C’, if the scale factor for the dilation is 0.75?
What is the length of CD?
Which statements are true about the enlargement of triangle ABC to triangle A’B’C’? Check all that apply.
Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A’B’C’. Point A is located at (10, 7.5), point B is located at (–5, 2), and point C is located at (0.5, –7). | What are the coordinates of A’? | What are the coordinates of B’? | What are the coordinates of C’?
Which is the rule for the dilation of quadrilateral DEFG to quadrilateral D’E’F’G’?
Triangle ABC is transformed to triangle A’’B’’C’’ by first rotating triangle ABC 90°, and then performing a dilation. Which transformation was used?
Which diagram shows a dilation?
Explain the differences between an isometric transformation and a dilation.
An isometric transformation (like translation, reflection, or rotation) preserves both distances and angles, resulting in an image that is congruent to the pre-image. In contrast, a dilation preserves angle measures but changes the size of the figure by a scale factor, making the sides proportional. Therefore, a dilation produces an image that is similar, but not necessarily congruent, to the pre-image.
What is the length of C’D’?
Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A’B’C’. Point A is located at (10, 7.5), point B is located at (–5, 2), and point C is located at (0.5, –7). | What are the coordinates of A’? | What are the coordinates of B’? | What are the coordinates of C’?
Sample Response: An isometric transformation is a transformation in which the image is congruent to the pre-image. Both corresponding sides and corresponding angles are equal. A dilation is a transformation in which the corresponding angles of the image are congruent to the pre-image, but the corresponding sides are proportional. This ratio is determined by a scale factor. Dilations create similar images. What did you include in your response? Check all that apply.Isometric transformations creat
Triangle ABC is dilated using the dilation rule D0.5(x, y) to form triangle A’B’C’. Point A is located at (10, 7.5), point B is located at (–5, 2), and point C is located at (0.5, –7). | What are the coordinates of A’? | What are the coordinates of B’? | What are the coordinates of C’?
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