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Triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. Which statement correctly describes the resulting image, triangle ? A. Both the reflection and dilation preserve the side lengths and angles of triangle . B. Neither the reflection nor the dilation preserves the side lengths and angles of triangle . C. The reflection preserves the side lengths and angles of triangle . The dilation preserves angles but not side lengths. D. The dilation preserves the side lengths and angles of triangle . The reflection does not preserve side lengths and angles.

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oladayoademosu

The statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Since the triangle is reflected across the y-axis and then dilated by a factor of centered at the origin. These are transformations which include

  1. Reflections - Which are transformations which change the coordinates of an object without affecting its dimensions.
  2. Dilations - Which are transformations which change the size of the object and thus its coordinates.

The operations performed on the triangle are the following

  • A reflection across the y-axis changes the coordinates of the triangle from (x, y) to (-x, y) without changing the side lengths and angles.
  • The dilation of the triangle by a factor an then centered at the origin increases the side length of the triangle but the angles in the triangle remain the same since the ratio of the sides before and after dilation are the same.

So, the reflection would preserve the side lengths and angles, but the dilation would only preserve the angles.

So, the statement correctly describes the resulting image, triangle is C. The reflection preserves the side lengths and angles of triangle. The dilation preserves angles but not side lengths.

Learn more about transformations here:

https://brainly.com/question/17311824

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