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Select all answers that are similar to polygon K

Select all answers that are similar to polygon K-example-1
User Vitor Hugo
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1 Answer

3 votes

Answer:

B, C, D

Explanation:

You want to identify the shapes that are similar to polygon K.

Right triangle

Polygon K is a right triangle that has leg lengths in the ratio 4:2 = 2:1.

Polygons B, C, and D are right triangles similar to polygon K:

  • B is a dilation by a factor of 1/2
  • C is a reflection of B
  • D is a rotation of K

Others

Polygons A and E are also right triangles, but have different ratios of leg lengths. In A they are 1/1, and in E they are 4/3. These triangles are not similar to triangle K.

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Additional comment

Polygons similar to the same polygon are similar to each other. Rigid transformations such as reflection and rotation result in figures congruent to the original. Congruent figures are also similar.

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User Joao Coelho
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