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figure ghijkl is the image of figure abcdef. identify the corresponding…

Question

figure ghijkl is the image of figure abcdef.
identify the corresponding sides from each figure.
choose one option from each drop - down menu to complete the statements.
side af corresponds to side choose...
side choose... corresponds to side bc.
side ef corresponds to side choose...
side choose... corresponds to side cd.

Explanation:

Step1: Observe the figures

When one figure is the image of another, corresponding sides are determined by the transformation mapping. In a rigid - transformation (like translation, rotation, reflection), the order and relative positions of the sides are maintained.

Step2: Match the vertices

We match the vertices of the two figures ABCDEF and GHIJKL. For example, if vertex A corresponds to vertex G, vertex F corresponds to vertex L, then side AF corresponds to side GL. Similarly, by matching other vertices, we can find the other corresponding sides.

Answer:

  1. Side AF corresponds to side GL.
  2. Side IJ corresponds to side BC.
  3. Side EF corresponds to side KI.
  4. Side HJ corresponds to side CD.