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Compositions of Transformations Quick Check 1 of 51 of 5 Items Question Use the image to answer the question. Assess parallelograms ADCB and EHGF to decide if they are congruent. (1 point) Responses Yes, ADCB≅EHGF because parallelogram ADCB was rotated. Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was rotated. No, ADCB is not congruent to EHGF because parallelogram ADCB was dilated. No, upper A upper D upper C upper B is not congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was dilated. Yes, ADCB≅EHGF since parallelogram ADCB was translated. Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F since parallelogram upper A upper D upper C upper B was translated. Yes, ADCB≅EHGF because parallelogram ADCB was reflected. Yes, upper A upper D upper C upper B congruent to upper E upper H upper G upper F because parallelogram upper A upper D upper C upper B was reflected. Skip to navigation page 14 of 14 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

1 answer

To determine if the parallelograms ADCB and EHGF are congruent, we must consider the transformations applied to parallelogram ADCB. If the transformation (rotation, reflection, translation, or glide reflection) preserves size and shape, the two parallelograms will be congruent.

Based on the provided options, here's how you can analyze the congruence:

  1. Rotation: If ADCB was rotated to form EHGF, they are congruent.
  2. Translation: If ADCB was simply moved without changing orientation or size, they would still be congruent.
  3. Reflection: If ADCB was reflected to form EHGF, they remain congruent.
  4. Dilation: If ADCB was dilated, changes in size indicate they cannot be congruent.

Without the image to observe how AD, CB, EH, and GF are mapped and the type of transformation applied, it’s difficult to choose definitively. Nonetheless, if the response relates to a transformation that preserves shape and size (rotation, translation, or reflection), then the answer would affirm their congruence.

Thus, you will want to choose an option confirming congruence based on the method of transformation applied to ADCB. For example, if it states that parallelogram ADCB was translated, you should choose that one affirming their congruence. If it states there was a dilation, they cannot be considered congruent.

Please make your selection according to the transformation as described in the question.