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Question
assess parallelograms adcb and ehgf to decide if they are congruent (1 point) no. adcb is not congruent to ehgf because parallelogram adcb was dilated yes adcb≅ehgf since parallelogram adcb was translated yes. adcb≅ehgf because parallelogram adcb was reflected yes. adcb≅ehgf because parallelogram adcb was rotated
Step1: Recall congruence criteria
Two figures are congruent if they have the same shape and size. Transformations like translation, reflection, and rotation preserve congruence, while dilation changes the size.
Step2: Analyze the parallelograms
By observing the graph, parallelogram ADCB and EHGF have the same shape and size. The orientation has changed in a way that looks like a translation (a slide). There is no change in size (no dilation), and no flipping (reflection) or turning (rotation) in a non - translational sense.
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Yes, ADCB ≅ EHGF since parallelogram ADCB was translated.