In the context of the types of children’s play, the play in which infants engage in exploratory and playful visual and motor transactions in the second quarter of the first year of life is known as

Sensorimotor play

Explanation:

Sensorimotor play is behavior attribut common to infants to gain minimum/maximum pleasure from consistent use of  their sensorimotor schemes. The development of sensorimotor play is a product of Piaget's description of sensorimotor thought in the fact that  Infants at first instance are involved/engage in exploratory and playful visual and motor transactions in the second quarter of the first year of life.

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