Which transformations could have occurred to map abc ?

A dilation and a rotation could have occurred to map . Option (d) is correct.

Further Explanation:

Given:

The options are as follows,

(A). A rotation and a reflection

(B). A translation and a dilation

(C). A reflection and a dilation

(D). A dilation and a rotation

Explanation:

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

The reflection symmetry is defined as a line that divides the Figure into two equal parts.

Translation can be defined as to move the function to a certain displacement. If the points of a line or any objects are moved in the same direction it is a translation.

A dilation and a rotation could have occurred to map . Option (d) is correct.

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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometry

Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions,  

Option 4:  a Dilation and a Rotation.

Step-by-step explanation:

Given:  ΔABC and ΔA"B"C.

ΔABC is transformed into ΔA"B"C with C as common vertex

Clearly from figure ∠A and ∠A" are reflected and switched the positions up to down. Since, positions are changed so it would be done by  Rotation.

Also from Figure the image ΔA"B"C is  smaller than ΔABC, which shows dilation of the ΔABC.

Therefore, correct option is 4 i.e.,  a Dilation and a Rotation.