Question

select the correct answer from each drop - down menu. choose the terms that complete the definitions for transformations. a ↓ is when an object moves in a circular arc around a point. in a ↓, each point in the preimage and its corresponding point in the image are at equal distances from a given line. also, the line segment joining two such points is perpendicular to the given line. in ↓, the shape and size of the image will remain the same as the preimage. reset next

Explanation:

Step1: Identify the first transformation

The first blank describes a transformation where an object moves in a circular arc around a point. This is the definition of a rotation.

Step2: Identify the second transformation

The second blank describes a transformation where each point in the preimage and its corresponding point in the image are at equal distances from a given line, and the line segment joining them is perpendicular to that line. This is the definition of a reflection.

Step3: Identify the third transformation (implicit)

The last part mentions that the shape and size remain the same, which is true for both rotation and reflection (they are rigid transformations). But the context here, after defining rotation and reflection, the third blank (though the sentence structure is a bit unclear) - but the key is that both rotation and reflection preserve shape and size, but the first two blanks are rotation and reflection.

Answer:

First drop - down: Rotation
Second drop - down: Reflection
(Note: The third part about "the shape and size..." is a property of rigid transformations, which both rotation and reflection are, but the blanks to fill are the first two: Rotation and Reflection)