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Xelga [282]
2 years ago
13

Octagon PQRSTVWZ is a regular octagon with its center at point C.

Mathematics
1 answer:
REY [17]2 years ago
8 0

Answer:

Option F is correct, i.e. "rotating 90° counterclockwise around point C."

Step-by-step explanation:

Given is the regular octagon PQRSTVWZ with its center at point C.

To map octagon PQRSTVWZ onto itself, we must provide such a transformation that should not change the size or coordinates of the vertices.

We can not use Translations, Reflections, and Dilations because they will change size and coordinates.

We can use only Rotations and that should be about the center C of the regular shape.

About center point C, and rotations of 90° does not change the orientation of the regular octagon, Both images would overlap each other.

Hence, option F is correct, i.e. "rotating 90° counterclockwise around point C."

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Work Shown:

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sin(F) = 56/65

Refer to the diagram below.

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