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Katena32 [7]
3 years ago
7

Identify the transformation that maps the regular hexagon with a center (-7, 3.5) onto itself

Mathematics
2 answers:
Doss [256]3 years ago
8 0
The answer is D , because you rotate 120 degrees  clockwise 
mote1985 [20]3 years ago
4 0

Answer:

Option D - rotate 120° clockwise about (-7, 3.5) and reflect across the line x=-7              

Step-by-step explanation:

To identify : The transformation that maps the regular hexagon with a center (-7, 3.5) onto itself

Solution :

A regular hexagon which has 6 axes of symmetry.

So, the angle of rotational symmetry is given by 360 divides by number of sides.

\frac{360}{60}=60^\circ is the angle of rotational symmetry.

Since 90° is not a multiple of 60°, we will eliminate choices A and B.

120° is a multiple of 60°

So, it rotate clockwise 120°

Reflection across the line :

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places.

Which implies that the reflection across the line is x=-7

Therefore, Option D is correct that the transformation of a regular hexagon is

rotate 120° clockwise about (-7, 3.5) and reflect across the line x=-7

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