ABCDEFGH is a regular octagon. The minimum degree of rotation by which this octagon can map onto itself is (30 ; 45 ; 90 ; 120 °
). It will take ( 2 ; 4 ; 6 ; 8 ) increments of that degree of clockwise rotation for A′ (the image of A) to coincide with C.
2 answers:
Answer:
45°
2 - Clockwise
Step-by-step explanation:
ABCDEFGH is a regular octagon.
The minimum degree of rotation by which this octagon can map onto itself.
For rotation we have to find the central angle of each side.
Complete angle = 360°
A regular octagon has 8 equal sides. All sides make same angle at center.
8Ф = 360°
Ф = 45°
If we rotate regular octagon by 45° then it map onto itself.
Hence, 45° correct answer.
After 2 times clockwise rotation by 45° each time. We will get the image of A coincide with C as shown in attach figure.
C is second vertex of A.
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Hope this helps..
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