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velikii [3]
3 years ago
8

which of the following allows a figure to remain congruent as it rotates around a point in its plane. A: Reflectional symmetry,

B: Point of symmetry, C: line of symmetry, D: Rotational symmetry
Mathematics
1 answer:
Anettt [7]3 years ago
3 0
I think the correct answer is option D. It would be rotational symmetry that allows a figure to remain congruent as it rotates around a point in its plane. It also known as a radial symmetry. A figure which has this type of symmetry would look the same after rotating the figure by any angle. The degree of this symmetry would range from 2 to any positive whole integer. It depends on the number of distinct orientations that the figure would look the same. Examples are the shapes such as rectangles, circles, squares, stars, hexagon, pentagon and all regular polygons.
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Len [333]
An angle bisector is a line or ray that divides an angle into two congruent angles
so
in this problem
m∠RST=m∠RSV+m∠VST
m∠RSV=m∠VST
hence
m∠RST=2*m∠RSV --------> equation 1
we have
m∠RST=(6x-24)
m∠RSV=(2x+8)
Substitute in the equation 1
6x-24=2*(2x+8)
6x-24=4x+16
6x-4x=16+24
2x=40
x=40/2
x=20 degrees
therefore
the value of x is 20 degrees
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