Which property allows a design to maintain all its characteristics when it is rotated around a point in it's plane? a. line of symmetryb) point of symmetryc) reflectional symmetryd) rotational symmetry

B. Point of symmetry.

Step-by-step explanation:

Given , a design to maintain all its characteristics when it is rotated around a point in it's plane .

A. Line of symmetry: It is the imaginary line where you could fold the image then image divide into two halves and match exactly.

B. Point of symmetry: It is centre point of figure . If a figure is rotated 180 degree about that point then the figure looks identical to the original figure.In this symmetry the figure looks same as the original when we see from  up, side and  down.

C. Reflection symmetry: Reflected symmetry occur when a shape or pattern is reflected in a line of symmetry or a mirror line .Then the reflected shape will be excatly same as  original shape, the same distance from mirror line and same size .

D. Rotational symmetry:When a figure or shape is rotated or turned about the centre point then the figure remain in shape.The angles of rotation will be factor of 360.The number of positions in which the object is rotated appear unchanged is called order of symmetry.

Hence, a design to maintain all its characteristics when it is rotated around a point in it's plane.The property is called point of symmetry by which a design  is rotated.  

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is