Which are properties of rotations? check all that apply. 1 rotations are always counterclockwise. 2 rotations preserve size. 3 rotations of 360° map a figure to itself. 4 lines connecting corresponding points on the pre-image and image are parallel. 5 lines connecting corresponding points on the pre-image and image have equal length. 6 lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

- The correct properties of rotation are as follows:-

2.Rotations preserve size.

3. Rotations of 360° map a figure to itself.

6. Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length.

Explanation:-

1. False ; Rotations are always counterclockwise.→ it is not a property of rotation, ∵rotation can be clockwise or counterclockwise both.

2.True; Rotations preserve size. [by definition of rotation]

3.True; Rotations of 360° map a figure to itself. [It completes one turn and get back to the original position ]

4.False; Lines connecting corresponding points on the pre-image and image are parallel. [They can be intersect]

5.False ; Lines connecting corresponding points on the pre-image and image have equal length.[The point which is the center of rotation in a figure is nearest to its image rather than the other points. ]

6. True ; Lines connecting the center of rotation to the pre-image and the corresponding point on the image have equal length. [∵ all the points of the figure is rotated about the center of the point ,so the distance of the center of rotation to the pre-image and the corresponding point on the image have equal length]

168

step-by-step explanation:

i am pretty sure that the answer is 168

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