Looking for help with some geometry questions today! Please only answer if you know the answer and can support it by showing you work. If you have a comment or do not know the answer, tell me that in the comment section, do not answer the question. Don't take my points and I want take yours!

Anyways, please show all of you work and explain your thinking! Answer all 5 parts of this question! Good luck!

A) Central angle has same value as intercepted arc

B) Inscribed angle is half of the intercepted arc:

C) Sum of angles of triangle is 180° and inscribed angle is half of the intercepted arc:

D) Inscribed angle is half of the intercepted arc:

E) Tangent chord angle is half of the intercepted arc:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

(-5,-28)

i graphed to on desmos.