When 2 geometric figures(angles, rectangles) have the same size and shape they are called

Congruent figures.

Step-by-step explanation:

When the measure of angles and sides of two geometric figures is exactly the same, these figures are known as congruent figures.

Do not confuse the term congruent with similar. Similar figures are those which have the same measure of angles, but the side lengths are not same. However, the ratio of corresponding side lengths of two similar figures is the same. But in congruent figures measure of angles and measure of corresponding sides is always the same.

b

step-by-step explanation:

ez

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.