Hello!
For this problem we are given that quadrilateral ABCD is congruent to quadrilateral GJIH, meaning that all sides and angle measures will be equivalent to its corresponding side.
This means that to find
, we can look at quadrilateral GJIH's corresponding side to quadrilateral ABCD's side AD, which is side GH, which has a value of 9.
This means that 9 should also be the side length of side AD, which we're given a value of
.

Solve.

Hope this helps!
Answer:
∠LOA≅∠LMA
Step-by-step explanation:
The first two options are incorrect because you need one more set of congruent ANGLES, not SIDES. The last option would prove congruency, but through ASA, not AAS. So it would be the third option.
V=a*b*c, a=(2+1/2), b=(2+1/2), c=(6+1/2)
V=(2+1/2)*(2+1/2)*(6+1/2) = 15/2 = 7+1/2
(seven whole and one second)
If there are only two colors (let's say blue and red), here's what can happen:
sock #1 is blue
#2 is either blue or red. If blue, it matches #1 and you have a pair.
if red, go to #3
#3-either blue or red. If blue, matches #1. If red, matches #2.
OR sock #1 is red... then just reverse the colors. Basically, if you have three things that can only be in two groups, then even if two of them are different, the last one has to match one of them.
The answer of the rotational symmetry is B, (6)