Question 5 (30 points) This question requires you to consider rotational symmetry, so let's begin by explaining what that means. For any shape, if I...

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Note. I only study the structure of DNA

Question 5 (30 points) This question requires you to consider rotational symmetry, so let’s begin by explaining what that means. Forany shape, if I rotate it 360 degrees (a full revolution) around any axis, I will get back the original orientation.However, for some shapes, you are often able to choose an axis about which rotation fewerthan 360 degreeswill give you back the original orientation. For example, in the cube shown below, I only have to rotate 90degrees (a quarter revolution) around the red axis to get back to the original orientation. In fact, in the case of acube, you will find that 90 degrees is the minimum number of degrees you have to rotate to get back to theoriginal orientation. (In other words, you won’t be able to find an axis that allows you to rotate around it lessthan 90 degrees and get back the original orientation.) Now forthe question. Below are descriptions of four DNA molecules. What is the minimum number of degrees you have to rotate each molecule before you get back the original orientation? (Assume the 5‘-end of all theDNA strands contain a single phosphate and the 3'-end of all the DNA strands contain a naked OH group) a) A single—stranded piece of DNA with sequence ATI'A. (5 points)360 b) A double-stranded piece of DNA with sequence ATTA. (Reminder: a double stranded piece of DNA with aparticular sequence means you have the complementary sequence in the other strand of the double helix.) (5points) 360c) A single stranded piece of DNA with sequence GATC. (5 points) 360 d) A double stranded piece of DNA with sequence GATC. (Reminder: a double stranded piece of DNA with aparticular sequence means you have the complementary sequence in the other strand of the double helix.) (5 points) 180