Question

do questions 1-5 on scantron. for questions 6-10, write answers on quiz. quiz - unit 1 section b name(first and last) josh noriega period 6 question 1 here is a diagram with several segments and points. which segment is the image of ad when rotated 180° counterclockwise around point p? a. ab b. fg c. de d. bc e. none of the above question 2 there is a regular hexagon, abcdef, inscribed in a circle with center o. what is the smallest angle you can rotate the hexagon abcdef around o so that the image of a is b? a. 120 degrees b. 180 degrees c. 90 degrees d. 60 degrees e. none of the above

Explanation:

Step1: Recall rotation properties

A 180 - degree counter - clockwise rotation around a point P changes the orientation of a segment. For a segment AD, when rotated 180 degrees counter - clockwise around point P, we can use the property that the new segment will be in the opposite orientation with respect to point P. By observing the grid and the position of points, segment AD when rotated 180 degrees counter - clockwise around P will coincide with segment BC.

Step2: Analyze regular hexagon rotation

A regular hexagon has 6 equal - length sides and the central angles between consecutive vertices are equal. The measure of the central angle of a regular hexagon is given by $\frac{360^{\circ}}{n}$, where $n = 6$ (the number of sides). So, $\frac{360^{\circ}}{6}=60^{\circ}$. To move from vertex A to vertex B in a regular hexagon ABCDEF inscribed in a circle with center O, we need to rotate the hexagon by the central angle between A and B, which is 60 degrees.

Answer:

Question 1: D. BC
Question 2: D. 60 degrees