The hexagon GIKMPR and FJN are regular. The dashed line segments form 30° angles.
Find the image of after a rotation of 300° about point O.
answer is OF
the correct answer is ON 180 degrees from H and N
To find the image of the hexagon GIKMPR after a rotation of 300° about point O, we can use the concept of rotational symmetry and the properties of regular hexagons.
Step 1: Draw a regular hexagon GIKMPR and point FJN, as described in the question. Label the vertices of the hexagon in a clockwise direction as G, I, K, M, P, and R.
Step 2: Identify the center of rotation, point O. Typically, the center of rotation is the point around which the object rotates. In this case, the question does not specify the location of point O, so we need additional information or a diagram to determine its position accurately.
Step 3: Draw lines connecting the corresponding vertices of the two hexagons. In this case, connect vertex G with vertex F, I with J, K with N, M with no corresponding vertex (as mentioned in the question), P with N, and R with F.
Step 4: Since the hexagons are regular and the dashed line segments form 30° angles, we know that each angle of the hexagons measures 120° (360° divided by 3).
Step 5: To visually understand the effect of a 300° rotation about point O, imagine dividing the hexagon into six equal sections (since there are six vertices). Each section would measure 60° (360° divided by 6).
Step 6: Based on the angles mentioned in Step 4, we can determine that a 300° rotation is equivalent to rotating the hexagon two sections clockwise (2 * 60° = 120°).
Step 7: Start at vertex G and count two sections clockwise, and that will take you to the new position of vertex G after the rotation. Similarly, identify the new positions for vertices I, K, M, P, and R by counting two sections clockwise from their original positions.
Note: Without a specific diagram or the coordinates of point O, we cannot determine the exact new positions of the vertices after the rotation. However, by following the steps above, you can determine the order and direction in which the vertices will move after a 300° rotation about point O.
the hexagon GIKMPR and triangle FJN are regular the dashed line segments form 30 degree angles
The hexagon GIKMPR and nar001-1.jpgFJN are regular. The dashed line segments form 30° angles.
nar001-2.jpg
Find the angle of rotation about O that maps mc009-1.jpg to mc009-2.jpg.