Question

Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. AB || FG. Across which line can be combined figure reflect onto itself

Answer 1

Answer: The answer is the yellow lines in the attached figure.

Step-by-step explanation: As shown in the attached figure, regular hexagon FGHIJK and square ABCD shares common centre on the co-ordinate plane and AB || FG.

We are to find the line across which the combined figure will reflect onto itself.

In the attached figure, we see two lines which are yellow in colour. We can easily detect that the figure will be reflected onto itself if these two lines acts as a mirror separately.

Hence these yellow lines are the required lines.

Answer 2

Answer:Any of the perpendicular bisectors of the sides of the square

Question: Regular hexagon FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself?

A. any of the perpendicular bisectors of the sides of the hexagon

B. either diagonal of the square

C. any of the perpendicular bisectors of the sides of the square

D. there are no lines across which this figure can reflect onto itself

Explanation:

I had this question asked on a test and got it right