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Square ABCD and square EFGH share a common center on a coordinate plane.EH is parallel to diagonal AC . Across how many lines of reflection can the combined figure reflect onto itself?

Square ABCD and square EFGH share a common center on a coordinate plane.EH is parallel to diagonal AC . Across how many lines of reflection can the combined fig class=

Verified Answer :

caylus

Hello,

Answer B

The reflection 's axis of EFGH are the same as those of ABCD which are 4.


JeanaShupp

Answer: 4

Step-by-step explanation:

Given: Square ABCD and square EFGH share a common center on a coordinate plane.EH is parallel to diagonal AC .

Since square is a regular quadrilateral, which means that it has four equal sides and angles.  there are two diagonal of the square which divides it into two equal halves.

Also, there are 4 lines of reflection of every square which reflect onto itself.

Therefore, in square ABCD , AC and BD are the diagonals of the square which divide it into equal halves by passing through the center.

Since, EH is parallel to diagonal AC,l then the diagonal will bisect the sides of the square EFGH.

Similarly if we draw the diagonals of square EFGH it will extend and bisect the sides of the Square ABCD.

Hence, there are 4  lines of reflection can the combined figure reflect onto itself.

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