What set of reflections would carry hexagon ABCDEF onto itself? Hexagon ABCDEF on the coordinate plane with point

One latter education question and answer inquired students to declare what they consider is the most important thing for a student to do if they wanted to attain success. Of many answers, the one which that stood out was practice. Successful persons are definitely not born successful; they become successful from hard work and commitment. This is how you can complete your goals. beneath some question and answer examples that you could actually use to improve your knowledge and gain insight that will help you to sustain your school studies.

Question:

What set of reflections would carry hexagon ABCDEF onto itself? Hexagon ABCDEF on the coordinate plane with point

A at 0, 1,
point B at negative 1, 0,
point C at negative 2, 1,
point D at negative 2, 3,
point E at negative 1, 4,
and point F at 0, 3.
A. x-axis, y=x, x-axis, y=x
B. y-axis, x-axis, y-axis
C. x-axis, y-axis, y-axis
D. y=x, x-axis, y=x, y-axis

Answer:

When a point is reflected, it must be reflected across a line. The reflection of ABCDEF that carries it onto itself is:

D. y=x, x-axis, y=x, y-axis

Of the given options, (D) is correct.

The proof is as follows:

Using coordinate point A.

We have:

The first reflection in (D) is

This means that:

So, we have:

The next is across the x-axis.

The rule of this reflection is:

The next is

This means that:

The last is across the y-axis.

The rule of this reflection is:

Compare the end point to point A;

We can see that both points are the same i.e. (0,1)

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Hence, the set of reflections would carry hexagon ABCDEF onto itself is (d)

Read more about reflections at:

From the answer and question examples above, hopefully, they might assist the student solve the question they had been looking for and notice of all stated in the answer above. You will be able to then have a discussion with your classmate and continue the school learning by studying the topic to one another.

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