What set of reflections would carry hexagon ABCDEF onto itself?Group of answer choicesx‒axis, y-axis, y-axisy-axis, x‒axis, y-axisx‒axis, y = x, x‒axis, y = xy = x, x‒axis, y = x, y-axis
Question
What set of reflections would carry hexagon ABCDEF onto itself?Group of answer choicesx‒axis, y-axis, y-axisy-axis, x‒axis, y-axisx‒axis, y = x, x‒axis, y = xy = x, x‒axis, y = x, y-axis
Solution
To determine the set of reflections that would carry hexagon ABCDEF onto itself, we need to consider the symmetry of the hexagon.
-
First, we need to identify the axes of symmetry in the hexagon. A regular hexagon has three axes of symmetry: the x-axis, the y-axis, and the line y = x.
-
Next, we need to determine the order of reflections that would carry the hexagon onto itself.
-
Reflecting the hexagon across the x-axis, then the line y = x, and finally the x-axis again would carry the hexagon onto itself.
-
Therefore, the correct answer is "x‒axis, y = x, x‒axis".
Please note that this answer assumes that the hexagon is regular and positioned in such a way that these axes of symmetry apply. If the hexagon is irregular or positioned differently, the set of reflections may be different.
Similar Questions
What set of reflections and rotations would carry rectangle ABCD onto itself?Group of answer choicesRotate 180°, reflect over the y-axis, reflect over the line y = xReflect over the x-axis, rotate 180°, reflect over the x-axisRotate 180°, reflect over the x-axis, reflect over the line y = xReflect over the y-axis, reflect over the x-axis, rotate 180°
A regular hexagon made from yellow cardboard has a thick black stripe painted across it. The hexagon is cut up into six equilateral triangles and the pieces are mixed up. This diagram shows one of the pieces in its original position. The other five pieces are shown below.Which piece was in the position marked with the XX?
If a shape is a regular hexagon with six sides, which of the following must be true?Check all that apply.A.It has exactly one line of symmetry.B.It has six lines of symmetry.C.It has reflectional symmetry.D.It has an unlimited number of lines of symmetry.
Which of the following shapes is a face of this hexagonal prism?
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′ lie?Group of answer choices(1, 1)(−4, 1)(−4, −1)(1, −1)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.