A reflection over the x-axis followed by a have fun of that image over the y-axis

Some polygons have actually rotational symmetry, some have reflectional symmetry. If friend rotate an object by 180 degrees, or reflect that in a perfect axis, friend get ago the same shape.

You are watching: Which graph shows a triangle and its reflection image over the x-axis

If you rotate a shape by 180 degrees, you acquire an upside down shape, no a reflect shape.

Do the have fun in x-axis complied with by the enjoy in the y-axis. You will find that your new image will certainly land on top of the original image.

Option d deserve to only occupational if y = -x

2. Kwame’s explanation and also solution space incorrect. He reflected the pre-image at step 3, rather than the figure from step 2.

Step-by-step explanation:

We are given that,

The actual transformations of the co-ordinates (1,2), (1,4) and (2,3) as,

Co-ordinates x-axis y-axis 180°

(1,2) (1,-2) (-1,-2) (-1,-2)

(1,4) (1,-4) (-1,-4) (-1,-4)

(2,3) (2,-3) (-2,-3) (-2,-3)

But, in action 3, we see that,

The reflect co-ordinates from step 2 space (-1,2), (-1,4) and (-2,3).

Which is no the exact same as the really co-ordinates in the second column above.

Moreover, we have that,

Reflecting the initial co-ordinates across the y-axis gives the result in action 3.

Hence, the ideal explanation for his equipment is,

2. Kwame’s explanation and also solution space incorrect. He reflect the pre-image at action 3, quite than the figure from step 2.

In snapshot 4, the triangle is reflected over x axis.

Solution-

While reflecting a point over x axis, (x, y) → (x, -y) preeminence is followed.

Only the sign of y-coordinate is changed, maintaining x-coordinate intact.

In the very first picture, despite the picture is reflected, however it is reflected end y axis.

In the second picture, the picture is an initial reflected over y axis, climate it is interpreted 1 unit down.

We rotating a allude 90° clockwise, (x, y) → (y. -x) preeminence is followed.

In the 3rd picture, the triangle is rotated 90° clockwise and then translated 1 unit come right.

But, in situation of the 4th picture, the figure is reflected over x axis. Just the y coordinates sign are changed, every the x works with are same as before.

Explanation:

The line of have fun is the perpendicular bisector of the segment joining a point with its reflected image.

___

The segment involvement a point with its have fun is as quick as possible consistent through the necessity that the reflected point be the exact same distance from the line that the initial is. That way it is perpendicular come the line of reflection. Due to the fact that the street from that line is the very same on either side, the heat of reflection bisects the involvement segment.

I am no 100% ~ above the exactly answer however I can tell you the is is not

3.Kwame’s explanation and solution are incorrect. Once reflecting over the x- and also y-axes, he negated the incorrect name: coordinates in the ordered pair.

4.Kwame’s explanation and solution space incorrect. The works with of the rotated number should it is in switched and negated, not just negated.

J"(2,-3), K"(4, -3) and also L"(5,-2)

Step-by-step explanation:

The offered triangle has actually vertices at J(2,3), K(4, 3) and also L(5,2).

The revolution rule for a reflection in the x-axis is: We substitute the point out to obtain the works with of the photo triangle J"K"L"   In various other words, we negate the y-coordinates the triangle JKL to obtain the coordinates of J"K"L"

See attachment because that graph. C is the answer since of the rule of rotation and also reflection. If friend don"t know these rules you may ask.
A is due to the fact that its over the x axis and reflects
Assuming the selections are A,B,C,D in the order from left to right (according to your attachments), then it would certainly be the 4th one. To make sure we"re top top the very same page, I"m attaching her fourth illustration below. It"s the result of acquisition a triangle and reflecting it over the horizontal x axis. Think of it favor mirroring one image. You should recognize this if ur in high college ;) however here ya goReflection

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