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yKpoI14uk [10]
3 years ago
13

Which are true if figure DEFG is reflected across the x-axis? Check all that apply.

Mathematics
2 answers:
meriva3 years ago
7 0

Answer: The correct options are 1,2 and 3.

Explanation:

If a figure reflected across the x-axis then the x-coordinate remains same but the sign of y-coordinate changes.

According to the reflection rule across the x-axis,

(x,y)\rightarrow(x,-y)

From the given figure it is noticed that the coordinate of point D(0,4) and E(-2,0).

After reflection,

D(0,4)\rightarrow D'(0,-4)

E(-2,0)\rightarrow E'(-2,0)

Therefore the option 1 and 2 are correct.

From the given figure it is noticed the distance of point G from the x-axis is 2, therefore the distance from the G' to x-axis is also 2, because the distance of preimage and image are equal from the line of reflection.

Therefore, the option 3 is correct.

From the given figure it is noticed the distance of point D from the x-axis is 4, therefore the distance from the D' to x-axis is also 4.

Therefore, the option 4 is incorrect.

From the below figure it is clearly noticed that the orientation will not be preserved. Because the sides are not equal, so the reflection will change the orientation.

EleoNora [17]3 years ago
5 0

<u>1st</u>, <u>2nd</u>, and <u>3rd</u> are correct:)

Have an awesome day!

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