After a reflection over the x-axis I have to find the coordinates of A1, B1, C1
I am having trouble with b1.
A(1,4) B(3,-2) C(4,2)
The reflection should be:
A1 should be (1,-4)
B1 ??????
C1 should be (4,-2)
Can younhelp with the b1 coordinates and check my other coordinates too?
Imagine the x-axis as an axle, so anything above will got below, and anything below will go above,
so for B
(3,-2) --->(3 , 2)
the other two are correct
Thank you.
To find the coordinates of B1 after reflecting B(3,-2) over the x-axis, you simply change the sign of the y-coordinate of B.
Since B is reflected over the x-axis, the x-coordinate remains the same, but the y-coordinate becomes its negative counterpart.
So, the coordinates of B1 would be (3, 2) after reflection over the x-axis.
And you are correct with the coordinates of A1 and C1.
A1: (1, -4)
C1: (4, -2)
To find the coordinates of B1, you need to understand how a reflection over the x-axis affects the y-coordinate. When reflecting a point over the x-axis, the y-coordinate flips its sign while the x-coordinate remains the same.
Let's apply this rule to find B1 by reflecting B(3,-2) over the x-axis:
- The x-coordinate of B remains the same, so x-coordinate of B1 will be 3.
- The y-coordinate of B, which is -2, will change its sign to become positive, so the y-coordinate of B1 will be 2.
Therefore, B1 is (3, 2).
Now let's check your other coordinates:
- A(1,4) reflects to A1(1, -4), which is correct.
- C(4,2) reflects to C1(4, -2), which is also correct.
So, the correct coordinates are:
A1 (1, -4)
B1 (3, 2)
C1 (4, -2)