1. The vertices of a triangle are P(2,-4), Q(-5,3), and R(-1,-2). What are the vertices of the image reflected across the y-axis?

Question

An abstract representation of a geometric problem. On a Cartesian plane, display three points representing the vertices of a triangle: point P located at the coordinates (2,-4), point Q at (-5,3), and point R at (-1,-2). Highlight these vertices distinctly. Then, illustrate the reflection of this triangle across the y-axis, showing the resulting points. Make sure to depict the symmetry of the image reflected over the y-axis without labeling the reflected points. The image should have no text to ensure the viewer is encouraged to solve the corresponding question.

1. The vertices of a triangle are P(2,-4), Q(-5,3), and R(-1,-2). What are the vertices of the image reflected across the y-axis?

A) P(2,-4), Q(-5,3), R(-1,-2)
B) P(2,4), Q(-5,-3), R(-1,2)
C) P(-2,-4), Q(5,3), R(1,-2)
D) P(-2,4), Q(5,-3), R(1,2)

Could someone please help me with this? I'm completely lost.

Answer 1

P'(-2,-4) Q'(5,3) R'(1,-2)

Answer 2

Would the answer be C?

Answer 3

a reflection in the y-axis leaves the y's along but changes the x's to their opposites

so P(2,-4) ---> P' (-2 , -4)

repeat for the other points, then choose your answer

Answer 4

Also, thank you so much!

Answer 5

Sure! I'd be happy to help you with this question.

To find the image of the triangle when reflected across the y-axis, we need to change the sign of the x-coordinate of each vertex.

Let's go through the given options one by one:

A) P(2,-4), Q(-5,3), R(-1,-2) - This option does not reflect the vertices across the y-axis.

B) P(2,4), Q(-5,-3), R(-1,2) - This option reflects the vertices across the y-axis correctly.

C) P(-2,-4), Q(5,3), R(1,-2) - This option does not reflect the vertices across the y-axis.

D) P(-2,4), Q(5,-3), R(1,2) - This option does not reflect the vertices across the y-axis.

So, the correct answer is B) P(2,4), Q(-5,-3), R(-1,2).

Remember, reflection across the y-axis means changing the sign of the x-coordinate while keeping the sign of the y-coordinate the same.

I hope that helps! Let me know if you have any other questions.

Answer 6

To find the vertices of the image reflected across the y-axis, you need to reverse the sign of the x-coordinate of each vertex while keeping the y-coordinate the same.

Given the original vertices of the triangle are P(2,-4), Q(-5,3), and R(-1,-2), to reflect them across the y-axis, we reverse the signs of the x-coordinates as follows:

P(2,-4) -> P(-2,-4)
Q(-5,3) -> Q(5,3)
R(-1,-2) -> R(1,-2)

So, the vertices of the image reflected across the y-axis are P(-2,-4), Q(5,3), and R(1,-2).

Therefore, the correct answer is option C) P(-2,-4), Q(5,3), R(1,-2).