Question

Triangle ABC is graphed on a coordinate grid so that A is (5,5), B is (0,3) and Cis (-3,11). The triangle is reflected across the y axis to create triangle XBY where angle A corresponds to angle X. What is the length of XY?

A. 8
B. 6
C. 10
D. 16

Answer 1

Using the distance formula, we find that the length of XY is approximately 5.39 units.

Step-by-step explanation:

To find the length of XY, we need to determine the distance between the reflected points X and Y.

Since triangle ABC is reflected across the y-axis, the x-coordinate of point X will be the negative of the x-coordinate of point A.

Therefore, X will have coordinates (-5, 5).

Similarly, the x-coordinate of point Y will be the negative of the x-coordinate of point B, so Y will have coordinates (0, 3).

We can now calculate the length of XY using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((-5 - 0)^2 + (5 - 3)^2) = sqrt(25 + 4) = sqrt(29)

The length of XY is approximately 5.39 units, which is not one of the given answer choices.