58. The triangle, △XYZ, that is shown below has side lengths of x, y, and z inches and is not a right triangle. Let X′ be the image of X when the triangle is reflected across YZ . Which of the following is an expression for the perimeter, in inches, of quadrilateral X′YXZ ?

Answer and Explanation

Your Answer is

Correct Answer is K

Explanation

According to the title, in the figure, you can make a symmetrical point X' with point X about the line YZ, and the XYZX' quadrilateral formed by the line is a parallelogram, so the length of YX' is y, The length of ZX' is z, then the perimeter of the quadrilateral should be y+y+z+z=2(y+z)