Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines? A.
Line JK and line LM will be parallel.

B.
Line JK and line LM will be perpendicular.

C.
The slope of line JK will be the same as the slope of line EF.

D.
The slope of line LM will be the negative reciprocal of the slope of line GH.

6(2x + 5y)6 (2x) = 12x6 (5y) = 30y12x + 30y

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12