In Figure A, a reflection in line p maps JK¯¯¯¯¯¯¯¯ to J′K′¯¯¯¯¯¯¯¯¯¯. A reflection in line q maps J′K′¯¯¯¯¯¯¯¯¯¯ to J′′K′′¯¯¯¯¯¯¯¯¯¯¯¯¯. In Figure B, a reflection in line m maps RS¯¯¯¯¯¯¯ to R′S′¯¯¯¯¯¯¯¯¯¯. A reflection in line n maps R′S′¯¯¯¯¯¯¯¯¯¯to R′′S′′¯¯¯¯¯¯¯¯¯¯¯¯. In Figure A, line p can be represented by the equation 17x+4y=−12, and line q can be represented by the equation 8x+2y=4. In Figure B, line m can be represented by the equation 6x−3y=9, and line n can be represented by the equation 4x−2y=22. Identify which of the following statements are always true. When AC=8, KK′′=16.

RS¯¯¯¯¯¯¯≅R′′S′′¯¯¯¯¯¯¯¯¯¯¯¯

XR′¯¯¯¯¯¯¯¯¯≅R′Z¯¯¯¯¯¯¯¯¯

J′K′¯¯¯¯¯¯¯¯¯¯≅J′′K′′¯¯¯¯¯¯¯¯¯¯¯¯¯< br />
When SS′′=8, WY=4.

SW¯¯¯¯¯¯¯¯¯≅WS′¯¯¯¯¯¯¯¯¯¯

JJ′′¯¯¯¯¯¯¯¯¯is perpendicular to p and q.

BD=AC