For any rhombus JKLM, decide whether the statement ∠L≅∠M is [i]always, never,[/i] or [i]sometimes[/i] true. Explain your reasoning.

For any rhombus JKLM, decide whether the statement sides LM≅MJ is [i]always, never,[/i] or [i]sometimes[/i] true. Explain your reasoning.

For any rhombus JKLM, decide whether the statement diagonals LJ≅MK is [i]always, never,[/i] or [i]sometimes[/i] true. Explain your reasoning.

Given that ABDC is a rhombus, what are the measurements of angles 1 through 8? What are the total measures each for A, B, C, and D?

You're putting down tile in an oddly shaped room. The tile comes in 1 foot squares (1'x1') or rhombuses with each side measuring 1 foot and acute angles of 45 degrees. If the layout of the room is shown above with linear measurements in yards, how many of each type of tile are you going to need?