Question

Which statement is true about quadrilateral QRST?

Side QR has a length of 5 units.
Side RS has a length of units.
Side ST has a length of 6 units.
Side TQ has a length of units.

Answer 1

I can’t tell which statement is true because two side lengths are missing from your message (the lengths of RS and TQ are blank). Please either

- give the missing numeric lengths, or
- paste/upload the diagram or coordinates of Q, R, S, T.

If you want to check it yourself, here’s how to proceed:

1. If you have coordinates for Q(x1,y1), R(x2,y2), S(x3,y3), T(x4,y4), compute each side length with the distance formula:
length(QR) = sqrt((x2−x1)^2 + (y2−y1)^2), etc.

2. Compare side lengths:
- all four equal → rhombus (and if also right angles → square)
- two pairs of adjacent equal sides → kite
- opposite sides equal in pairs → could be a parallelogram (but you also need to check slopes for parallelism to be sure)

3. Check slopes (if coordinates given) for parallel/perpendicular:
- slope QR = (y2−y1)/(x2−x1), etc. Opposite sides parallel if their slopes are equal → parallelogram/trapezoid tests.
- perpendicular sides have slopes that are negative reciprocals → right angles.

4. Check diagonals:
- In a rectangle diagonals are equal.
- In a rhombus diagonals are perpendicular.
- In a parallelogram diagonals bisect each other (midpoints equal).

Send the missing lengths or the coordinates/image and I’ll determine which statement is true.