Question

Which statements are true about triangle XYZ? Select three options.

XY measures units.
YZ measures units.
ZX measures units.
XYZ is a right triangle.
XYZ is a scalene triangle.

Answer 1

I don't have the diagram or the side‑length numbers, so I can't pick the three true statements yet. Please either upload the diagram or give the coordinates/lengths of X, Y, and Z.

How to determine the three true statements once you provide the figure:

1. Find the three side lengths
- If you have coordinates: use the distance formula between two points (d = sqrt[(x2−x1)^2 + (y2−y1)^2]).
- If the diagram gives tick marks or grid lengths, read those directly.

2. Compare lengths
- XY measures ___ units, YZ measures ___ units, ZX measures ___ units: fill in the computed values.
- If all three lengths are different, the triangle is scalene. If any two are equal, it is not scalene.

3. Check for a right triangle
- Using lengths: check the Pythagorean relation a^2 + b^2 = c^2 for the largest side c. If it holds (within rounding error) the triangle is right.
- Or using slopes: if the product of slopes of a pair of sides is −1, those sides are perpendicular, so the triangle is right.

If you paste the coordinates or upload the image, I'll compute the three side lengths and mark which three statements are true.