Back to Draw geometric shapes with given conditions — Problem 2 · Task Set 23

7.G.A.2 Tutor Intake -- Triangle Conditions and Uniqueness

This short check helps your tutor see where to start. Work on your own,
without a calculator. If you're unsure, give your best try — the goal is
to find what to work on together, not to grade you.

Grade 7·7 problems·~9 min·Common Core Math - Grade 7·standard·7-g-a-2

Work through problems with immediate feedback

Concepts

You are given three angle measures: 35 degrees, 65 degrees, and
80 degrees (they sum to 180 degrees). How many DIFFERENT
(non-congruent) triangles can be constructed with exactly these
three angles?

Exactly one — the three angles fully determine the triangle.

Infinitely many — the angles fix the shape, but any starting side length gives a valid, differently-sized triangle.

Exactly two — one acute version and one obtuse version.

None — three angles alone are never enough information.