Last updated: October 22, 2026 · Written by the Math Made Easy math teachers
Looking for a constructing triangles quiz? Then this Grade 7 quiz on Building Triangles from Sides and Angles asks 10 multiple-choice questions with instant feedback. Ten multiple-choice questions test the triangle inequality, angle sums and which conditions give one triangle, many or none. Wrong choices come from habits such as comparing each side only to the longest side or forgetting that angles fix shape, not size.
Standards: 7.G.A.2 · Level: Grade 7
What this Building Triangles from Sides and Angles quiz checks
- The triangle inequality says any two sides must add to more than the third side.
- SSS, SAS, ASA and AAS each give exactly one triangle when the conditions are possible.
- Three angles (AAA) fix the shape but not the size, so many triangles fit.
- Two sides with an angle not between them (SSA) can give no triangle, one or two.
The 10 questions of the quiz
- A woodworker has sticks cut to the lengths in each choice. Which choice can be joined end to end into a triangle?
- Two sides of a triangle are 8 in and 13 in. Which describes the third side?
- A triangle has angles of 36° and 84°. What is the third angle?
- Which conditions always give exactly one triangle?
- Use the figure to find the third angle.
- A triangle has angles of 25°, 65° and 90°. How many triangles have these angles?
- Why can sides of 4, 5 and 11 not form the triangle in the figure?
- In any triangle, the longest side is opposite which angle?
- An isosceles triangle has two sides of 9 in. Which describes the base x?
- A designer lists four angle triples for a triangular logo. Which triple is actually possible?
After the quiz
Missed a question? Reread the Building Triangles from Sides and Angles lesson, then take the quiz again. Next, solve the Grade 7 worksheet on Building Triangles from Sides and Angles, one star first, then two and three stars. Finally, take the chapter test under real conditions, without notes and with a timer.