Drawing Geometric Shapes: Constructing Triangles and Exploring Uniqueness

Work through each section. For multiple-choice questions, select the best answer. For short-response questions, write complete sentences.

Grade 7·21 problems·~35 min·Common Core Math - Grade 7·standard·7-g-a-2

Work through problems with immediate feedback

Fluency Practice

A student constructs a triangle with sides 5 cm, 8 cm, and 6 cm using SSS. How many distinct triangles can be made with these three side lengths?

Zero — this fails the triangle inequality.

Exactly one (up to congruence).

Exactly two — one triangle and its mirror reflection.

Infinitely many — the angles are not fixed.