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

You draw a triangle with angles 40°, 60°, and 80°. How many different triangles exist with these same three angle measures?

Exactly one — three conditions always determine a unique triangle.

None — you need at least one side length to construct any triangle.

Infinitely many — the angles fix the shape but not the size.

Exactly two — one for each orientation.