Back to Make geometric constructions — Problem 1 · Task Set 12

Exercises: Make Formal Geometric Constructions

Work through each section in order. For construction problems, show all compass arcs and straightedge marks — do not erase construction lines. For multiple-choice problems, choose the best answer.

Grade 9·22 problems·~35 min·Common Core Math - HS Geometry·standard·hsg-co-d-12

Work through problems with immediate feedback

Fluency Practice

Each problem tests your knowledge of the six standard constructions. Identify the correct step, tool use, or construction outcome.

To copy segment AB to a new starting point P, which action correctly transfers the length?

Use a ruler to measure AB in millimeters, then mark the same length from P.

Set the compass width to AB by placing the point at A and pencil at B, then draw an arc from P without changing the width.

Draw a ray from P and estimate where to mark the endpoint by eye.

Place the straightedge so it touches both A and P, then mark where it meets the arc.