Geometric Constructions
Math ⇒ Geometry
Geometric Constructions starts at 6 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Geometric Constructions.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 10
Describe the steps to construct a perpendicular from a point to a given line using only a compass and straightedge.
Describe the steps to construct a tangent to a circle from a point outside the circle.
Describe the steps to construct a triangle given two angles and the included side (ASA).
Describe the steps to construct an angle of 60° using only a compass and straightedge.
Explain how to construct a parallel line to a given line through a point not on the line using only a compass and straightedge.
Explain how to construct a triangle given two sides and the included angle (SAS).
Explain how to construct the bisector of a given angle using only a compass and straightedge.
Explain why it is not possible to trisect a general angle using only a compass and straightedge.
A student is given a segment AB and asked to construct a square such that AB is one of its sides. List the steps required for this construction using only a compass and straightedge.
A student is given a segment PQ and asked to divide it into 5 equal parts using only a compass and straightedge. Briefly describe the construction steps.
Describe the steps to construct the circumcircle of a given triangle using only a compass and straightedge.
Given a circle and a point P inside the circle (but not at the center), describe how to construct all chords passing through P that are equal in length.
Given a triangle ABC, describe the steps to construct its incircle using only a compass and straightedge.
