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.
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See sample questions for grade 6
Describe how to construct a 60° angle using only a compass and straightedge.
Describe how to construct a triangle given its three side lengths.
Describe the steps to construct a line parallel to a given line through a point not on the line.
If you are given a line segment AB, how do you construct its midpoint using only a compass and straightedge?
If you are given a triangle, how can you construct its incenter?
What is the first step in constructing a perpendicular bisector of a line segment?
What is the name of the point where the medians of a triangle meet?
A student is given a line segment PQ and is asked to construct a line perpendicular to PQ at point Q using only a compass and straightedge. Describe the steps the student should follow.
Which instrument is used to measure and construct angles? (1) Compass (2) Protractor (3) Divider (4) Ruler
Which of the following constructions can be used to find the center of a given circle? (1) Drawing a tangent (2) Drawing two chords and their perpendicular bisectors (3) Drawing a diameter (4) Drawing a secant
Which of the following constructions is used to create a triangle with all sides equal? (1) Constructing a right triangle (2) Constructing an equilateral triangle (3) Constructing an isosceles triangle (4) Constructing a scalene triangle
Which of the following is NOT a geometric construction? (1) Drawing a perpendicular bisector (2) Drawing a freehand sketch (3) Constructing an angle bisector (4) Drawing a circle with a compass
Fill in the blank: The ______ is the point inside a triangle that is equidistant from all three sides.
Fill in the blank: The ______ is the point where the three altitudes of a triangle intersect.
Fill in the blank: The ______ is the point where the three medians of a triangle intersect.
Fill in the blank: The ______ is the point where the three perpendicular bisectors of a triangle meet.
True or False: A compass can be used to copy a given length from one place to another.
True or False: A perpendicular bisector always passes through the midpoint of a line segment.
True or False: A set square can be used to draw parallel lines.
True or False: A straightedge is used to draw straight lines.
