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 8
Describe the steps to construct a 90° angle using only a compass and straightedge.
Describe the steps to construct a parallel line to a given line through a point not on the line.
Describe the steps to construct a tangent to a circle from a point outside the circle.
Describe the steps to construct an angle of 60° using only a compass and straightedge.
Describe the steps to construct the angle bisector of a given angle.
Explain how to construct a regular hexagon inside a given circle.
Explain how to construct a triangle given the lengths of all three sides (SSS construction).
Explain how to construct a triangle given two sides and the included angle (SAS construction).
To construct a line parallel to a given line through a point not on the line, which geometric concept is used? (1) Perpendicular bisector (2) Alternate interior angles (3) Angle bisector (4) Median
Which construction is 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 radius
Which construction method is used to copy a given angle at a point on a line? (1) Using a protractor (2) Using a compass and straightedge (3) Using a ruler only (4) Using a set square
Which of the following constructions is NOT possible using only a compass and straightedge? (1) Bisecting an angle (2) Trisecting an arbitrary angle (3) Drawing a perpendicular bisector (4) Constructing an equilateral triangle
Fill in the blank: The ______ is the point of intersection of the altitudes of a triangle.
Fill in the blank: The ______ is the point of intersection of the angle bisectors of a triangle.
Fill in the blank: The ______ is the point of intersection of the medians of a triangle.
Fill in the blank: The ______ is the point of intersection of the perpendicular bisectors of a triangle.
True or False: A straightedge is used to measure the length of a line segment in geometric constructions.
True or False: The centroid divides each median of a triangle in the ratio 2:1.
True or False: The centroid of a triangle is the point where the medians intersect.
True or False: The circumcenter of a triangle is always inside the triangle.
