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 9
Describe how to construct a line parallel 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 equilateral triangle given one side.
Describe the steps to construct the perpendicular bisector of a given line segment.
Explain how to construct the angle bisector of a given angle.
Explain how to copy a given angle using only a compass and straightedge.
Explain the difference between a straightedge and a ruler in geometric constructions.
A student wants to construct a triangle with sides 5 cm, 7 cm, and 13 cm. Is this possible?
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 secant
Which construction method is used to construct a triangle given two sides and the included angle? (1) SSS (2) SAS (3) ASA (4) AAS
Which instrument is primarily used to draw circles in geometric constructions? (1) Protractor (2) Compass (3) Ruler (4) Set square
Which of the following angles can be constructed exactly using compass and straightedge? (1) 20° (2) 30° (3) 40° (4) 80°
Fill in the blank: The __________ is the largest circle that can be drawn inside a triangle.
Fill in the blank: The __________ is the point from which all points on a circle are equidistant.
Fill in the blank: The __________ of a triangle is the point where the altitudes meet.
Fill in the blank: The __________ of a triangle is the point where the three altitudes meet.
A student wants to construct a triangle with sides 5 cm, 7 cm, and 13 cm. Is this possible?
Is it possible to construct a 45° angle using only a compass and straightedge?
Is it possible to construct a 60° angle using only a compass and straightedge?
Is it possible to construct a regular hexagon inside a given circle using only a compass and straightedge?
