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 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).
A student constructs a triangle with sides 3 cm, 4 cm, and 8 cm. Is this construction possible?
A student is asked to construct a triangle with sides 5 cm, 7 cm, and 10 cm. Is this construction possible?
Which of the following constructions is possible using only a compass and straightedge? (1) Trisecting any given angle (2) Constructing the perpendicular bisector of a segment (3) Doubling the cube (4) Squaring the circle
Which of the following constructions is used to divide a line segment in the ratio 2:3? (1) Draw parallel lines and use similar triangles (2) Use a protractor to measure the ratio (3) Draw a circle with radius equal to the segment (4) Bisect the segment twice
Which of the following constructions is used to find the center of a given circle? (1) Draw a diameter and bisect it (2) Draw two chords, bisect them, and their perpendicular bisectors intersect at the center (3) Draw a tangent and measure its length (4) Draw a radius and double it
Which of the following is NOT a property of the perpendicular bisector of a segment? (1) It passes through the midpoint (2) It forms a right angle with the segment (3) Every point on it is equidistant from the segment's endpoints (4) It always passes through the origin
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 medians of a triangle.
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 perpendicular bisectors of the sides meet.
A student constructs a triangle with sides 3 cm, 4 cm, and 8 cm. Is this construction possible?
A student is asked to construct a triangle with sides 5 cm, 7 cm, and 10 cm. Is this construction possible?
True or False: A straightedge is used to measure the length of a line segment in geometric constructions.
True or False: It is possible to construct a regular heptagon (7-sided polygon) using only a compass and straightedge.
