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 11
Describe how to construct a triangle given two angles and the included side (ASA construction).
Describe the steps to construct a 60° angle using only a compass and straightedge.
Describe the steps to construct a triangle given its three sides (SSS construction).
Explain why it is impossible to construct a triangle with sides 2 cm, 3 cm, and 6 cm.
Explain why it is impossible to construct a triangle with sides 2 cm, 3 cm, and 6 cm.
Given a circle with center O and a point P outside the circle, explain how to construct the tangents from P to the circle.
Given a triangle with sides 5 cm, 7 cm, and 8 cm, describe how you would construct it using only a ruler and compass.
A triangle has vertices at A(0,0), B(6,0), and C(2,4). Calculate the coordinates of the centroid of the triangle.
Which construction is used to divide a given segment into a given number of equal parts? (1) Perpendicular bisector construction (2) Parallel line construction (3) Angle bisector construction (4) Tangent construction
Which geometric tool is essential for constructing a perpendicular bisector of a line segment? (1) Protractor (2) Compass (3) Ruler (4) Set square
Which of the following constructions is NOT possible using only a straightedge and compass? (1) Trisecting a general angle (2) Constructing a perpendicular bisector (3) Constructing an equilateral triangle (4) Bisecting an angle
Which of the following constructions is used to copy a given angle at a point on a line? (1) Angle bisector construction (2) Perpendicular bisector construction (3) Angle copying construction (4) Parallel line construction
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 center of the circle inscribed in the triangle.
Fill in the blank: The ________ of a triangle is the point where the altitudes intersect.
Fill in the blank: The circumcenter of a triangle is equidistant from all the triangle's ________.
True or False: The angle bisectors of a triangle always meet at a single point.
True or False: The centroid of a triangle is the intersection of its medians.
True or False: The circumcenter of a triangle can lie outside the triangle.
True or False: The incenter of a triangle is always inside the triangle.
