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.
How you perform is determined by your score and the time you take.
When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 7
Describe how to construct the angle bisector of a given angle.
Describe the steps to construct a triangle given two sides and the included angle.
Describe the steps to construct an angle of 90° at a given point on a line.
If you are given a line and a point not on the line, how do you construct a perpendicular from the point to the line?
If you are given a line segment AB, how do you construct its perpendicular bisector?
To construct a triangle given three sides, what is the first step?
A line segment AB is 8 cm long. Using only a compass and straightedge, how would you construct a point C on AB such that AC:CB = 3:1?
A student is asked to construct a triangle with sides of 4 cm, 5 cm, and 10 cm. Is this construction possible? Explain your answer.
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 instrument is used to measure an angle? (1) Compass (2) Protractor (3) Divider (4) Ruler
Which of the following constructions can be used to construct a 30° angle? (1) Bisect a 60° angle (2) Bisect a 90° angle (3) Bisect a 45° angle (4) Bisect a 120° angle
Which of the following constructions is possible using only a compass and straightedge? (1) Trisecting any angle (2) Constructing a perpendicular bisector (3) Doubling the cube (4) Squaring the circle
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 altitudes of a triangle meet.
Fill in the blank: The ________ is the point where the perpendicular bisectors of a triangle meet.
Fill in the blank: The ________ is the point where the three altitudes of a triangle meet.
To construct a 90° angle at a point on a line, you can construct two 60° angles and then bisect the remaining angle. True or False?
True or False: A straightedge is used to measure angles.
True or False: The angle bisector divides an angle into two equal parts.
True or False: The centroid of a triangle always lies inside the triangle.
