subject

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?
To construct a triangle with sides 5 cm, 6 cm, and 7 cm, what is the first step?
What is the first step in constructing an equilateral triangle given one side?
What is the geometric place of points equidistant from the endpoints of a segment?
What is the locus of points equidistant from two given points?
What is the name of the point where the altitudes of a triangle meet?
What is the purpose of constructing the perpendicular bisector of a line segment?
What is the result of bisecting a 90° angle?
Which construction is used to divide a line segment into two equal parts?
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.
Describe how to construct the circumcircle of a given triangle using only a compass and straightedge.
Describe the steps to construct a line parallel 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 angles and the included side (ASA construction). List the steps in order.