Geometric Constructions
Constructing tangents, dividing line segments and similar triangles.
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Take a full mock →Q1 · Geometric Constructions · EASY
To construct a triangle similar to a given triangle ABC with its sides 3/4 of the corresponding sides of triangle ABC, we need to divide a side of triangle ABC in the ratio:
Q2 · Geometric Constructions · EASY
To divide a line segment AB in the ratio 5:7, a ray AX is drawn making an acute angle with AB. What is the minimum number of points to be located at equal distances on ray AX?
Q3 · Geometric Constructions · EASY
To draw a tangent to a circle at a given point on it, the angle between the radius at that point and the tangent should be:
Q4 · Geometric Constructions · MEDIUM
In the construction of tangents from an external point P to a circle with centre O and radius 4 cm, where OP = 5 cm, the length of each tangent is:
Q5 · Geometric Constructions · MEDIUM
A line segment AB is to be divided in the ratio 3:4 internally. If a ray AX is drawn and 7 points are marked at equal intervals, and the last point is joined to B, which point should be joined to draw a line parallel to this line through?