CONSTRUCTIONS

To divide a line segment PQ in the ratio 5 : 7, first a ray PX is drawn so that ∠QPX is an acute angle and then at equal distances points are marked on the ray PX such that the minimum number of these points is
1. 5
2. 7
3. 12
4. 10
To divide a line segment AB in the ratio 4 : 7, a ray AX is drawn first such that ∠BAX is an acute angle and then points A1 A2 A3, … are located at equal distances on the ray AX and the point B is joined to
1. A4
2. A11
3. A10
4. A7
To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°, it is required to draw tangents at the end-points of those two radii of the circle, the angle between which is
1. 145°
2. 130°
3. 135°
4. 90°
When a line segment is divided in the ratio 2 : 3, how many parts is it divided into?
1. 2/3
2. 2
3. 3
4. 5
If the perpendicular distance between AP is given, which vertices of the similar triangle would you find first?
1. R
2. Q
3. P
4. A
If you need to construct a triangle with point P as one of its vertices, which is the angle that you need to construct a side of the triangle?
1. ∠QPR
2. ∠RQP
3. ∠PRQ
4. Angle PR makes with AC
If a triangle similar to given ΔABC with sides equal to 3/4 of the sides of ΔABC is to be constructed, then the number of points to be marked on ray BX is __.
1. 3
2. 4
3. 7
4. 6
Which of the following is not true for a point P on the circle?
1. Only 1 tangent can be drawn from point P
2. There are 2 tangents to the circle from point P
3. Perpendicular to the tangent passes through the center
4. None
There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?
1. O and P are co-incident points.
2. P is on the circle.
3. P is inside the circle.
4. P is outside the circle
A circle of radius r has a center O. What is first step to construct a tangent from a generic point P which is at a distance r from O?
1. With P as center and radius > r, draw a circle and then join OP.
2. With P as center and radius < r, draw a circle and then join OP.
3. With P as center and radius = r, draw a circle and then join OP.
4. Join OP.
A point C divides a line segment AB in the ratio 5:6. The ratio of lengths AB: BC is:
1. 11:5
2. 11:6
3. 6:11
4. 15:11
The point W divides the line XY in the ratio m: n. Then, the ratio of lengths of the line segments XY:WX is
1. m+n:m
2. m+n:n
3. m:m+n
4. m:n
What is the ratio AC/BC for the line segment AB following the construction method below?Step 1. A ray is extended from A and 30 arcs of equal lengths are cut, cutting the ray at A1,A2,…A30
Step 2. A line is drawn from A30 to B and a line parallel to A30B is drawn, passing through the point A17 and meet AB at C.
1. 13:30
2. 13:17
3. 17:13
4. 17:30
What is the ratio AC/BC for the following construction:A line segment AB is drawn.
A single ray is extended from A and 12 arcs of equal lengths are cut, cutting the ray at A1, A2… A12.

A line is drawn from A12 to B and a line parallel to A12B is drawn, passing through the point A6 and cutting AB at C.
1. 1:2
2. 1:1
3. 2:1
4. 3:1
The basic principle used in dividing a line segment is:
1. Tangent to a circle
2. Congruency of triangles
3. Similarity of triangles
4. None
To divide a line segment, the ratio of division must be
1. Negative and Rational
2. >1
3. <1
4. Positive and Rational

CONSTRUCTIONS

Quiz