# Free Basic Geometrical Ideas 02 Practice Test - 6th grade

There are two points in a plane. If you join these two points, then you will get a _____.

A.

ray

B.

line segment

C.

line

D.

collection of points

#### SOLUTION

Solution : B If you join any two points on a plane surface, a line segment will form since the surface is flat as given in the figure.

Two lines are such that they don't have any point in common to each other. Then these two lines are called as _______.

A.

intersecting lines

B.

parallel lines

C. (a) and (b) above.
D. None of the above

#### SOLUTION

Solution : B

If two lines don't have any points in common that means they don't have any point of intersection and hence they are parallel lines.

When three lines intersect each other at three different points, then how many angles will be formed?

A.

3

B.

6

C.

12

D.

24

#### SOLUTION

Solution : C In the figure above, three lines AB, BC and AC intersect each other at three points A, B, and C.

Total angles subtended at point A = 4. (As shown in the figure)

Similarly, four angles are subtended at points B and C.

Hence, the total number of angles that are formed when three lines intersect at three points = 4 + 4 + 4 = 12.

Maximum and minimum number of points of intersection of three lines are A and B respectively. Then A+B = ?

__

#### SOLUTION

Solution :

Three lines can intersect at 3 points (Maximum)

So, A = 3

Minimum number of points of intersection of three lines will be 1

So, B = 1 Hence, A + B = (3 +1) = 4.

The given figure shows map of a village. A denotes the location of a temple and B represents location of a school. A and B in mathematical terms are called __. #### SOLUTION

Solution :

A and B are called points in mathematical terms. A point represents a location in 2 dimensional space.

If one end of a line segment is extended indefinitely, then the geometrical figure obtained will be a __.

#### SOLUTION

Solution :

Ray is obtained when one end of a line segment is extended indefinitely.

The given figure shows two __ lines #### SOLUTION

Solution : The given figure can be visualized as two intersecting lines.

Take two sticks and a piece of rope. Drive one stick into the ground.  Form two loops, one at each end of the rope. Place one loop around the stick at the centre. Put the other around the other stick. Keep the sticks vertical to the ground. Keep the rope taut all the time and trace the path.

The figure obtained will be __.

#### SOLUTION

Solution :

A circle is a set of points on a plane which are at the same distance from a fixed point called centre.

The figure shown is a ___ #### SOLUTION

Solution : The figure shown is an open curve

Pavan says letter D is a polygon. Is he correct? A.

True

B.

False

#### SOLUTION

Solution : B

A polygon is any 2-dimensional closed figure formed with straight lines only.

In letter D, there is one line & one curve.

So, letter D is not a polygon.