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## Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 4 Geometry Additional Questions

Question 1.

From the given figure, name the parallel lines

Solution:

(i) Parallel Lines:

\(\overrightarrow{\mathrm{CD}}\) and \(\overrightarrow{\mathrm{EF}}\) ; \(\overrightarrow{\mathrm{CD}}\) and \(\overrightarrow{\mathrm{IJ}}\) ; \(\overrightarrow{\mathrm{EF}}\) and \(\overrightarrow{\mathrm{IJ}}\) are parallel lines.

(ii) Intersecting lines:

(a) \(\overrightarrow{\mathrm{AB}} \text { and } \overrightarrow{\mathrm{CD}}\)

(b) \(\overrightarrow{\mathrm{AB}} \text { and } \overrightarrow{\mathrm{EF}}\)

(c) \(\overrightarrow{\mathrm{AB}} \text { and } \overrightarrow{\mathrm{GH}}\)

(d) \(\overrightarrow{\mathrm{AB}} \text { and } \overrightarrow{\mathrm{IJ}}\)

(e) \(\overrightarrow{\mathrm{GH}} \text { and } \overrightarrow{\mathrm{IJ}}\)

(iii) Points of Intersection:

P, Q and R are the points of intersection.

Question 2.

(a) Name the line segments in the figure.

(b) Is Q, the endpoint of each line segment?

Solution:

(a) \(\overline{\mathrm{QP}} \text { and } \overline{\mathrm{QR}}\) are the line segments

(b) Yes, Q is the end point of each line segment

Question 3.

How many lines can pass through

(a) one given point

(b) two given points.

Solution:

(a) An infinite number of lines can pass through one given point.

(b) Exactly one and only one line can pass through two given points.

Question 4.

A line contains how many points?

(a) minimum?

(b) maximum?

Solution:

(a) A line contains a minimum of two points.

(b) A line contain a maximum of infinitely many points.

Question 5.

Write the (a) maximum and (b) the minimum number of point of intersection of three lines.

Solution:

Maximum – 3 points of intersection

Minimum – No point of intersection

Fill in the blanks.

Question 6.

Complementary angle of 20° is _____

Solution:

70°

Question 7.

The supplementary angle of 90° is _____

Solution:

90°

Question 8.

78°, 12°, ______

Solution:

Complementary angle

Answer the following question.

Question 9.

∠ABD =?

Solution:

On Sum of complementary angles = 90°

∠ABC = 90°

∠CBD = 30°

∠ABD = ∠ABC – ∠DBC = 90° – 30° = 60°

∠ABD = 60°

Complementary angle of 30° = 60°

Question 10.

In the following figure, name the angles.

Solution:

∠AOB, ∠BOZ, ∠AOZ

Question 11.

Write the alternate name of the angle ∠XYZ in the given figure.

Solution:

∠Y or ∠ZYX

Question 12.

Draw the diagram of two angles having only one common point.

Solution:

∠COD and ∠AOB have the point ‘O’ in common

Question 13.

What are the supplementary and complementary angles of 60°?

Solution:

Supplementary angle is 120°

Complementary angle is 30°

Question 14.

How many lines can you draw passing through three collinear points? Draw the figure also.

Solution:

Only one.

Question 15.

Write the maximum number of lines that can pass through a single point.

Solution:

Infinite.

Question 16.

Use a protractor to draw an angle 45°.

Solution:

Construction:

1. Drawn the base ray PQ.

2. Placed the centre of the protractor at the vertex P. Lined up the ray \(\overrightarrow{\mathrm{PQ}}\) with the 0° line. Then drawn and labelled a pointed (R) at the 45° mark on the inner scale (a) anticlockwise and (b) outer scale (clockwise)

3. Removed the protractor and drawn at \(\overrightarrow{\mathrm{PR}}\) to complete the angle

Now ∠P = ∠QPR = ∠RPQ = 45°.