Additional Questions - Chapter 4 Geometry Term 1 6th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

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) $\overrightarrow{\mathrm{AB}}$ and $\overrightarrow{\mathrm{CD}}$
(b) $\overrightarrow{\mathrm{AB}}$ and $\overrightarrow{\mathrm{EF}}$
(c) $\overrightarrow{\mathrm{AB}}$ and $\overrightarrow{\mathrm{GH}}$
(d) $\overrightarrow{\mathrm{AB}}$ and $\overrightarrow{\mathrm{IJ}}$
(e) $\overrightarrow{\mathrm{GH}}$ and $\overrightarrow{\mathrm{IJ}}$

(iii) Points of Intersection:
$\mathrm{P}, \mathrm{Q}$ and $\mathrm{R}$ 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) $\overline{\mathrm{QP}}$ 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 $20^{\circ}$ is
Solution:
$70^{\circ}$
 

Question $7 .$
The supplementary angle of $90^{\circ}$ is
Solution:
$90^{\circ}$
 

Question $8 .$
$78^{\circ}, 12^{\circ}$,
Solution:
Complementary angle

Answer the following question.

Question $9 .$
$\angle \mathrm{ABD}=$ ?

Solution:
On Sum of complementary angles $=90^{\circ}$
$\angle \mathrm{ABC}=90^{\circ}$
$\angle \mathrm{CBD}=30^{\circ}$
$\angle \mathrm{ABD}=\angle \mathrm{ABC}-\angle \mathrm{DBC}=90^{\circ}-30^{\circ}=60^{\circ}$
$\angle \mathrm{ABD}=60^{\circ}$
Complementary angle of $30^{\circ}=60^{\circ}$
 

Question 10.
In the following figure, name the angles.

Solution:
$\angle \mathrm{AOB}, \angle \mathrm{BOZ}, \angle \mathrm{AOZ}$
 

Question 11.
Write the alternate name of the angle $\angle \mathrm{XYZ}$ in the given figure.

Solution:
$\angle \mathrm{Y}$ or $\angle \mathrm{ZYX}$
 

Question 12.
Draw the diagram of two angles having only one common point.

Solution:
$\angle \mathrm{COD}$ and $\angle \mathrm{AOB}$ have the point ' $\mathrm{O}$ ' in common

Question $13 .$
What are the supplementary and complementary angles of $60^{\circ}$ ?
Solution:
Supplementary angle is $120^{\circ}$
Complementary angle is $30^{\circ}$
 

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 $45^{\circ}$.
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 $0^{\circ}$ line. Then drawn and labelled a pointed (R) at the $45^{\circ}$ 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 $\angle \mathrm{P}=\angle \mathrm{QPR}=\angle \mathrm{RPQ}=45^{\circ}$.