In Text Questions Try These (Text Book No. 83, 85,87,88) - Chapter 5 Geometry Term 1 7th Maths Guide Samacheer Kalvi Solutions - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Text Questions
Exercise $5.1$
Try These (Text book Page No. 83 )
Question $1 .$
Complete the following statements.
(i) A Line is a straight path that goes on endlessly in two directions.
(ii) A $\underline{\text { Line segment }}$ is a line with two end points.
(iii) A  Ray is a straight path that begins at a point and goes on and extends endlessly the other direction. 
(iv) The lines which intersect at right angles are Perpendicular lines.
(v) The lines which intersect each other at a point are called Intersecting lines.
(vi) The lines that never intersect are called $\underline{\text { Parallel lines }} .$

Question 2 .
Use a ruler or straightedge to draw each figure.

Question $3 .$
Look at the figure and answer the following questions.
(i) Which line is parallel to $\mathrm{AB}$.
(ii) Name a line which intersect CD.
(iii) Name the lines which are perpendicular to $\mathrm{GH}$
(iv) How many lines are parallel to IJ
(v) Will EF intersect AB? Explain.

Try These (Text Book Page No. 85)
Choose the correct answer
Question $1 .$
A straight angle measures
(a) $45^{\circ}$
(b) $90^{\circ}$
(c) $180^{\circ}$
(d) $100^{\circ}$
Solution:
(c) $180^{\circ}$
Solution:
No, they are not adjacent pairs.

Question $2 .$
An angle with measure $128^{\circ}$ is called angle.
(a) a straight
(b) an obtuse
(c) an acute
(d) Right
Solution:
(b) an obtuse

Question $3 .$
The corner of the A4 paper has
(a) An acute angle
(b) A right angle
(c) Straight
(d) An obtuse angle

Solution:
(b) a right angle

Question 4 .
If a perpendicular line is bisecting the given line, you would have two
(a) right angles
(b) obtuse angles
(c) acute angles
(d) reflex angles
Solution:
(a) right angle
 

Question 5 .
An angle that measure $0^{\circ}$ is called
(a) right angle
(b) obtuse angle
(c) acute angle
(d) Zero angle.
Solution:
(d) Zero angle

Try this (Text Book Page No. 86)
Question $1 .$
In each of the following figures, observe the pair of angles that are marked as $\angle 1$ and $\angle 2$. Do you think that they are adjacent pairs? Justify your answer.

Solution:
No, they are not adjacent pairs.
In (i) and (ii) angles $\angle 1$ and $\angle 2$ have no common vertex.
In (iii) the interiors of $\angle 1$ and $\angle 2$ overlaps.
$\therefore$ they are not adjacent angles.

Try these (Text book Page No. 87)
Question $1 .$
Few real life examples depicting adjacent angles are shown below.

Can you give three more examples of adjacent angles seen in real life?

Solution:

(i) Angles between leaf veins. [ $\angle 1$ and $\angle 2$ ],
(ii) Angles between adjacent pages of a book, when it is open $[\angle 1$ and $\angle 2]$.
(iii) Adjacent angles of scissors $[\angle 1$ and $\angle 2]$
 

Question $2 .$
Observe the six angles marked in the picture shown. Write any four pairs of adjacent angles and that are not. Solution:
Four pairs of adjacent angles are
1. $\angle \mathrm{A}$ and $\angle \mathrm{B}$
2. $\angle B$ and $\angle C$
3. $\angle \mathrm{C}$ and $\angle \mathrm{D}$
4. $\angle \mathrm{D}$ and $\angle \mathrm{E}$

Four pairs of non adjacent angles are.
1. $\angle \mathrm{A}$ and $\angle \mathrm{C}$
2. $\angle \mathrm{C}$ and $\angle \mathrm{F}$
3. $\angle \mathrm{E}$ and $\angle \mathrm{D}$
4. $\angle \mathrm{A}$ and $\angle \mathrm{F}$
 

Question $3 .$
Identify the common arm, common vertex of the adjacent angles and shade the interior with two colours in each of the following figures.

Question $4 .$
Name the adjacent angles in each of the following figure.

Solution:
(i) $\angle \mathrm{BAC}$ and $\angle \mathrm{CAD}$ are adjacent angles.
(ii) $\angle \mathrm{XWY}$ and $\angle \mathrm{YWZ}$ are adjacent angles.

Try These (Text Book Page No. 88)
Question $1 .$
Observe the following pictures and find the other angles of the linear pair.

(i) Given one angle $84^{\circ}$
$\therefore$ Other angle of the linear pair is $180^{\circ}-84^{\circ}=96^{\circ}$
(ii) One angle is given as $86^{\circ}$
Other angle of linear pair is $180^{\circ}-86^{\circ}=94^{\circ}$
(iii) Given one angle $=159^{\circ}$
Other angle of the linear pair $=180^{\circ}-159^{\circ}=21^{\circ}$
 

Try this (Text book Page No. 88 )

Question $1 .$
Observe the figure. There are two angles namely $\angle \mathrm{PQR}=150^{\circ}$ and $\angle \mathrm{QPS}=30^{\circ}$ Is all this pair of supplementary angles a linear pair? Discuss

Solution:
Given $\angle \mathrm{PQR}=150^{\circ}$
$\angle \mathrm{QPS}=30^{\circ}$
They are supplementary angles,
But they are not adjacent angles as they don't have common vertex or common arm.
$\therefore$ They are not a linear pair.