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class 9
| math
| introduction to euclid's geometry
Solutions for all the questions from class 9
of subject math
of chapter introduction to euclid's geometry
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
circles
complex numbers and quadratic equations
constructions
coordinate geometry
heron's formula
introduction to euclid's geometry
limits and derivatives
linear equations in two variable
lines and angles
number systems
View All ↓
Class 9
Math
All topics
Introduction To Euclid's Geometry
Why is Axiom
$5$
, in the list of Euclid's axioms, considered a 'universal truth'? (Note that the question is not about the fifth postulate.)
Class 9
Math
All topics
Introduction To Euclid's Geometry
In the figure, if
$AC=BD$
, then prove that
$AB=CD$
.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Does Euclid's fifth postulate imply the existence of parallel lines? Explain.
Class 9
Math
All topics
Introduction To Euclid's Geometry
How would you rewrite Euclid's fifth postulate so that it would be easier to understand?
Class 9
Math
All topics
Introduction To Euclid's Geometry
Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?
(i) parallel lines
(ii) perpendicular lines
(iii) line segment
(iv) radius of a circle
(v) square
Class 9
Math
All topics
Introduction To Euclid's Geometry
Which of the following statements are true and which are false? Give reasons for your answers.
$(i)$
Only one line can pass through a single point.
$(ii)$
There are an infinite number of lines which pass through two distinct points.
$(iii)$
A line can be produced indefinitely on both sides.
$(iv)$
If two circles are equal, then their radii are equal.
$(v)$
if
$AB=PQ$
and
$PQ=XY$
, then
$AB=XY$
.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Consider two 'postulates' given below:
(i) Given any two distinct points
$A$
and
$B$
, there exists a third point
$C$
which is in between
$A$
and
$B$
.
(ii) There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are there postulates consistent? Do they follow from Euclid's postulates? Explain.
Class 9
Math
All topics
Introduction To Euclid's Geometry
If a point
$C$
lies between two points
$A$
and
$B$
such that
$AC=BC$
, then prove that
$AC=21 AB$
. Explain by drawing the figure.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Point
$C$
is the mid-point of line segment
$AB$
, prove that every line segment has one and only one mid-point.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Define the following term :
Plane
1
2
3
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class 9
| math
| introduction to euclid's geometry
Solutions for all the questions from class 9
of subject math
of chapter introduction to euclid's geometry
Filter Results
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
math
CHAPTER
circles
complex numbers and quadratic equations
constructions
coordinate geometry
heron's formula
introduction to euclid's geometry
limits and derivatives
linear equations in two variable
lines and angles
number systems
View All ↓
Class 9
Math
All topics
Introduction To Euclid's Geometry
Why is Axiom
$5$
, in the list of Euclid's axioms, considered a 'universal truth'? (Note that the question is not about the fifth postulate.)
Class 9
Math
All topics
Introduction To Euclid's Geometry
In the figure, if
$AC=BD$
, then prove that
$AB=CD$
.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Does Euclid's fifth postulate imply the existence of parallel lines? Explain.
Class 9
Math
All topics
Introduction To Euclid's Geometry
How would you rewrite Euclid's fifth postulate so that it would be easier to understand?
Class 9
Math
All topics
Introduction To Euclid's Geometry
Give a definition for each of the following terms. Are there other terms that need to be defined first? What are they, and how might you define them?
(i) parallel lines
(ii) perpendicular lines
(iii) line segment
(iv) radius of a circle
(v) square
Class 9
Math
All topics
Introduction To Euclid's Geometry
Which of the following statements are true and which are false? Give reasons for your answers.
$(i)$
Only one line can pass through a single point.
$(ii)$
There are an infinite number of lines which pass through two distinct points.
$(iii)$
A line can be produced indefinitely on both sides.
$(iv)$
If two circles are equal, then their radii are equal.
$(v)$
if
$AB=PQ$
and
$PQ=XY$
, then
$AB=XY$
.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Consider two 'postulates' given below:
(i) Given any two distinct points
$A$
and
$B$
, there exists a third point
$C$
which is in between
$A$
and
$B$
.
(ii) There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are there postulates consistent? Do they follow from Euclid's postulates? Explain.
Class 9
Math
All topics
Introduction To Euclid's Geometry
If a point
$C$
lies between two points
$A$
and
$B$
such that
$AC=BC$
, then prove that
$AC=21 AB$
. Explain by drawing the figure.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Point
$C$
is the mid-point of line segment
$AB$
, prove that every line segment has one and only one mid-point.
Class 9
Math
All topics
Introduction To Euclid's Geometry
Define the following term :
Plane
1
2
3
Previous
page
1 / 1
You're on page
1
Next
page
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