मराठी

Solve the following question using appropriate Euclid’s axiom: In the following figure, we have AC = DC, CB = CE. Show that AB = DE.

Advertisements
Advertisements

प्रश्न

Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have AC = DC, CB = CE. Show that AB = DE.

बेरीज
Advertisements

उत्तर

Given, AC = DC  ...(i)

And C6 = CE  ...(ii)

According to Euclid’s axiom, if equals are added to equals, then wholes are also equal.

So, on adding equation (i) and (ii), we get

AC + CB = DC + CE

⇒ AB = DE

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Introduction To Euclid's Geometry - Exercise 5.3 [पृष्ठ ५१]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics Exemplar [English] Class 9
पाठ 5 Introduction To Euclid's Geometry
Exercise 5.3 | Q 10. | पृष्ठ ५१

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?

line segment


Consider two ‘postulates’ given below:-

  1. Given any two distinct points A and B, there exists a third point C which is in between A and B.
  2. There exist at least three points that are not on the same line.

Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.


If a point C lies between two points A and B such that AC = BC, point C is called a mid-point of line segment AB. Prove that every line segment has one and only one mid-point.


The number of dimensions, a surface has ______.


The total number of propositions in the Elements are ______.


Euclid belongs to the country ______.


Solve the following question using appropriate Euclid’s axiom:

Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.


Solve the following question using appropriate Euclid’s axiom:

In the following figure, we have ∠1 = ∠3 and ∠2 = ∠4. Show that ∠A = ∠C.


Solve the following question using appropriate Euclid’s axiom:

In the following figure, if OX = `1/2` XY, PX = `1/2` XZ and OX = PX, show that XY = XZ.


Read the following two statements which are taken as axioms:

  1. If two lines intersect each other, then the vertically opposite angles are not equal.
  2. If a ray stands on a line, then the sum of two adjacent angles so formed is equal to 180°.

Is this system of axioms consistent? Justify your answer.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×