Advertisements
Advertisements
प्रश्न
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.

Advertisements
उत्तर
Given, ∠1 = ∠2 ...(i)
And ∠2 = ∠3 ...(ii)
According to Euclid’s axiom, things which are equal to the same thing are equal to one another.
From equations (i) and (ii),
∠1 = ∠3
APPEARS IN
संबंधित प्रश्न
If a point C lies between two points A and B such that AC = BC, then prove that AC = `1/2` AB. Explain by drawing the figure.
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.
In the following figure, if AC = BD, then prove that AB = CD.

How many lines can be drawn through a given point.
A pyramid is a solid figure, the base of which is ______.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is ______.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for ______.
Solve the following question using appropriate Euclid’s axiom:
Look at the figure. Show that length AH > sum of lengths of AB + BC + CD.

Read the following statements which are taken as axioms:
- If a transversal intersects two parallel lines, then corresponding angles are not necessarily equal.
- If a transversal intersect two parallel lines, then alternate interior angles are equal.
Is this system of axioms consistent? Justify your answer.
Read the following two statements which are taken as axioms:
- If two lines intersect each other, then the vertically opposite angles are not equal.
- 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.
