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Read the following statements: An equi...

Read the following statements:
An equilateral triangle is a polygon made up of three line segments out of which two line segments are equal to the third - one and all its angles are `60^(@)` each.
Define the terms used in this definition which you feel necessary. Are there any undefined terms in this ? Can you justify that all sides and all angles are equal in a equilateral triangle.

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To solve the problem step by step, we will define the necessary terms, identify any undefined terms, and justify why all sides and angles in an equilateral triangle are equal. ### Step 1: Define the Necessary Terms 1. **Polygon**: A polygon is a closed figure formed by a finite number of line segments connected end to end. Each line segment is called a side of the polygon. 2. **Line Segment**: A line segment is a part of a line that is bounded by two distinct endpoints. It has a definite length. 3. **Angle**: An angle is formed by two rays (or line segments) that share a common endpoint, called the vertex of the angle. Angles are measured in degrees. ...
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NCERT EXEMPLAR-INTRODUCTION TO EUCLID GEOMETRY-Introduction To Euclid Geometry
  1. "For every line L and for every point P not lying on a given line L, t...

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  2. Two distinct intersecting lines cannot be parallel to the same line.

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  3. Attempt to prove Euclid 's fifth postulate using the other postulates ...

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  4. Two salesmen make equal sales during the month of August. In September...

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  5. It is known that x+y=10 and that x=z. Show that z+y=10.

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  6. Look at the adjoining figure. Show that length AH gt sum of lengths of...

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  7. In the adjoining figure, if AB = BC and BX =BY, then show that AX=CY

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  8. In the adjoining figure , we have X and Y are the mid - point of A...

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  9. In the adjoining figure , if BX=(1)/(2)AB,BY=(1)/(2)BCand AB=BC, then...

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  10. In the adjoining figure, we have angle1=angle2 and angle 2 =angle3. S...

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  11. In the adjoining figure, we have angle1=angle3 and angle2=angle4. Sho...

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  12. In the ajoining figure , we haveangleABC=angleACBand angle3=angle4. Sh...

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

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  14. In the adjoining figure, OX =1/2XY, PX =1/2XZ and OX =PX. Show that XY...

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  15. In the adjoining figure (i) AB=BC, M is the mid -point of A...

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  16. Read the following statements: An equilateral triangle is a polygon ...

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  17. Study the following statements " Two intersecting lines cannot ...

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  18. Read the following statements which are taken as axioms (i) If a t...

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  19. Read the following two statements which are taken as axiom: (i) If ...

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  20. Read the following axioms (i) Things which are equal to the same th...

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