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II. Fill in the Blanks

1. The name of the famous book of Euclid is [tex]$\qquad$[/tex]
2. Euclid's famous book contains [tex]$\qquad$[/tex] chapters.
3. Number of propositions contained in Euclid's famous book is [tex]$\qquad$[/tex]
4. [tex]$\qquad$[/tex] lines can be drawn through a given point.
5. Only [tex]$\qquad$[/tex] line can be drawn through a given point and parallel to a given line (not containing the point).
6. Through two given points, only [tex]$\qquad$[/tex] line can be drawn.
7. Number of lines that can be drawn through a given point and perpendicular to a given line (not containing the point) is [tex]$\qquad$[/tex]
8. Two unequals [tex]$\qquad$[/tex] be equal to the same thing.
9. A part cannot be [tex]$\qquad$[/tex] to a whole.
10. If both [tex]$x$[/tex] and [tex]$z$[/tex] are equal to three-fourths of [tex]$y$[/tex], then [tex]$\qquad$[/tex]



Answer :

GinnyAnswer
Certainly! Let's fill in the blanks step-by-step based on our knowledge of Euclidean geometry and the information provided.

1. The name of the famous book of Euclid is "Elements".

2. Euclid's famous book contains 13 chapters.

3. Number of propositions contained in Euclid's famous book is 465.

4. Infinitely many lines can be drawn through a given point.

5. Only 1 line can be drawn through a given point and parallel to a given line (not containing the point).

6. Through two given points, only 1 line can be drawn.

7. Number of lines that can be drawn through a given point and perpendicular to a given line (not containing the point) is 1.

8. Two unequals cannot be equal to the same thing.

9. A part cannot be equal to the whole.

10. If both [tex]\( x \)[/tex] and [tex]\( z \)[/tex] are equal to three-fourths of [tex]\( y \)[/tex], then True.

So, summarizing:

1. Elements
2. 13
3. 465
4. Infinitely
5. 1
6. 1
7. 1
8. cannot
9. equal
10. True

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