1. How many postulates did Euclid propose in his book "Elements"?
Answer:
Explanation:
Euclid proposed five postulates in his book "Elements" that form the foundation of geometry.
2. A terminal point which does not extend is called:
Answer:
Explanation:
A point is a basic entity in geometry that represents a specific location but has no size.
3. A straight path that extends infinitely in both directions is called:
Answer:
Explanation:
A line is an endless straight path that extends in both directions.
4. Which of the following is NOT a Euclid's postulate?
Answer:
Explanation:
This is not a direct postulate of Euclid. His fifth postulate speaks about parallel lines but in a different context.
5. According to Euclid's definition, a plane surface is:
Answer:
Explanation:
Euclid described a plane as a flat surface that extends without end in every direction.
6. The number of dimensions a plane has is:
Answer:
Explanation:
A plane has two dimensions – length and breadth.
7. How many axioms did Euclid propose?
Answer:
Explanation:
In addition to his postulates, Euclid introduced 7 axioms or common notions in his book.
8. If two lines intersect, how many points do they intersect at?
Answer:
Explanation:
Two lines can intersect at only one point.
9. A line segment can be extended indefinitely on:
Answer:
Explanation:
A line segment, according to Euclid, can be extended indefinitely in both directions to form a line.
10. Which of the following is an undefined term in geometry?
Answer:
Explanation:
Terms like "point", "line", and "plane" are fundamental and are not defined using simpler terms in Euclid's geometry.
11. The first postulate of Euclid is:
Answer:
Explanation:
This is Euclid's first postulate, establishing the possibility of drawing a straight line between two points.
12. According to Euclid's geometry, two distinct lines intersect in:
Answer:
Explanation:
In Euclidean geometry, two distinct lines either don't intersect or intersect in exactly one point.
13. "Things which are equal to the same thing are equal to one another" is:
Answer:
Explanation:
This statement is one of Euclid's axioms or common notions.
14. A part of a line with two distinct end points is called:
Answer:
Explanation:
A line segment is a portion of a line with two defined endpoints.
15. According to Euclid, during the movement of a figure, which of the following remains unchanged?
Answer:
Explanation:
According to Euclid's second postulate, a terminated line can be produced indefinitely, implying that distances between points remain unchanged during movement.
16. If a point lies outside a line and from that point two lines segments are drawn to the line such that they are equal and adjacent, then these line segments are:
Answer:
Explanation:
This is a reflection of Euclid's definition of a perpendicular line.
17. If a transversal intersects two parallel lines, then each pair of corresponding angles is:
Answer:
Explanation:
When a transversal intersects two parallel lines, each pair of corresponding angles are equal.
18. "A circle may be described with any center and any radius" refers to which postulate?
Answer:
Explanation:
This is Euclid's third postulate.
19. Which of the following is NOT a contribution of Euclid in geometry?
Answer:
Explanation:
The Pythagoras theorem was known before Euclid, and he only provided a proof for it in his book.
20. "If two triangles have two sides of the one equal to two sides of the other, each to each, and have also their bases equal, then their angles will also be equal." This statement is a/an:
Answer:
Explanation:
This is a geometrical theorem that can be proved using Euclid's postulates and axioms.