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Worksheets16-30 сұрақ
Total questions: 15
Worksheet time: 8mins
Name
Class
Date
1.
Undefined concepts are…
a)
Point, line, plane
b)
Square, circle
c)
Mass, speed
d)
Figure, body
e)
Basic geometric notions
2.
What does it mean that the system of axioms is independent?
a)
No axiom can be deduced from the others
b)
All axioms can be replaced
c)
Axioms can be proven
d)
Axioms can contradict each other
e)
Each axiom is necessary
3.
What concepts are considered basic in geometry?
a)
Point, line, plane
b)
Triangle, square
c)
Circle, sphere
d)
Rays and angles
e)
Fundamental geometric entities
4.
An axiomatic system must be…
a)
Consistent
b)
Complex
c)
Infinite
d)
Abstract
e)
Logically coherent
5.
What does adding a new axiom lead to?
a)
Towards expansion of the theory
b)
Towards exclusion of evidence
c)
Towards reduction of the number of models
d)
Towards complication of formulas
e)
New derivable theorems
6.
Through two points A and B one can draw:
a)
Only one straight line
b)
Three straight lines
c)
Not a single straight line
d)
Infinitely many
e)
Unique line principle
7.
Points A and B lie in plane α. Does the entire line AB lie in this plane?
a)
Yes
b)
No
c)
Partially
d)
Depends on coordinates
e)
Always, by the plane-line axiom
8.
Through a point C outside a line a, a line parallel to a can be drawn. How many such lines?
a)
One
b)
Two
c)
None
d)
Three
e)
Unique parallel postulate
9.
Through points A, B, C, which do not lie on the same line, one can draw:
a)
One single plane
b)
Two planes
c)
Infinitely many
d)
None
e)
Unique plane defined by three points
10.
Two intersecting lines have:
a)
One common point
b)
Two common points
c)
Infinitely many
d)
No common points
e)
Exactly one intersection
11.
If M belongs to the segment AB, then:
a)
Points A, M, B lie on the same line
b)
M is the vertex of the triangle
c)
M lies outside the line
d)
M is the midpoint of the segment
e)
Collinearity of points
12.
AB = 10 cm. Find AM if M is the midpoint of the segment.
a)
5 cm
b)
6 cm
c)
4 cm
d)
8 cm
e)
Half of AB
13.
How many perpendiculars can be dropped from point C to line a?
a)
One
b)
Two
c)
None
d)
Infinitely many
e)
Exactly one by definition
14.
Two parallel lines are 4 cm apart. A third line is perpendicular to them. What is the distance?
a)
4 cm
b)
2 cm
c)
6 cm
d)
1 cm
e)
Distance equals separation between parallels
15.
Three points A, B, C form a plane if:
a)
Do not lie on the same line
b)
Lie on the same line
c)
Coincide
d)
Cannot be determined
e)
Non-collinear points define a plane
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