Texts: Al-Balqa Applied University Qe Choose the correct answer.
1. In a finite projective geometry, space consists of:
A. at least 6 lines
B. at least 3 planes
2. A line and a point not in this line determine:
A. at least one plane
B. at most 6 lines
C. at most 3 planes
3. If a line contains exactly 3 points, then the space contains:
A. exactly one plane
C. exactly 6 points
D. exactly one space
4. If XYZ is an angle, then:
A. IntXYZ = 27 points
B. IntXYZ = 9 points
C. IntXYZ = 3 points
5. A segment UV intersects XYZ if:
A. XZ ∩ XYZ
B. XZ ∩ XYZ
C. InXYZ = {xx between U and V}
D. XZ ∩ 4XYZ
6. An angle whose measure is less than 90° is:
A. xx between U and V
B. xx between U and V
C. Right angle
D. U.V
7. Vertical angles are:
A. Supplementary angles
B. Congruent angles
C. Acute angles
D. Obtuse angles
8. A triangle whose two sides are congruent is said to be:
A. Isosceles
B. Equilateral
C. Right
D. Complementary
9. If there is a line that contains n points, then the plane contains exactly:
A. n points
B. n points
C. n points
D. Altitude
10. If U, V, W are two convex sets, then:
A. UOV convex set
B. UV convex set
C. UV convex set
D. UVW convex set
True or False:
1. In a non-Euclidean geometry, a set of lines is empty.
2. A math model in non-Euclidean geometry satisfies consistency, categoricalness, dependency, and completeness.
3. In a finite projective geometry, if y is a point, then there is a line L such that ye L.
4. In a finite projective geometry, a duality of AX is AX.
5. In Euclidean geometry, a plane is determined by three collinear points.
6. In Euclidean geometry, a space is determined by four non-coplanar points, three of them non-linear.
7. If XYZ are points, then Y is between XZ if mXY - mYZ = mXZ.
