Terminology
What is the meaning of the word collinear?
The term "collinear" is used in geometry to describe a set of points that all lie on the same straight line.
Two different points in space determine ______.
a line
Which of the following figures may not be coplanar?
a. triangle b. rhombus c. regular hexagon d. quadrilateral e. circle
d. quadrilateral (skew quadrilateral)
How many faces have parallelepiped?
6
How many vertices have tetrahedron?
4
What is the meaning of the word COPLANAR?
The term "coplanar" is used in geometry to describe a set of points, lines, or vectors that all lie within the same flat plane.
Three ________ points in space determine a plane.
non-collinear
How many planes can be determined by three parallel lines? (Write all possible cases)
1 or 3
How many edges have parallelepiped?
12
How many space diagonals have tetrahedron?
0
What is the meaning of the word skew lines?
Skew lines are a concept in geometry that refers to two non-parallel lines that do not lie in the same plane and thus, they do not intersect or coincide.
The intersection of two intersecting _______ is a line.
planes
Four points on a line are given. Can we determine a plane by using these points? Or how many planes can we determine?
NO. Infinitely many
How many space diagonals have parallelepiped?
4
What is the slant height of tetrahedron?
The term "slant height" is typically associated with pyramids, including tetrahedrons, and refers to the distance from the apex (top vertex) of the pyramid to a point on the perimeter of its base along the lateral face.
What is the meaning of the word AXIOM?
An axiom is a statement or proposition that is accepted as true without requiring formal proof.
There can be drawn ______ plane containing two parallel lines.
a.1
b.2
c.infinitely many
a.1
How many lines can we draw by using 7 non-collinear points, in space?
21
Find the lengths of the face diagonals of a cuboid with dimensions 3 m × 4 m × 6 m.
3sqrt(5)
5
2sqrt(13)
One edge of the tetrahedron equals to 4cm. Find total surface area of this figure.
15sqrt(3)
What is the meaning of the word dihedral angle?
The term "dihedral angle" is used in geometry to describe the angle formed between two intersecting planes. Specifically, it's the angle between two planes that intersect each other, and it's measured as the angle between their respective normal vectors.
If a line is parallel to another line lying in a plane, the line will be _______ to the plane.
a) parallel
b) intersect
c) coplanar
d) skew
parallel
How many planes can we draw from 9 non-coplanar points?
A rectangular box has dimensions 3 cm, 5 cm and 6 cm. What is the length of its space diagonal?
sqrt(70)
Find the slant height and median height of a regular tetrahedron with edge length 10 cm.
10sqrt(6)/3