Question

question 7
many simple three-dimensional figures are described using ____ __, and ____.
a. altitude
b. weight
c. length
d. height
e. width

question 8
the cartesian coordinate system can be used to describe three-dimensional space using three axes instead of two. what are their labels?
check all that apply.
a. z
b. y
c. v
d. x
e. a

question 9
if you use a pair of x- and y-coordinates (x, y) to represent a point in a two-dimensional cartesian coordinate system, how would you represent a point in a three-dimensional cartesian coordinate system?
a. (x, y, v)
b. (w, x, y)
c. (x, y, z)
d. x, y, z

question 10
many rules concerning two-dimensional geometry have three-dimensional analogues.
a. true
b. false

Explanation:

Question 7:

Three-dimensional figures are defined by their three linear measurements along perpendicular axes, which are length, height, and width.

Question 8:

The standard 3D Cartesian coordinate system uses three orthogonal axes labeled x, y, and z.

Question 9:

A point in 3D Cartesian space extends the 2D (x,y) notation by adding the z-coordinate, formatted as an ordered triple.

Question 10:

Most core rules of 2D geometry (e.g., distance formulas, coordinate operations) have direct extended versions for 3D space.

Answer:

Question 7: C. length, D. height, E. width
Question 8: A. z, B. y, D. x
Question 9: C. $(x, y, z)$
Question 10: A. True