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5.01 Understand Transformations in Cartesian Space

Total questions: 30

Worksheet time: 28mins

Name
Class
Date
1.

What does this statement describe: a system of coordinates that uses numbers to represent a point, line, or the like. (slide 2)

(a)  

2.

Coordinate systems are used to locate objects in (a)   space. (Slide 2, line 1)

3.

3D modeling software uses the (a)   Coordinate System. (Last line of slide 3) (René Descartes: A French mathematician, scientist, and philosopher. A Cartesian space is either 2D or 3D, in which the axes are mutually perpendicular.)

4.

The Cartesian Coordinate System was developed by René Descartes. A French mathematician, scientist, and philosopher. A Cartesian space is either 2D or 3D, in which the axes are mutually perpendicular. The word 'perpendicular' indicates that the intersecting lines will create (a)   angles.

5.

Euclid is best known for his treatise on geometry “The Elements”. A Point, line, line segment, and ray are some of the basic elements in (a)   . (Slide 5, last sentence)

6.

Line segment, line, point, ray are all elements of (a)   (a branch of math).

7.

The lines drawn perpendicular (90°) to each other for the purpose of measuring transformation are called the (a)   . (Slide 6, first paragraph)

8.

Horizontal axis is called the (a)   . (Slide 6)

9.

The vertical axis in the Cartesian Coordinate System is called the (a)   axis. (Slide 6)

10.

Where axes intersect is called the (a)   . (Slide 6)

11.

2D Cartesian system creates (a)   quadrants. (Slide 6)

12.

This coordinate system relates to a selected object. A book in object space* rests on a table in world space. The book has its own local coordinate system. Each object has its own local center and coordinate system as defined by the location and orientation of the object's pivot point. What coordinate system is this? * object space: the local 3D space of the object. (Slide 7, 2nd paragraph, bolded term Local coordinate system)

a)

local

b)

world

13.

Which coordinate system (Global) relates to the entire scene, or virtual environment.

a)

world

b)

local

14.

Every object has a (a)   point that represents its local center and local coordinate system. (Slide 7, 4th paragraph.)

15.

What are essentially just changes in location, orientation, or size of an object. Measured from the object’s assigned pivot. (Slide 8, 1st paragraph)

(a)  

16.

Position: (a)   places an element relative to its parent’s position and changing the layout around it. What type of position is the statement describing? (absolute or relative position) (Slide 8, last paragraph)

17.

https://ww2.mathworks.cn/help/phased/ug/globalandlocalcoordinatesystems.htmlhttps://ww2.mathworks.cn/help/phased/ug/global-and-local-coordinate-systems.html  Position: (a)   places an element relative to its current position without changing the layout around it. What position is this statement describing? (Slide 8, 3rd paragraph)

18.

Move refers to an object's position in space. Is this correct? (Slide 9)

a)

Yes

b)

No

19.

(a)   - object’s size; changes distances between subobject (subgeometry) elements. What word is missing? (Slide 9) (Subobject: An object that is part of another object.)

20.

______: Smallest component of an object; single point in space (Slide 11, line 1 below the slide title) What is the missing term?

a)

Vertex

b)

edge

c)

border

d)

element

21.

(a)   connect 2 vertices; also called lines, segments (Slide 11, line 2 below the slide title)

22.

(a)   3 vertices connected in a triangular formation; also called “polygonal faces” or “polys”; smallest 3D mesh object (Slide 11, 3rd line below the slide title)

23.

(a)   : 4-sided, or quadrilateral polygons (Slide 11, 4th paragraph below the slide title)

(Examples of quadrilateral polygons: rhombus, parallelogram, rectangles, kite, square, and trapezoid, etc.)

24.

(a)   : Collection of connected sub-objects (Examples of sub-objects in a 3D object are: vertex, edge, border, face, and element.)

25.

(a)   : This refers to the characteristics of the surface of a polygonal mesh. ( A polygon mesh is a collection of vertices, edges, and faces that defines the shape of a polyhedral object.) (Slide 11, #6 term in blue)

26.

A three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices. What's the name of this shape? (Slide 11, last two lines)

(a)  

27.

Transformations of one object can influence those of other objects. What is the most important word in this short sentence? (Alternative methods of transforming objects include: Linking/Parenting, Grouping, Constraints, Bones systems.) (Slide 12)

(a)  

28.

Linking a child to a parent in this transformation results in a hierarchical chain. All transformations applied to the parent object are applied to the child object. Which transformation are we observing here? Choose from Linking, Grouping, Constraints, and Bones Systems. (Slide 13)

(a)  

29.

Grouping transformation associates the selected objects to a group node object. Group object has one p _ v _ t. Any transformations made to the group will influence the objects within that group. A Node object serves as a container for a function, like virtual lights and camera, or for one or more objects in a scene. (Part of a word in blue is missing. What's this word?) (Slide 14)

(a)  

30.

Animation constraints and bones systems affect object transformations. Bones are used for rigging. Rigging: Process of setting controls for an object that is to be animated. Do animation constraints and bones systems have an influence on an object? (Slide 15)

a)

Yes

b)

No