Question

Match up the key terms with their definition.

1. rigid motion: _
2. rotation: _
3. reflection: _
4. transformation: _
5. reflection: _
6. reflection: _
7. line of symmetry: _
8. image: _
9. origin: _

a. the new position of a point, line, or figure after a transformation
b. the circular motion of a figure around a fixed center point
c. a change in the size, position, or orientation of a geometric shape
d. a rigid transformation resulting in a mirror image
e. a transformation that preserves distance and angle measure; also known as rigid transformation
f. the intersection of coordinate axes
g. an imaginary line midway between each point of a preimage and its corresponding point on the image after a reflection
h. a special relationships between terms in an equation where each input has a single output, many times it is written as f(x), where x is a value that is inputted
i. the transformation of a shape across a line of reflection
j. the production of an image by or as if by using a mirror

Answer 1

Here are the matches for the key terms with their definitions:

1. rigid motion: **e** - a transformation that preserves distance and angle measure; also known as rigid transformation
2. rotation: **b** - the circular motion of a figure around a fixed center point
3. reflection: **d** - a rigid transformation resulting in a mirror image
4. transformation: **c** - a change in the size, position, or orientation of a geometric shape
5. reflection: **i** - the transformation of a shape across a line of reflection
6. reflection: **j** - the production of an image by or as if by using a mirror
7. line of symmetry: **g** - an imaginary line midway between each point of a preimage and its corresponding point on the image after a reflection
8. image: **a** - the new position of a point, line, or figure after a transformation
9. origin: **f** - the intersection of coordinate axes

(Note: Definitions for "reflection" listed twice were matched to different options based on their descriptions.)