To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)

Rigid Motion Worksheet

Rigid Motion Worksheet
  • Page 1
 1.  
What is the name of the transformation shown?.


a.
dilation
b.
rotation
c.
reflection
d.
translation


Solution:

A reflection is an isometry which reverses the orientation of a figure.
[Definition.]


Correct answer : (3)
 2.  
What is the name of the transformation shown?


a.
reflection
b.
translation
c.
dilation
d.
rotation


Solution:

A rotation is an isometry that does not change orientation. Clearly the figure (b) is obtained by rotating the figure (a) through 180° about the point A in the clockwise direction.


Correct answer : (4)
 3.  
The quadrilateral ABCD has undergone through a reflection as shown. Which triangle is congruent to ΔBCD.

a.
Δ GEF
b.
Δ FGH
c.
Δ GHE
d.
Δ FEH


Solution:

In the figure shown quadrilateral ABCD has undergone through a reflection about a line. The image of quadrilateral ABCD is quadrilateral EFGH in which Δ BCD is the image of Δ FGH. So ΔBCD Δ FGH.


Correct answer : (2)
 4.  
What is the name of the transformation shown?

a.
dilation
b.
translation
c.
rotation
d.
reflection


Solution:

Translation is a transformation that moves points, the same distance in the same direction. So the transformation shown is a translation.


Correct answer : (2)
 5.  
Does the transformation appear to be an isometry?

a.
no
b.
yes
c.
cannot be determined


Solution:

The transformation is not an isometry because the image and pre image are not congruent.


Correct answer : (1)
 6.  
A, B, C, D are points on a line L as shown. If A′ is the reflection of A in line L, then which of the following is correct?


a.
A′ = C
b.
A′ = A
c.
A′ = B
d.
A′ = D


Solution:

A is a point on the line L, so its image in line L is itself.
[Definition.]


Correct answer : (2)
 7.  
Name the change in the figure from figure (A) to figure (B).

a.
slide
b.
rotation
c.
reflection


Solution:

The figure A is rotated 180° to form figure B.

Hence the transformation, that has taken place from figure A to figure B is Rotation.


Correct answer : (2)
 8.  
Name the transformation XUVW X′ U′ V′ W′shown.


a.
rotation
b.
flip
c.
slide
d.
turn


Solution:

The figure was pulled aside without any alteration in the figure, that is, slided. So, the change is a slide.
[Figure XUVW was transformed to X′ U′ V′ W′, which is a slide.]


Correct answer : (3)
 9.  
Which of the following is the image of the figure ABCD?

a.
EHGF
b.
HEFG
c.
EFGH
d.
GFEH


Solution:

The quadrilateral ABCD has undergone through reflection in y-axis. The quadrilateral EFGH is the image of quadrilateral ABCD.

So, the figure ABCD figure EFGH


Correct answer : (3)
 10.  
Transformations that are isometries are called
a.
rigid transformations
b.
reflections
c.
rotations
d.
translations


Solution:

The transformations that are isometries are called rigid transformations.
[Definition.]


Correct answer : (1)

*AP and SAT are registered trademarks of the College Board.