The image described, with mirror images of the mountains seen in the water, can be used to help create a definition for reflection.
Use the image to answer the question.
Beneath a cloudy sky, a large body of water is shown with mountains on either side and in the distance. Mirror images of the mountains can be seen in the water. Several trees line the water bank.
Source: Joe Dunckley/Shutterstock
This image could be used to help create a definition for which of the following?
(1 point)
Responses
translation
translation
rotation
rotation
reflection
reflection
dilation
7 answers
Which rigid transformation could be defined as a turn around a center point determined by an angle measured in degrees?(1 point)
Responses
a dilation
a dilation
a reflection
a reflection
a rotation
a rotation
a translation
Responses
a dilation
a dilation
a reflection
a reflection
a rotation
a rotation
a translation
The rigid transformation defined as a turn around a center point determined by an angle measured in degrees is a rotation.
△EFG is rotated −90 degrees (clockwise) to create △XYZ . Which of the following statements must be true?(1 point)
Responses
∠F≅∠Z
angle upper F congruent to angle upper Z
∠E≅∠X
angle upper E congruent to angle upper X
EF¯¯¯¯¯¯¯¯≅XZ¯¯¯¯¯¯¯¯
Modifying above upper E upper F with bar congruent to Modifying above upper X upper Z with bar
EG¯¯¯¯¯¯¯¯≅XY¯¯¯¯¯¯¯¯
Modifying above upper E upper G with bar congruent to Modifying above upper X upper Y with bar
Responses
∠F≅∠Z
angle upper F congruent to angle upper Z
∠E≅∠X
angle upper E congruent to angle upper X
EF¯¯¯¯¯¯¯¯≅XZ¯¯¯¯¯¯¯¯
Modifying above upper E upper F with bar congruent to Modifying above upper X upper Z with bar
EG¯¯¯¯¯¯¯¯≅XY¯¯¯¯¯¯¯¯
Modifying above upper E upper G with bar congruent to Modifying above upper X upper Y with bar
When △EFG is rotated −90 degrees (clockwise) to create △XYZ, the corresponding angles and sides remain congruent due to the properties of rigid transformations. Therefore, the following statements must be true:
- ∠E≅∠X (angle upper E congruent to angle upper X)
So the correct answer is:
∠E≅∠X.
Talia is playing with a plastic hoop that she spins around her waist. The spinning hoop resembles a(1 point)
Responses
rotation.
rotation.
translation.
translation.
dilation.
dilation.
reflection.
Responses
rotation.
rotation.
translation.
translation.
dilation.
dilation.
reflection.
The spinning hoop that Talia is playing with around her waist resembles a rotation.