Question 1

Question

A)
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.

This image could be used to help create a definition for which of the following?

(1 point)
Responses

dilation
dilation

reflection
reflection

rotation
rotation

translation
translation
Question 2
A)Which rigid transformation could be defined as a turn around a center point determined by an angle measured in degrees?(1 point)
Responses

a rotation
a rotation

a dilation
a dilation

a reflection
a reflection

a translation
a translation
Question 3
A)Which graph demonstrates a transformation that preserves both distance and angle measure?(1 point)
Responses

Two equivalent triangles are plotted on a coordinate plane, one in quadrant 1 and one that starts in quadrant 2 and crosses into quadrant 1. The x-axis ranges from negative 4 to 7 in increments of 1, and the y-axis ranges from 0 to 7 in increments of 1. A line connects a vertex of the triangle in quadrant 2 to the matching vertex of the triangle in quadrant 1.
Image with alt text: Two equivalent triangles are plotted on a coordinate plane, one in quadrant 1 and one that starts in quadrant 2 and crosses into quadrant 1. The x-axis ranges from negative 4 to 7 in increments of 1, and the y-axis ranges from 0 to 7 in increments of 1. A line connects a vertex of the triangle in quadrant 2 to the matching vertex of the triangle in quadrant 1.

Two triangles of different sizes are plotted on a coordinate plane. The x-axis ranges from negative 4 to 8 in increments of 1, and the y-axis ranges from negative 4 to 10 in increments of 1.The larger triangle is plotted around the origin and extends into all four quadrants, and the smaller triangle extends between quadrants 1 and 2.
Image with alt text: Two triangles of different sizes are plotted on a coordinate plane. The x-axis ranges from negative 4 to 8 in increments of 1, and the y-axis ranges from negative 4 to 10 in increments of 1.The larger triangle is plotted around the origin and extends into all four quadrants, and the smaller triangle extends between quadrants 1 and 2.

Two rectangles, a smaller one inside a larger one, are plotted around the origin on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 3 to 5 in increments of 1.
Image with alt text: Two rectangles, a smaller one inside a larger one, are plotted around the origin on a coordinate plane. The x-axis ranges from negative 3 to 3 in increments of 1. The y-axis ranges from negative 3 to 5 in increments of 1.

Two squares, a smaller one inside a larger one, are plotted in quadrant 1 of a coordinate plane. The smaller square shares a vertex and two of its sides with parts of two sides of the larger square. The x- and y-axis both range from 0 to 8 in increments of 1.
Image with alt text: Two squares, a smaller one inside a larger one, are plotted in quadrant 1 of a coordinate plane. The smaller square shares a vertex and two of its sides with parts of two sides of the larger square. The x- and y-axis both range from 0 to 8 in increments of 1.
Question 4
A)△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

EF¯¯¯¯¯¯¯¯≅XZ¯¯¯¯¯¯¯¯
Modifying above upper E upper F with bar congruent to Modifying above upper X upper Z with bar

∠E≅∠X
angle upper E congruent to angle upper X

EG¯¯¯¯¯¯¯¯≅XY¯¯¯¯¯¯¯¯
Modifying above upper E upper G with bar congruent to Modifying above upper X upper Y with bar
Question 5
A)Talia is playing with a plastic hoop that she spins around her waist. The spinning hoop resembles a(1 point)
Responses

translation.
translation.

dilation.
dilation.

rotation.

Answer 1

Here are the answers to your questions based on your descriptions:

Question 1: The image depicts a scene with mirror images of mountains in the water, which suggests a symmetry. This can be used to define reflection.
Response: reflection

Question 2: A rigid transformation defined as a turn around a center point is known as a rotation.
Response: a rotation

Question 3: Transformations that preserve both distance and angle measure are rigid transformations, which include reflections, rotations, and translations. Based on the descriptions, we need to identify the one that fits. The first graph describes two equivalent triangles which indicates a rigid transformation, mostly suggestive of a reflection or translation. The only candidates that can preserve distance and angle measures in a straightforward manner are potentially the first or last options, depending on their behavior. Since I don't have the visual, I can't definitively point it out, but based on the descriptions, Two equivalent triangles would likely be the correct choice.
Response: (This should be clarified based on the specific graph.)

Question 4: After a rotation of -90 degrees (clockwise) from ΔEFG to ΔXYZ, the angles and sides should correspond accordingly due to the nature of rigid transformations.
The statement that must be true is: ∠E≅∠X (as it indicates the corresponding angles are preserved).
Response: ∠E≅∠X

Question 5: Talia spinning a plastic hoop around her waist resembles a rotation.
Response: rotation

Feel free to let me know if you need further clarification or assistance!