What image is the translation of the shown triangle given by the translation rule (x, y) --> (x – 3, y + 3)?
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1 point
Captionless Image
C
B
A
D
What translation rule can be used to describe the result of the composition of (x, y) --> (x – 9, y – 2) and (x, y) --> (x + 1, y – 2)?
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1 point
(x, y) --> (x + 8, y – 4)
(x, y) --> (x – 10, y + 0)
(x, y) --> (x – 8, y – 4)
(x, y) --> (x – 4, y – 8)
Which type of symmetry is shown by the lowercase letter w?
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1 point
reflectional symmetry
point symmetry
no symmetry
rotational symmetry
How many lines of symmetry are there in a regular decagon?
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1 point
20
5
0
10
The image of a button is 5 times the button’s actual size and has a diameter of 6 cm. Which is the actual dimension of the button?
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1 point
5/6 cm
25 cm
30 cm
6/5 cm
A segment has endpoints M(6, 15) and N(-3, 9). The image of the segment, for a dilation with center (0, 0), has endpoints M'(2, 5) and N'(-1, 3). Which is the scale factor of the dilation?
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1 point
1/2
3
1/3
2
The right figure is an isometry of the left figure. Tell whether their orientations are the same or opposite. Then classify the isometry.
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1 point
Captionless Image
opposite orientation; translation
same orientation; rotation
same orientation; glide reflection
opposite orientation; reflection
The image is given by the translation rule (x, y) --> (x – 3, y + 3).
To find the new coordinates of the triangle, we subtract 3 from the x-coordinate and add 3 to the y-coordinate.
So, the new coordinates are:
A: (5, 2) --> A': (2, 5)
B: (8, 2) --> B': (5, 5)
C: (8, 5) --> C': (5, 8)
Therefore, the image of the triangle is as follows:
A'
C' B'