In the diagram, figure ABCD is a transformation of figure PMNO.
figure ABCD and figured PMNO
Question
Name the segment which is congruent to line BC.
(1 point)
Responses
line PM
Image with alt text: line PM
line NO
Image with alt text: line NO
line MN
Image with alt text: line MN
line PO
Image with alt text: line PO
What image is the translation of the shown triangle given by the translation rule (x, y) right arrow (x – 3, y + 3)?
The image of the triangle after applying the translation rule (x, y) → (x – 3, y + 3) would be a triangle shifted 3 units to the left and 3 units up from the original position.
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
To find the translation rule, we can subtract the coordinates of R' from the original coordinates of R:
Translation in the x-direction: x - (-11) = x + 11
Translation in the y-direction: y - (-11) = y + 11
So the translation rule is (x, y) → (x + 11, y + 11).
To find the coordinates of U' after translation, we apply the translation rule to the original coordinates of U:
x-coordinate of U': -5 + 11 = 6
y-coordinate of U': 1 + 11 = 12
Therefore, the coordinates of U' after translation are (6, 12).
The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). After translation, R' is the point (–11, –11). Find the translation rule and coordinates of U'.
(1 point)
Responses
(x, y) right arrow (x – 6, y + 6); (–11, 7)
( x, y ) Image with alt text: right arrow ( x – 6, y + 6); (–11, 7)
(x, y) right arrow (x – 6, y – 6); (–11, –5)
( x, y ) Image with alt text: right arrow ( x – 6, y – 6); (–11, –5)
(x, y) right arrow (x + 6, y – 6); (1, –5)
( x, y ) Image with alt text: right arrow ( x + 6, y – 6); (1, –5)
(x, y) right arrow (x + 6, y + 6); (1, 7)
(x, y) right arrow (x + 6, y + 6); (1, 7)
Describe in words the translation represented by the translation rule (x, y) right arrow (x – 7, y – 7)
(1 point)
Responses
7 units to the left and 7 units down
7 units to the left and 7 units down
7 units to the left and 7 units up
7 units to the left and 7 units up
7 units to the right and 7 units up
7 units to the right and 7 units up
7 units to the right and 7 units down
7 units to the left and 7 units down
Sarah was sitting in a seat at a baseball game when another ticket holder showed her she was in the wrong seat. The other ticket holder kindly told Sarah she needed to go 5 rows down and 3 seats to the right. Which rule describes the translation needed to put Sarah in the correct seat?
(1 point)
Responses
(x, y) right arrow (x – 5, y + 3)
( x, y ) Image with alt text: right arrow ( x – 5, y + 3)
(x, y) right arrow (x – 3, y – 5)
( x, y ) Image with alt text: right arrow ( x – 3, y – 5)
(x, y) right arrow (x + 5, y + 3)
( x, y ) Image with alt text: right arrow ( x + 5, y + 3)
(x, y) right arrow (x + 3, y – 5)