
Understanding Translation in Geometry
Authored by Samlan Mat
Mathematics
Professional Development

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the translation rule for moving a point (x, y) to (x+3, y-2)?
The translation rule is: (x, y) -> (x+3, y-2)
(x, y) -> (x-2, y-3)
(x, y) -> (x+2, y+3)
(x, y) -> (x-3, y+2)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Translate the triangle with vertices A(1, 2), B(3, 4), and C(5, 1) using the rule (x, y) -> (x-1, y+2). What are the new coordinates?
A'(1, 2), B'(3, 4), C'(5, 1)
A'(0, 4), B'(2, 6), C'(4, 3)
A'(1, 5), B'(3, 6), C'(5, 3)
A'(0, 2), B'(2, 4), C'(4, 1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Graph the translated shape of a square with vertices (0,0), (0,1), (1,1), and (1,0) after applying the translation (x, y) -> (x+2, y-3).
(1,-1), (1,0), (2,0), (2,-1)
(2,1), (2,2), (3,2), (3,1)
(0,-3), (0,-2), (1,-2), (1,-3)
The new vertices of the translated square are (2,-3), (2,-2), (3,-2), and (3,-3).
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a rectangle is translated 4 units to the right and 2 units down, what are the new coordinates of the vertex originally at (2, 3)?
(4, 5)
(6, 1)
(2, 1)
(6, 3)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Describe how to translate a circle centered at (0, 0) with a radius of 5 to a new center at (3, 4).
The new center of the circle is (3, 4) with a radius of 10.
The new center of the circle is (0, 0) with a radius of 5.
The new center of the circle is (3, 0) with a radius of 10.
The new center of the circle is (3, 4) with a radius of 5.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the effect of translating a geometric figure on its area and perimeter?
The area and perimeter of a geometric figure remain unchanged when it is translated.
The area and perimeter both change based on the direction of translation.
The area decreases and the perimeter increases.
The area increases while the perimeter remains the same.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given the points P(2, 3) and Q(4, 5), apply the translation (x, y) -> (x+1, y-1) and find the new coordinates of P and Q.
P' = (1, 4), Q' = (3, 6)
P' = (3, 2), Q' = (5, 4)
P' = (3, 4), Q' = (5, 6)
P' = (2, 3), Q' = (4, 5)
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