Question
The vertices of a trapezoid are shown below.
P(0, 0), Q(2, 0), R(2, 5), S(0, 10)
This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?
A.
(5, 0)
B.
(6, 0)
C.
(6, 3)
D.
(5, 3)
P(0, 0), Q(2, 0), R(2, 5), S(0, 10)
This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?
A.
(5, 0)
B.
(6, 0)
C.
(6, 3)
D.
(5, 3)
Answers
GPT-4o mini
To find the new location of point \( Q \) after a dilation about the origin by a scale factor of 3, we will multiply the coordinates of point \( Q \) by the scale factor.
The original coordinates of point \( Q \) are \( (2, 0) \).
Using the scale factor of 3, we calculate the new coordinates as follows:
\[
Q' = (3 \times 2, 3 \times 0) = (6, 0)
\]
Thus, the new location of point \( Q' \) is \( (6, 0) \).
The correct answer is:
**B. (6, 0)**
The original coordinates of point \( Q \) are \( (2, 0) \).
Using the scale factor of 3, we calculate the new coordinates as follows:
\[
Q' = (3 \times 2, 3 \times 0) = (6, 0)
\]
Thus, the new location of point \( Q' \) is \( (6, 0) \).
The correct answer is:
**B. (6, 0)**