Question

1. if a rectangle with vertices (2,3), (2,5), (4,3), (4,5) is translated 3 units to the right and 2 units up, what are the new coordinates of the top-left vertex?

a. (5,5)
b. (5,7)
c. (3,5)
d. (4,5)

Explanation:

Step1: Identify top-left vertex

Original top-left vertex: $(2, 5)$

Step2: Apply horizontal translation

Add 3 to x-coordinate: $2 + 3 = 5$

Step3: Apply vertical translation

Add 2 to y-coordinate: $5 + 2 = 7$

Step4: Combine new coordinates

New coordinates: $(5, 7)$

Answer:

b. (5,7)