Question

A polygon has vertices at (-5, 3), (-1, 3), (1, 0), and (-3, 0). Which represents a geometric translation of the given

polygon 4 units to the right and 5 units down?
O
O
O
-5
1
-5 -1 1-3
3300
3-1
0 -3 0
-5 -1
لیا
3
-5-1 1-3
4
4 4
3 3 00 -5 -5 -5
P
3 0
+
-3
4
n
+
HG
4
-5 -5
4 4 4 4
55 55
-4
-5 -5
4
ņ
4
5
+ "
K

Answer 1

To translate a polygon 4 units to the right and 5 units down, you need to add 4 to the x-coordinates and subtract 5 from the y-coordinates of each vertex. Applying this translation to the given polygon:

Original polygon vertices:

(-5, 3), (-1, 3), (1, 0), (-3, 0)

Translated polygon vertices:

(-5 + 4, 3 - 5), (-1 + 4, 3 - 5), (1 + 4, 0 - 5), (-3 + 4, 0 - 5)

Simplifying the coordinates:

(-1, -2), (3, -2), (5, -5), (1, -5)

So, the translated polygon with a geometric translation of 4 units to the right and 5 units down is formed by the vertices (-1, -2), (3, -2), (5, -5), and (1, -5).