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Translate Square Vertices 4 Left and 1 Up Coordinate Plane
Published on March 11, 2026
Geometry
Determine the new coordinates of the vertices S, T, U, and V after applying a translation of 4 units left and 1 unit up to the figure on the coordinate grid. This involves subtracting 4 from each x-coordinate and adding 1 to each y-coordinate.
Question
Answer
Here is the step-by-step solution to find the coordinates of the vertices after the translation.
1. Determine the original coordinates of the vertices (S, T, U, V).
By observing the graph:
- Point S is at
and . So, . - Point T is at
and . So, . - Point U is at
and . So, . - Point V is at
and . So, .
2. Define the translation rule.
The required translation is 4 units left and 1 unit up.
- Moving 4 units left means subtracting 4 from the
-coordinate: . - Moving 1 unit up means adding 1 to the
-coordinate: .
The general translation rule is
3. Apply the translation rule to each vertex.
-
For S
: -
For T
: -
For U
: -
For V
:
4. State the final coordinates.
The coordinates of the vertices after the translation are:
The required answers are: