Question

What will the coordinates of Triangle RST be after it is translated 4units down and 3 units left

Answer 1

To translate Triangle RST 4 units down and 3 units left, subtract 4 from each y-coordinate and 3 from each x-coordinate of the triangle's vertices.

Step-by-step explanation:

When you translate a triangle 4 units down and 3 units left, each vertex (or point) of the triangle will move 4 units in the negative y-direction (down) and 3 units in the negative x-direction (left). To find the new coordinates of the triangle, you subtract 4 from the y-coordinate and 3 from the x-coordinate of each vertex. Here's a step-by-step method to find the new coordinates:

• Determine the original coordinates of Triangle RST.
• Translate each coordinate by moving 4 units down: subtract 4 from the y-coordinate.
• Translate each coordinate by moving 3 units left: subtract 3 from the x-coordinate.

Using the provided locations as a reference:

• If a vertex of Triangle RST was at (0, 0), after translation it would be at (-3, -4).
• If another vertex was at (2.36 × 10−¹° m, 0), it would be at ((2.36 × 10−¹° m) - 3, -4).
• If the third vertex was at (2.36 × 10−¹° m, 2.36 × 10−¹° m), it would be at ((2.36 × 10−¹° m) - 3, (2.36 × 10−¹° m) - 4).

Answer 2

Triangle RST has vertices:

R(-4,2)

S(3,5)

T(-4,-4)

Then, the triangle is moving to the left you subtract the number of units from the x coordinates of each vertex of the triangle.

And the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex. So:

For R'

`(-4-3,2-4)=(-7,-2)`

For S'

`(3-3,5-4)=(0,1)`

For T'

`(-4-3,-4-4)=(-7,-8)`

Answer:

`\begin{gathered} R^(\prime)(-7,-2) \\ S^(\prime)(0,1) \\ T^(\prime)(-7,-8) \end{gathered}`