Question

The triangle on the grid will be translated two units left.

On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5).

Which shows the triangle when it is translated two units left?
On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)

Answer 1

B

Explanation:

Answer 2

Given:

The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).

The figure is translated 2 units left.

To find:

The vertices and the diagram of the triangle after the given translation.

Solution:

if a figure is translated 2 units left, then

`(x,y)\to (x-2,y)`

Using the above rule, we get

`A(-1,-1)\to A'(-1-2,-1)`

`A(-1,-1)\to A'(-3,-1)`

Similarly,

`B(-1,-5)\to B'(-1-2,-5)`

`B(-1,-5)\to B'(-3,-5)`

And,

`C(0.5, -5)\to C'(0.5-2,-5)`

`C(0.5, -5)\to C'(-1.5,-5)`

So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).

Therefore, the correct option is B.