The figure below shows two triangles on the coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x axis and from positive 6 to negative 6 on the y axis. A triangle ABC is shown with vertex A on ordered pair negative 4, negative 1, vertex B on ordered pair negative 3, negative 1 and vertex C on ordered pair negative 4, negative 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair negative 1, 1, vertex B prime on ordered pair negative 2, 1, and vertex C prime on ordered pair negative 1, 4.

What set of transformations is performed on triangle ABC to form triangle A′B′C′?

A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin

A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up

A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right

A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin

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i'm not really sure how to answer that

step-by-step explanation:

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus