Triangle STV is transformed to create the image, triangle UTV.

2 triangles have identical side lengths and measures and are attached at their base. The base of both triangles is side length T V.

Which side in the image corresponds to Side length T V in the pre-image?

Side length U T
Side length V U
Side length T S
Side length T V

Side length T V

Step-by-step explanation:

The picture of the question in the attached figure

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Triangle STV is congruent to Triangle UTV

so

The corresponding sides are

ST and UT

TV and TV

SV and UV

therefore

Side length TV in the image corresponds to side length TV in the pre-image

step-by-step explanation:

the equation of the parabola is y2=12x

explanation:

the vertex is midway between the focus ad the directrix

so, the vertex is (0,0)

let p=(x,y) be a point on the parabola.

the distance of p from the directrix is equal to the distance from the focus.

x+3=√(x−3)2+(y−0)2

(x+3)2=(x−3)2+y2

x2+6x+9=x2−6x+9+y2

y2=12x

graph{y^2=12x [-10, 10, -5, 5]}