The interior angles of △abc measure 34°, 50°, and x°. the interior angles of △def measure y°, 50°, and 96°.

which statement is true?

the triangles are not similar because y≠34 .
the triangles are not similar because x≠y .
the triangles are similar because they each have an interior angle that measures 50°.
the triangles are similar because y=34 and there are three pairs of congruent angles.

The triangles are similar because y=34 and there are three pairs of congruent angles.

Step-by-step explanation:

For triangle ABC, let's start by finding the value of X...

The sum of the interior angles of a triangle sum up to 180 degrees, so...

X = 180 - 34 - 50 = 96 degrees

Angles for ABC are then: 34°, 50° and 96°.

For triangle DEF, let's find y° the same way:

Y = 180 - 50 - 96 = 34 degrees.

Angles for DEF are then: 34°, 50° and 96°

The angles are the same, in the same order... so both triangles are similar.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction