Answer:
Angle R corresponds to Angle U.
UV corresponds to RS.
Step-by-step explanation:
<u><em>The complete question is</em></u>
Triangle SRQ undergoes a rigid transformation that results in triangle VUT. 2 right triangles with identical side lengths and angle measures are shown. The second triangle is shifted up and to the right.
Which statements are true regarding the transformation? Select two options.
SQ corresponds to VU.
Angle R corresponds to Angle U.
UV corresponds to RS.
Angle S corresponds to Angle T.
QS corresponds to RS
we know that
A translation is a rigid transformation that produce congruent figures
Remember that
If two figures are congruent, then its corresponding angles and its corresponding sides are congruent
In this problem
Triangle SRQ and Triangle VUT are congruent
so
Corresponding sides
SR≅VU
RQ≅UT
SQ≅VT
Corresponding angles
∠S≅∠V
∠R≅∠U
∠Q≅∠T
therefore
<u><em>Verify each statement</em></u>
case 1) SQ corresponds to VU.
The statement is false
Because
SQ correspond to VT
case 2) Angle R corresponds to Angle U.
The statement is true (see the explanation)
case 3) UV corresponds to RS.
The statement is true (see the explanation)
case 4) Angle S corresponds to Angle T
The statement is false
Because, Angle S correspond to Angle V
case 5) QS corresponds to RS
The statement is false
Because
QS correspond to TV
