Question

Which statements are true regarding the transformation triangle SRQ undergoes a ridgid transformation that results in triangle VUT?

Answer 1

Answer:

Angle R corresponds to Angle U.

UV corresponds to RS.

Step-by-step explanation:

The complete question is

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

Verify each statement

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