Question

Triangle TRS is rotated about point X, resulting in triangle BAC. Triangle T R S is rotated about point X to form triangle B A C. The lengths of sides T R and A B are congruent, the lengths of sides A C and R S are congruent, and the lengths of sides T S and B C are congruent. If AB = 10 ft, AC = 14 ft, and BC = 20 ft, what is RS? 10 ft 14 ft 20 ft 24 ft

Answer 1

Answer:

RS = 14 ft

Explanation:

Rotation is a type of transformation that changes the orientation of a given shape or figure without any effects to its dimensions.

Thus, rotating ΔTRS about point X would not change the value of its sides to produce ΔBAC. So that;

  /AB/ = /TR/

  /AC/ = /RS/

  /BC/ = /TS/

The two given triangles are congruent and they have the same values of sides.

Therefore,

  /AC/ = /RS/ = 14 feet

Thus, /RS/ = 14 ft

Answer 2

The length of side length RS 14 ft

What is rotation?

Rotation involves moving a shape in a circular motion about a fixed point i.e. when a shape is rotated, it must be rotated about a point.

The given parameters are:

• $\triangle TSR \cong BAC$ --- triangles TSR and BAC are congruent.
• Side lengths TR and AB are congruent
• Side lengths AC and RS are congruent
• Side lengths TS and BC are congruent.

Given that:

$AC = 14$

And we have:

$RS = AC$

Substitute 14 for AC in the above equation

$RS = 14$

Hence, the length of RS 14 ft

Read more about rotation at:

https://brainly.com/question/5245489