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please help mee
△ABC was transformed using two rigid transformations.


a. Compare all of the corresponding parts (angles and sides) of the image and preimage. Describe the results.


b. Explain why the results are true.


A triangle has six parts (three angles and three sides). Suppose you have two triangles that you want to prove are congruent, but you don't know the rigid transformations that map one triangle to the other.


A a. How do you think you can prove the two triangles are congruent without using rigid transformations?


b. Suppose one of your classmates thinks they can prove the triangles are congruent by proving only two pairs of corresponding parts congruent. How would you respond to this classmate?



Note: Be sure to number your responses for each question, like this: 1a, 1b, 2a, 2b.

please help meeABC was transformed using two rigid transformations a Compare all of the corresponding parts angles and sides of the image and preimage Describe class=

Respuesta :

MrRoyal

The corresponding parts are:

  • <A = <A' = <A"
  • <B = <B' = <B"
  • <C = <C' = <C"
  • AB = A'B' = A"B"
  • AC = A'C' = A"C"
  • BC = B'C' = B"C"

How to compare the sides

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

  • <A = <A' = <A"
  • <B = <B' = <B"
  • <C = <C' = <C"
  • AB = A'B' = A"B"
  • AC = A'C' = A"C"
  • BC = B'C' = B"C"

Why the results are true?

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

How to prove that two triangles are congruent without using rigid transformations?

To do this, we simply make use any of the following congruent theorems:

  • SSS: Side Side Side
  • SAS: Side Angle Side
  • AAS: Angle Angle Side

How to respond to this classmate?

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

  • SSS: Side Side Side
  • SAS: Side Angle Side

Read more about congruent theorems at

https://brainly.com/question/2102943

#SPJ1

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