Tmcarth
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HELP ASAP PLSSSS

(i am putting image of grid below)
Triangle ABC is transformed to Triangle A′B′C′, as shown below:

A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 3, 4, B at ordered pair negative 4, 2, C at ordered pair negative 1, 1. A triangle A prime B prime C prime has A prime at ordered pair 3, 4, B prime at ordered pair 4, 2, C prime at ordered pair 1, 1.

Which equation shows the correct relationship between the measures of the angles of the two triangles?

The measure of angle ABC = The measure of angle A prime B prime C prime

The measure of angle ABC = The measure of angle B prime C prime A

The measure of angle BCA = The measure of angle A prime B prime C prime

The measure of angle BCA = The measure of angle C prime A prime B prime

HELP ASAP PLSSSS i am putting image of grid below Triangle ABC is transformed to Triangle ABC as shown below A coordinate grid is shown from negative 4 to 0 to class=

Respuesta :

mhanifa

Answer:

  • Option A

Step-by-step explanation:

According to the drawing, ΔA'B'C' is the reflection of ΔABC over the y-axis.

The angles at corresponding vertices are congruent:

  • ∠A ≅ ∠A', ∠B ≅ ∠B', ∠C ≅ ∠C'

The answer choices translate as

A) The measure of angle ABC = The measure of angle A'B'C', same as

  • ∠B ≅ ∠B', correct

B) The measure of angle ABC = The measure of angle B'C'A', same as

  • ∠B ≅ ∠C', incorrect

C) The measure of angle BCA = The measure of angle A'B'C', same as

  • ∠C ≅ ∠B', incorrect

D) The measure of angle BCA = The measure of angle C'A'B', same as

  • ∠C ≅ ∠A', incorrect

Given that

ABC is translated to A'B'C'

So

Both triangles are similar

∆ABC=∆A'B'C'

  • <A=<A'
  • <B=<B'
  • <C=<C'

Option A