Question

Triangle ABC is transformed to triangle A′B′C′, as shown below:

Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)

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

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

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

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

Answer 1

Given : Triangle ABC is transformed to triangle A′B′C′

To Find : Which equation shows the correct relationship between the measures of the angles of the two triangles

a  The measure of ∠ABC = The measure of ∠A'B'C'

b  The measure of ∠ABC = The measure of ∠B'C'A '

c  The measure of ∠BCA = The measure of ∠A 'B 'C '

d  The measure of ∠BCA = The measure of ∠C 'A 'B '

Step-by-step explanation:

Triangle ABC is transformed to triangle A′B′C′,

ΔABC  ≅ ΔA'B'C'

Hence

∠ABC = ∠A'B'C'

∠BCA = ∠B'C'A '

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

The measure of ∠ABC = The measure of ∠A'B'C'

option a is correct

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Answer 2

Answer:

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