Question

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 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.

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

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

Answer 1

Answer:

option no 3

Step-by-step explanation:

The measure of angle C prime A prime B prime

Answer 2

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 ∠CAB = The measure of ∠C'B'A'

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

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

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

Solution:

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

ΔABC  ≅ ΔA'B'C'

Hence

∠CAB = ∠C'A'B'

∠BCA = ∠B'C'A'

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

option c is correct

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