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

Question

teddypentz teddypentz

04-02-2021
Mathematics

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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

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rt24095 rt24095 · Answer 1 · 2021-02-04T20:18:05+01:00

rt24095 rt24095

04-02-2021

Answer:

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

Step-by-step explanation:

Answer Link

psm22415 psm22415 · Answer 2 · 2022-01-22T03:36:10+01:00

The correct relationship between the measures of the angles of the two triangles is;

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

Given that

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.

We have to determine

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

According to the question

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

Here the triangle ABC is similar A'B'C' are similar triangles.

For similar triangles angles are congruent.

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.

Therefore,

<BAC = <B'A'C'

<ABC = <A'B'C'

<ACB = <A'C'B'

Hence, The correct relationship between the measures of the angles of the two triangles is The measure of angle BCA = The measure of angle C prime A prime B.

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