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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?

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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Respuesta :

goodnorpin goodnorpin · Answer 1 · 2017-09-14T19:14:02+02:00

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

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danielarbrot danielarbrot · Answer 2 · 2019-08-02T01:32:15+02:00

Hello there,

The statement says “Triangle ABC is transformed to triangle A′B′C′”, that means:

1) A and A’ are homologous points.

2) B and B’ are homologous points.

3) C and C’ are homologous points.

Considering this, it’s going to be the same with the sides and the angles. So:

1) AB is homologous to A’B’.

2) AC is homologous to A’C’.

3) CB is homologous to C’B’.

4) ABC is homologous to A’B’C’.

5) BCA is homologous to B’C’A’.

6) CAB is homologous to C’A’B’.

If the transformation is a translation, a rotation or a reflection the homologous sides and the homologous angles measure the same.

So, the correct answer is:

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

Kind regards,

Daniela