Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex X. What is the second transformation?

a reflection across the line containing AB
a reflection across the line containing AC
a rotation about point A
a rotation about point B

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wagonbelleville wagonbelleville · Answer 1 · 2019-02-13T08:50:42+01:00

Answer:

A. a reflection across the line containing AB

Step-by-step explanation:

We are given that,

There are two triangles ΔABC and ΔXYZ mapped onto each other.

It is given that, the the vertex A is shifted to the vertex X initially.

Now, we can see that,

To map ΔABC to ΔXYZ, the triangle ABC is reflected about the line AB.

Hence, option A i.e. a reflection across the line containing AB is correct.

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aksnkj aksnkj · Answer 2 · 2021-10-12T17:11:23+02:00

Answer:

A. a reflection across the line containing AB

Step-by-step explanation:

Two triangles can be mapped to each other only if they are similar.

So we are assuming similarity of the triangles.

First we translate vertex A to vertex X

Second, we rotate AC to XZ (or now AZ) , with an angle measure equal to that of angle CXZ

Third we dilute the larger to the smaller so that they match.

Now, we can see that,

To map ΔABC to ΔXYZ, the triangle ABC is reflected about the line AB.

Hence, option A i.e. a reflection across the line containing AB is correct.

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