Question

△ABC is reflected to form ​​ ​ △A'B'C' ​.

The coordinates of point A are (−4,−3) , the coordinates of point B are ​ (−7,1) ​, and the coordinates of point C are ​ (−1,−1) ​.

Which reflection results in the transformation of ​ △ABC ​​ to ​ △A'B'C' ​​?

A.reflection across the x-axis.

B.reflection across the y-axis

C.reflection across y = x.

D.reflection across y=−x .

Answer 1

A

Explanation:

i took the test

Answer 2

Option A is correct

reflection across the x-axis

Explanation:

The rule for reflection across x-axis is given by:

`(x, y) \rightarrow (x, -y)`

As per the statement:

The coordinate of triangle ABC are:

A(−4,−3) , B(−7,1) ​and C(−1,−1).

The coordinate of triangle A'B'C' are:

From the given diagram we have;

A'(-4, 3), B'(-7, -1) and C'(-1, 1)

Apply the rule of reflection across x-axis on ABC we have;

`A(-4, -3) \rightarrow (-4, -(-3))=(-4, 3)=A'`

`B(-7,1) \rightarrow (-7, -1)=B'`

`C(-1,-1) \rightarrow (-1, -(-1))=(-1, 1)=C'`

Therefore, the reflection results in the transformation of ​ △ABC ​​ to ​ △A'B'C' is, reflection across the x-axis