Question

triangle ABC has vertices A(3,1) B(4,5) C(2,3) rotate triangle ABC 90° counterclockwise about the origin and then reflect it across the x-axis​

Answer 1

Using translation concepts, the vertices will be given as follows:

A'(-1,-3), B'(-5,-4), C'(-3,-2).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a 90º counterclockwise rotation about the origin is:

(x,y) -> (-y,x).

Hence:

• A': (3,1) -> (-1,3).

• B': (4,5) -> (-5,4).

• C': (2,3) -> (-3,2).

The rule for a reflection across the x-axis is:

(x,y) -> (x,-y).

Hence:

• A': (-1,3) -> (-1,-3).

• B': (-5,4) -> (-5,-4).

• C': (-3,-2) -> (-3,-2).

The vertices are:

A'(-1,-3), B'(-5,-4), C'(-3,-2).

More can be learned about translation concepts at https://brainly.com/question/4521517

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