Question

Reflect triangle A in the line y = 1.

Answer 1

Answer:

Step-by-step explanation:

In the figure attached,

Vertices of the triangle ABC are A(-4, 4), B(-1, 4) and (-1, 2)

When we reflect this figure across a line y = 1

Vertices of the image triangle A'B'C' will be

Coordinates of A'

A(-4, 4) → A'[(1 + 5), 4]

            → A'(6, 4)

Coordinates of B'

B(-1, 4) → B'(-1 + 4, 4)

           → B'(3, 4)

Coordinates of C',

C(-1, 2) → C'[(-1 + 4), 2]

           → C'(3, 2)

Graph these points and join them to form the image triangle A'B'C'.

Answer 2

The vertices of the image triangle are A (-4, -2), B (-1, -2) and C (-1, 0)

The vertices of the triangle ABC are given as:

A (-4, 4), B (-1, 4) and C (-1, 2)

Line y = 1 is a horizontal line that passes through the point y = 1

Using a graphing calculator, when reflected across the line y = 1, the vertices of the image triangle would be:

A (-4, -2), B (-1, -2) and C (-1, 0)

See attachment for the image of the triangle

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