Question

Which glide reflection describes the mapping ABC to DEF?

(x, y) (x + 6, y – 1) and reflected across x = 0


(x, y) (x + 6, y − 1) and reflected across y = 0


(x, y) (x, y + 6) and reflected across y = 0


(x, y) (x + 7, y) and reflected across x = 0

Answer 1

Option (2)

Explanation:

To get the transformation applied in triangle ABC to map triangle DEF we will apply the following rules.

If a point A of triangle ABC maps the point D of triangle DEF,

Coordinates of point A → (-4, -5)

Coordinates of point D → (2, 6)

First point A is shifted to quadrant (4) from quadrant (3),

Rule for the translation,

A(x, y) → A'(x + 6, y - 1)

A(-4, -5) → A'(2, -6)

Followed by reflection across x-axis (y = 0)

A'(x, y) → D(x, -y)

A'(2, -6) → D(2, 6)

Therefore, Option (2) will be the answer.