Transformations on a grid

Question 1

On a coordinate grid, point P is at (4, 2). What are the coordinates of the point P′ after reflecting P across the horizontal line y = ‑1?

Accepted Answer

(4, -4)

Answer

(4, 0)

Answer

(-4, 2)

Answer

(4, 5)

Question 2

On graph paper Sam draws a four‑corner shape with vertices at A(2, 3), B(5, 1), C(6, 4) and D(3, 6). He then reflects the whole shape across the diagonal line y = ‑x. What are the coordinates of the reflected vertices A′, B′, C′, D′ in that same order?

Accepted Answer

A′(‑3,‑2), B′(‑1,‑5), C′(‑4,‑6), D′(‑6,‑3)

Answer

A′(3,2), B′(1,5), C′(4,6), D′(6,3)

Answer

A′(‑2,‑3), B′(‑5,‑1), C′(‑6,‑4), D′(‑3,‑6)

Answer

A′(3,‑2), B′(1,‑5), C′(4,‑6), D′(6,‑3)

Question 3

A triangle has vertices at (2, 5), (4, 2), and (5, 6). It is reflected across the vertical line x = 4. What is the coordinate of the image of the point (2, 5)?

Accepted Answer

(6, 5)

Answer

(2, 5)

Answer

(6, 9)

Answer

(0, 5)

Try three questions

On a coordinate grid, point P is at (4, 2). What are the coordinates of the point P′ after reflecting P across the horizontal line y = ‑1?

On graph paper Sam draws a four‑corner shape with vertices at A(2, 3), B(5, 1), C(6, 4) and D(3, 6). He then reflects the whole shape across the diagonal line y = ‑x. What are the coordinates of the reflected vertices A′, B′, C′, D′ in that same order?

A triangle has vertices at (2, 5), (4, 2), and (5, 6). It is reflected across the vertical line x = 4. What is the coordinate of the image of the point (2, 5)?

Keep going on this shelf