Question

Which sequence of transformations will map figure K onto figure K′? Two congruent kites, figure K and figure K prime, are drawn on a coordinate grid. Figure K has vertices at 4, 3, at 6, 5, at 4, 8, and at 2, 5. Figure K prime has vertices at 4, negative 8, at 6, negative 5, at 4, negative 3, and at 2, negative 5 Reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y) Reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y) Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y) Reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)

Answer 1

Answer:

The sequence of transformations will map figure K onto figure K′

is the first sequence option (1)

======================================================

Step-by-step explanation:

See the attached figure

as shown in the figure the K' is the image of K by reflection over x-axis

But We need to know which sequence of transformations will give the same result.

So, we will test the options by any point from K and its image from K'

i.e: we will test the options using the points (6,5) , (6,-5)

(6,5) ⇒ (6,-5)

option (1):

Reflection across x = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (6,-5)

option (2):

Reflection across x = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (2,5) ⇒(-2,-5) ⇒ (-10,-5)

option (3):

Reflection across y = 4, 180° rotation about the origin, and a translation of (x + 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (2,-3)

option (4):

Reflection across y = 4, 180° rotation about the origin, and a translation of (x − 8, y)

(6,5) ⇒ (6,3) ⇒ (-6,-3) ⇒ (-14,-3)

As shown: The sequence of transformations will map figure K onto figure K′

is the first sequence option (1)

Answer 2

Answer:

The sequence of transformations will map figure K onto figure K′

Step-by-step explanation: