Question

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C':

10
A
B
0
B
c
Which of the following completes the rule for this translation, (x, y) - (x + 8,_.)? (5 points)
Oy-8
Oy-3
O y + 8
O y + 3

Answer 1

Answer:B.y-3

Explanation:

Answer 2

Complete Question:

The coordinate grid below shows triangle ABC and its image after translation, triangle A'B'C': Triangles ABC and A' B' C' are shown.

`A = (-6, 10)`

`B = (-7, 7).`

`C = (-4, 6).`

`A' = (2, 7).`

`B' = (1, 4).`

`C' = (4, 3).`

Which of the following completes the rule for this translation,

(x, y) → (x + 8, ___)?

Answer:

y - 3

Explanation:

Given

See Complete Question

Required

Complete the rule of translation

Taking A and A' as a point of reference

`A = (-6, 10)` and
`A' = (2, 7).`

By comparing the x coordinates of A and A'

`-6 + k = 2`

Make k the subject

`k = 2 + 6`

`k = 8`

So, the x coordinate is translated by x + 8

Similarly,

By comparing the y coordinates of A and A'

`10 + k = 7`

Make k the subject

`k= 7 - 10`

`k = -3`

So, the y coordinate is translated by y - 3

Hence, the complete translation is: (x + 8, y - 3)