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

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

Step-by-step 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)

Answer 2

Answer:B.y-3

Step-by-step explanation: