A translation is applied to the triangle where A(1, 4) , B(2, -2) , and C(-3, 2). The image is the triangle that has vertices A′(5, 4) , B′(6, -2) , and C′(1, 2).

Answer:

$(x,y) ==>$ $(x + 4,y)$

Step-by-step explanation:

Given

$A = (1,4)\\B = (2,-2)\\C = (-3,2)$

$A' = (5,4)\\B' = (6,-2)\\C' = (1,2)$

From the translation of triangle ABC to A'B'C',

It will be observed that the y coordinates of both triangle remain unchanged.

This implies that triangle ABC is translated on the x coordinates alone.

Considering the x coordinates of A and A', we have:

$1 + k = 5$

Make k the subject

$k = 5 - 1$

$k = 4$

When 4 is added to the x coordinates of B and C, it gives the x coordinates of B' and C'.

Hence, the rule of translation is:

$(x,y) ==>$ $(x + 4,y)$

3 0

3 years ago

Can someone plz help me with all of this: thanks a lot it means a lot to me!:)

Flura [38]

Answer:

Step-by-step explanation:

Prime factorization of the numbers:

330 = 2 × 3 × 5 × 11

75 = 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

LCM(330, 75, 450, 225)

= 2 × 3 × 3 × 5 × 5 × 11

= 4950

GCD(330, 75, 450, 225) = 15

6 0

3 years ago