The vertices of ∆abc are a(−4,2),b(6,6),c(2,7). a translation maps point a to point a'(6,−3). if b and c are mapped by the same translation, what are the coordinates of b' and c'?

Part a) The coordinates of B' are (16,1)

Part b) The coordinates of C' are (12,2)

Step-by-step explanation:

we know that

The vertices of ∆ABC are A(−4,2),B(6,6),C(2,7)

A translation maps point A to point A'(6,−3)

so

A(−4,2) > A'(6,−3)

The rule of the translation is

(x,y) > (x+a, y+b)

(−4,2)> (−4+a,2+b)

(−4+a,2+b)=(6,−3)

Solve for a

-4+a=6 > a=6+4=10

Solve for b

2+b=-3 > b=-3-2=-5

The rule of the translation  is

(x,y) > (x+10, y-5)

That means > The translation is 10 units at right and 5 units down

Find the coordinates of point B'

Applying the rule of the translation

B(6,6) > B'(6+10,6-5)

B(6,6) > B'(16,1)

therefore

The coordinates of B' are (16,1)

Find the coordinates of point C'

Applying the rule of the translation

C(2,7) > C'(2+10,7-5)

C(2,7) > C'(12,2)

therefore

The coordinates of C' are (12,2)

3201

step-by-step explanation:

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer