Let a = (0, 0), b = (8, 1), c = (5, −5), p = (0, 3), q = (7, 7), and r = (1, 10). prove that angles abc and p qr have the same size.

To prove

∠ABC = ∠PQR

Using euclidean distance, Length of each side can be found as

As can be seen

AB ≅ PQ

BC ≅ QR

CA ≅ RP

As all the sides of ΔABC are equal and congruent to ΔPQR, this Proves that measure of all angles inside both triangles must be equal.

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

a=r

d=q

c=p

b=s

hope this !