5) A (1,2) B (2,4)
slope. (1-2)=2-4
slope. -1= -2
slope = 2
6) D (-5,1) E ( -2,0)
slope. (-5-(-2))=1-0
slope. (-5+2)=1
slope. -3=1
slope = -1/3
7) C (-3,4) E (-2,0)
slope. (-3-(-2))=4-0
slope. (-3+2)=4
slope. -1=4
slope = -4
8) D (-5,1) B (2,4)
slope. (-5-2)=1-4
slope. (-7)= -3
slope = 3/7
Step-by-step explanation:
I'll do the first problem as an example.
∠P and ∠H both have one mark. That means they're congruent.
∠T and ∠G both have two marks. So they're congruent.
∠W and ∠D both have three marks. So they're congruent.
So we can write a congruence statement:
ΔPTW ≅ ΔHGD
We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.). For example:
ΔWPT ≅ ΔDHG
ΔTWP ≅ ΔGDH
The answer is (3,1), hope that helps