Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
C. 5x - 2y = 16 is your answer
plug in each point into the equation.
(2, -3)
x = 2, y = -3
5(2) - 2(-3) = 16
10 + 6 = 16
16 = 16 (True)
(4,2)
x = 4, y = 2
5(4) - 2(2) = 16
20 - 4 = 16
16 = 16 (True)
hope this helps
It’s the bottom left answer because the angles are opposite of each other. They are also congruent. I hope this helps!
Christine is “x” and yuri is “y”
y = x - 8