Select the true statement. Dilations of an angle must be congruent to the original angle. Dilations of a triangle must be congruent to the original triangle Dilations of a segment must be congruent to the original segment. Dilations of a circle must be congruent to the original circle.

The true statements is;

Dilations of an angle must be congruent to the original angle

Step-by-step explanation:

Given that an angle is formed by the intersection of two rays, and that the ratio of the sides of a figure, before and after a dilation are the same, for an angle in a triangle we have, by sine rule;

a/(sin(α)) = b/(sin(β)) = c/(sin(γ))

Rearranging, gives;

a/b = (sin(α))/(sin(β))

Whereby for the dilation, we have;

a'/b' = (sin(α'))/(sin(β'))

We  have;

a/b = a'/b'

∴ (sin(α))/(sin(β)) = (sin(α'))/(sin(β'))

Similarly, we have;

(sin(β))/(sin(γ)) = (sin(β'))/(sin(γ'))

(sin(α))/(sin(γ)) = (sin(α'))/(sin(γ'))

Given that α, β, and γ, are less than 180°, we have

α = α'

∴ α ≅ α' by definition of congruency

β = β'

β ≅ β' by definition of congruency

γ = γ'

γ ≅ γ' by definition of congruency

Therefore; dilations of an angle must be congruent to original angle

answer: i don't understand. what are the options

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.