Whoever answers this correctly in 3 mins gets
two triangles are shown to be congruent by identifying a combination of translations, rotations, or reflections that move one figure onto the other.
if δcat ≅ δdog, which line segment must be congruent to ct? why?
a) do because the triangles are isosceles.
b) ca because the triangles are isosceles.
c) dg because corresponding parts of congruent triangles are congruent.
d) og because corresponding parts of congruent triangles are congruent.

C) DG because corresponding parts of congruent triangles are congruent

Step-by-step explanation:

CPCTC :- It is a Property of congruent triangles that says that the corresponding parts of congruent triangle are congruent.

Given : ΔCAT ≅ ΔDOG

Then the corresponding parts of both triangle are congruent.

i.e. corresponding sides of both triangle are congruent.

Since CT is corresponding to DG.

Then, CT  is congruent to DG .

Hence, the correct answer is C) DG because corresponding parts of congruent triangles are congruent.

i hope this is what you were looking for.

see attached graph

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)