3. Diego made the shape on the left, and Elena made the shape on the right. Each shape uses 5 circles
Select all the true statements.
A. The smallest circle in Diego's design is congruent to the smallest circle in Elena's
design.
B. Diego's design is congruent to Elena's design
C. Elena's design is a translation of Diego's design

The two circle designs are missing, so i have attached it.

Options A & B are true.

Step-by-step explanation:

Congruent circles are basically identical. This means that they have the same radius and diameter but different centres.

Now, from the attached image, we see that the smallest circle in diogo's design has diameter of 2 units & radius of 1 unit while the one in Elena's design also has exactly the same measurement. Thus, we can conclude the smallest circle in diogo's design which is the first one is congruent to the smallest circle in the second design for Elena.

So option A is correct.

Looking carefully at both designs, we can observe that one is concentric while the other is eccentric. However, all the similar sized circles have the same radius & diameter. Thus, we can still say that both designs are congruent. So option B is correct.

In transformations, a translation is when all the points in a an object are made to move up or down in a state straight line in that same direction. However, the objects shape and size remains the exactly the same.

In this case, it's not so because the circle changed from concentric circles to eccentric circles. So this option C is not correct.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2