Draw the line of reflection that reflects △abc onto triangle δ a'b'c'

 Line of reflection is y = 2 x + 2

Step-by-step explanation:

By the given diagram,

A≡(2,1) A'≡(-2,3), B≡(5,2) and B'≡(-3,6),

Since, the midpoint of the corresponding vertices of a figure and its reflected figure must lie on the line of reflection.

Here, Δ ABC is reflected onto triangle Δ A'B'C' through this line,

Let, P is the mid point of AA'

⇒

Similarly, Q is the mid point of BB'

⇒

Thus, by the above statement,

P and Q are lie on the line of the reflection,

Thus, the equation of the line of reflection,

⇒

⇒

⇒

Which is the required line of reflection.

24 units

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)