Determine if the two figures are congruent and explain your answer using transformations

I am not sure what the exact answer is because you have not provided any graphs. But I can tell you how to figure this out.

Congruent: Two polygons are congruent if they are the same size and shape, if their corresponding angles and sides are equal. To prove that using transformations

There are three types of transformations.

1.  Rotation (Turn): Turns a figure around a fixed point.  

2. Reflection (Flip): Flip of figure over a line where a mirror image is created.

3. Translation (Slide or glide): Sliding a shape to a new place without changing the figure.

Rotations, reflections, and translations are isometric. If the size and shape of the figure is not changed, then the figures are congruent.

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(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

0.038

step-by-step explanation: