PL 20 points brainlist and thanks Figure ABCD is transformed to obtain figure A'B'C'D': A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 3, negative 4, B prime at 5, negative 2, C prime at 5, 1, D prime at 3, negative 1. Part A: Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points) Part B: Are the two figures congruent? Explain your answer. (4 points)

Step-by-step explanation:

Part A:

From the given graph it is clear that the coordinates of ABCD are A(-4,4), B(-2,2), C(-2,-1) and D(-4,1).

The vertices of A'B'C'D' are A'(4,1), B'(2,-1), C'(2,-4) and D'(4,-2).

If the graph of ABCD is reflected across the y-axis, then

(x,y)⇆ (-x,y)

Using this rule the vertices of ABCD after reflection across the y-axis are A₁(4,4), B₁(2,2), C₁(2,-1), and D₁(4,1).

If the graph of A₁B₁C₁D₁ is translated 3 units down, then

(x,y)⇆ (x,y-3)

The vertices of ABCD after reflection across the y-axis and translation 3 units down.

A_1(4,4)⇆A'(4,1)

B_2(2,2) ⇆B'(2,-1)

C_1(2,-1) ⇆C'(2,-4)

D_1(4,1)⇆ D'(4,-2)

Therefore the graph of ABCD is reflected across the y-axis and translates 3 units down.

Part B:

Reflection and translation is a rigid transformation. It means the size and shape of the figure remain the same.

Therefore the figures ABCD and A'B'C'D' are congruent.

Part A:

Step-by-step explanation:

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.