Question

a. apply the sequence of transformations to quadrilateral krwb. draw the result of each transformation on the coordinate grid.

• (x,y)→(x, -y) label as krwb.

krwb (x,y) krwb (x, -y)

• (x,y)→(x + 10,y + 6) label as krwb.

krwb (x, -y) krwb (x+10,y+6)
b. explain how the sequence of transformations for quadrilateral krwb resulted in krwb≅krwb.
mapping algebraic description transformation
krwb→krwb (x,y)→(x, -y)
krwb→krwb (x,y)→(x + 10,y + 6)

Explanation:

Step1: Identify first transformation

Reflection over x - axis flips y - coordinate.

Step2: Identify second transformation

Translation moves figure 10 units right and 6 up.

Step3: Explain congruence

Isometric transformations (reflection, translation) preserve shape and size.

Answer:

a. Perform transformations on each vertex.
b. Reflection and translation are isometric, so $KRWB\cong K''R''W''B''$.