Question

The sequence of transformations that can be

performed on quadrilateral ABCD to show
that it is congruent to quadrilateral GHIJ is
followed by a-

Answer 1

First transformation.

Duadrilateral ABCD has vertices with such coordinates:

A(15,10);

B(15,20);

C(20,15);

D(20,5).

Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then

A(15,10)→A'(15,10);

B(15,20)→B'(5,10);

C(20,15)→C'(10,15);

D(20,5)→D'(20,15).

Second transformation.

1. A reflection across the y axis has a rule:

(x,y)→(-x,y).

Then

A'(15,10)→A''(-15,10);

B'(5,10)→B''(-5,10);

C'(10,15)→C''(-10,15);

D'(20,15)→D''(-20,15).

2. A translation 20 units down has a rule:

(x,y)→(x,y-20).

Then

A''(-15,10)→G(-15,-10);

B''(-5,10)→H(-5,-10);

C''(-10,15)→I(-10,-5);

D''(-20,15)→J(-20,-5).

Answer: first blank -B, second blank - B.