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The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a_____ followed by a______


first blank could be

A.reflection across the y-axis

B90 degree counterclockwise rotation around point A
C90 degree clockwise rotation around point A

D.90 degree counterclockwise rotation around point B


second blank could be

A.clockwise rotation about point B and a translation 20 units down

B.reflection across the y axis and a translation 20 units down

C.reflection across the x axis and a translation 15 units down

D.reflection across the y axis and a translation 25 units down

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a followed by a first blank co class=

Verified Answer :

frika

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.

bandzlvr

Blank 1.

B. 90 degree counterclockwise rotation around point A

Blank 2.

B.reflection across the y axis and a translation 20 units down

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