The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ i

Question

2 months ago

7

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ i

s a_____ followed by a______
first blank could be
A.reflection across the y-axis
B. 90 degree counterclockwise rotation around point A
C. 90 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

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-03-16T22:41:28+03:00

zzz [12.3K]2 months ago

6 0

First blank.

B. 90 degree counterclockwise rotation around point A

Second blank.

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

Svet_ta [12.7K] · Answer 2 · 2026-03-16T22:38:25+03:00

Initial transformation.

Quadrilateral ABCD has vertices located at:

A(15,10);
B(15,20);
C(20,15);
D(20,5).

Perform a 90° counterclockwise rotation about point A on the 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. Reflection across the y-axis follows the 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 downward translation of 20 units uses the 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).

Response: The first blank -B, the second blank - B.