Question

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 _______



1.

A.Reflection across the y axis

B.90 degree counter clockwise rotation about point A

C.90 degree clockwise rotation about point A

D. 90 degree counter clockwise rotation about point B




2.

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

Plz respond quick

Answer 1

Answer:

1).

A. Reflection across the y axis.

2).

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

Answer 2

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a B. 90 degree counter

clockwise rotation about point A  followed by a B. Reflection across the y-

axis and a translation 20 units down

Reasons:

• Rotation 90° counterclockwise about the point A

The coordinates of the point (x, y) following a rotation of 90°

counterclockwise is the point (-y, x)

Taking point A as the origin

The coordinates of point A = (15, 10)

Coordinates of the points B, relative to the point A = (0, 10)

Coordinates of the points C, relative to the point A = (5, 5)

Coordinates of the points D, relative to the point A = (5, -5)

The location of the image of point B, following a rotation about the point A, is therefore;

B'(-10 + 15, 0 + 10) = B'(5, 10), C'(-5 + 15, 5 + 10) = C'(10, 15), D'(5 + 15, 5 + 10) = D'(20, 15)

• Reflection across the y-axis

The coordinates of the image of the point (x, y), following a reflection

across the y-axis is the point (-x, y). The coordinates of the parallelogram

A'B'C'D' following a reflection across the y-axis are the point B''(-5, 10),

C''(-10, 15), D''(-20, 15) A''(-15, 10). The coordinates of the quadrilateral GHIJ

are; G(-15, -10), H(-5, -10), I(-10 - 5), J(-20, -5)

• Translation 20 units down

The x-coordinates of the quadrilaterals A''B''C''D'', and GHIJ are the same,

therefore, we translate A''B''C''D'', 20 units down to get;

B'''(-5, -10), C'''(-10, -5), D'''(-20, -5) A'''(-15, -10)

Coordinates of A'''(-15, -10) = G(-15, -10)

Coordinates of B'''(-5, -10) = H(-5, -10)

Coordinates of C'''(-10, -5) = I(-10 - 5)

Coordinates of D'''(-20, -5) = J(-20, -5)

Therefore;

The sequence of transformation that can be performed on quadrilateral

ABCD to show that is congruent to GHIJ is a;

• B. 90 degree counter clockwise rotation about point A

Followed by a;

• B. Reflection across the y-axis and a translation 20 units down

Learn more here:

https://brainly.com/question/1593448