Question

The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is _______ .

A ________ must be used to make the two polygons coincide.

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is ________ .

Answer 1

The correct answers are:

1; rotation; a translation 3 units up and a reflection through the y-axis.

Explanation:

Rotating ABCDE 90° counterclockwise about the point (7, 0) will result in figure FGHIJ. This means it takes only 1 transformation, and it is a rotation.

If ABCDE were translated 3 units up and reflected through the y-axis, the image would not be rotated the way that it is in FGHIJ. Thus they would not coincide.

Answer 2

ABCDE were translated 3 units up and reflected through the y-axis.

Explanation:

Given : graph.

TO find : The minimum number of rigid transformations required to show that polygon ABCDE is congruent to polygon FGHIJ is _______ .

A ________ must be used to make the two polygons coincide.

A sequence of transformations of polygon ABCDE such that ABCDE does not coincide with polygon FGHIJ is ________ .

Solution :

Rotating ABCDE 90° counterclockwise about the point (7, 0) will result in figure FGHIJ. This means it takes only 1 transformation, and it is a rotation.

If ABCDE were translated 3 units up and reflected through the y-axis, the image would not be rotated the way that it is in FGHIJ. Thus they would not coincide.

Therefore, ABCDE were translated 3 units up and reflected through the y-axis.