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 .

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

Step-by-step 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.

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0