Math  /  Geometry

Question3 fentagan JKLMN was transtated 8 unlits to the left and 7 units up to creatre pentagon Jok M'N: Which rule describes this transformation? A The perimeter of pentagon JKL'M"N" is grater than the perimeter of pentagon JKLMN. (3) The area of pentagon J'K' 'MN' is less than the area of pentagon JKLMN.
C The angle measures of pentagon J'K'L M'N' are not congruent to the corresponding angle measures of pentagon JKLMN.
D The orientation of the vertices of pentagon JKLMNJ^{\prime} K L^{\prime} M^{\prime} N^{\prime} Is the same as the orientation of the vertices of pentagon JKLMN.

Studdy Solution
Analyze each statement:
- Statement A: "The perimeter of pentagon J'K'L'M'N' is greater than the perimeter of pentagon JKLMN." - Since translations preserve distances, the perimeter remains unchanged. This statement is false.
- Statement B: "The area of pentagon J'K'L'M'N' is less than the area of pentagon JKLMN." - Since translations preserve area, the area remains unchanged. This statement is false.
- Statement C: "The angle measures of pentagon J'K'L'M'N' are not congruent to the corresponding angle measures of pentagon JKLMN." - Since translations preserve angles, the angle measures remain congruent. This statement is false.
- Statement D: "The orientation of the vertices of pentagon J'K'L'M'N' is the same as the orientation of the vertices of pentagon JKLMN." - Since translations preserve orientation, the orientation remains the same. This statement is true.
The correct rule that describes this transformation is:
D \boxed{\text{D}}

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