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 Is the same as the orientation of the vertices of pentagon JKLMN.
Studdy Solution
STEP 1
1. Pentagon JKLMN is translated 8 units to the left and 7 units up.
2. The transformation is a translation, which is a type of rigid motion.
3. Rigid motions preserve distances and angles.
STEP 2
1. Understand the properties of translations.
2. Analyze each statement to determine its validity.
STEP 3
Understand the properties of translations: - Translations are rigid motions, meaning they preserve the shape and size of geometric figures. - The perimeter and area of a figure remain unchanged after a translation. - The angle measures remain congruent after a translation. - The orientation of the vertices remains the same after a translation.
STEP 4
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:
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