Use the image to answer the question.

Question

A coordinate plane shows two pentagons in quadrants 2 and 4. The horizontal axis ranges from negatives 5 to 5 in unit increments. The vertical axis ranges from negative 4 to 4 in unit increments. Five points labeled upper A upper B upper C upper D upper E form a solid line pentagon. The unmarked approximate coordinates are as follows: upper A is at left parenthesis negative 3 comma 4 right parenthesis, upper B is at left parenthesis negative 5 comma 3 right parenthesis, upper C is at left parenthesis negative 4 comma 1 right parenthesis, upper D is at left parenthesis negative 2 comma 2 right parenthesis, and upper E is at left parenthesis negative 2 comma 3 right parenthesis. The pentagon forms an angle upper A of 108.4 degrees between upper A B and upper A E, an angle upper B of 90 degrees between upper A B and upper B C, an angle upper C 90 degrees between upper B C and upper C D, an angle upper D of 116.6 degrees between upper C D and upper D E, and an angle upper E of 135 degrees between upper A E and upper E D. Five points labeled upper F upper G upper H upper I upper J form a dotted line pentagon. The unmarked approximate coordinates are as follows: upper F is at left parenthesis 3 comma negative 1 right parenthesis, upper G is at left parenthesis 0.9 comma negative 1.9 right parenthesis, upper H is at left parenthesis 1.9 comma negative 3.9 right parenthesis, upper I is at left parenthesis 4 comma negative 3 right parenthesis, upper J is at left parenthesis 4 comma negative 2 right parenthesis. The pentagon forms an angle upper F of 112.8 degrees between upper F G and upper F J, an angle upper G of 84.7 degrees between upper F G and upper G H, an angle upper H of 95.2 degrees between upper G H and upper H I, an angle upper I of 112.3 degrees between upper H I and upper I J, and an angle upper J of 135 degrees between upper I J and upper J F.

What type of transformation is shown?

(1 point)
Responses

This is a translation.
This is a translation.

This is a rotation.
This is a rotation.

This is a reflection.
This is a reflection.

This is not a transformatio

Answer 1

Based on your description, the two pentagons are located in different quadrants of the coordinate plane, and you have provided their vertices and angles. To determine the transformation between the two pentagons:

• A translation would mean that the pentagons maintain their shape and size but are moved to a different location.
• A rotation would involve turning the pentagon around a point but keeping the size and shape the same.
• A reflection would flip the pentagon over a line, creating a mirror image.
• "This is not a transformation" is used when there is no clear geometric transformation between the two figures.

Given that the two pentagons are in different locations and have different orientations in the plane, if they maintain their shapes and sizes but have been moved to different quadrants without additional flipping or rotating, the best conclusion would be that it is a translation.

However, without an image for visual confirmation, the answer relies on the information you provided. If the shapes did not change their orientation or size and were simply shifted, then the response would be:

This is a translation.