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 (-3, 4), upper B is at (-5, 3), upper C is at (-4, 1), upper D is at (-2, 2), and upper E is at (-2, 3).

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 (3, -1), upper G is at (0.9, -1.9), upper H is at (1.9, -3.9), upper I is at (4, -3), upper J is at (4, -2).

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?

Answer 1

The transformation shown is a rotation. Each pentagon has been rotated around its center point to form the angles between the sides of the pentagon.