The angle pairs that demonstrate the property of rotations, reflections, and translations that angles are taken to angles of the same measure are angle A and angle F, as well as angle B and angle D.
Angle A and angle F both measure 57.5 degrees, while angle B and angle D both measure 74.8 degrees.
Therefore, the angle pairs A and F, as well as B and D, demonstrate the property of rotations, reflections, and translations that angles are taken to angles of the same measure.
A coordinate plane shows two triangles of the same size plotted in quadrants 1 and 2. The horizontal axis ranges from negative 5 to 5 in unit increments. The vertical axis ranges from 0 to 5 in unit increments. Three points labeled upper A upper B upper C form a solid line triangle. The unmarked coordinates are as follows: upper A is at (-5, 1), upper B is at (-2, 2), and upper C is at (-4, 5).
The triangle forms an angle upper A of 57.5 degrees between upper A B and upper A C, an angle upper B of 74.8 degrees between upper A B and upper B C, and an angle upper C of 47.7 degrees between upper B C and upper A C. Three points labeled upper D upper E upper F form a dotted line triangle. The unmarked coordinates are as follows: upper D is at (2, 2), upper E is at (4, 5), and upper F is at (5, 1).
The triangle forms an angle upper F of 57.5 degrees between upper D F and upper E F, an angle upper D of 74.8 degrees between upper F D and upper E D, and an angle upper E of 47.7 degrees between upper D E and upper F E.
Which of the following angle pairs demonstrates the property of rotations, reflections, and translations that angles are taken to angles of the same measure?
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1 answer