Which of the following angle pairs demonstrates the property of rotations, reflections, and translations that angles are taken to angles of the same measure?

Question

(1 point)

angles Band F

angles B and D

Angles A and B

angles C and F

A: -5, 1 (57.5)
B: -2, 2 (74.8)
C: -4, 5 (47.7)

D: 2, 2 (74.8)
E: 4, 5 (47.7)
F: 5, 1 (57.5)

Answer 1

To determine which angle pairs demonstrate the property of rotations, reflections, and translations—specifically that angles are taken to angles of the same measure—we need to compare the measures of the given angles.

Here are the angles from the data provided:

• Angle A: 57.5
• Angle B: 74.8
• Angle C: 47.7
• Angle D: 74.8
• Angle E: 47.7
• Angle F: 57.5

Now, let's match the pairs provided:

1. Angles B and F:

   • B: 74.8
   • F: 57.5
   • Not equal.

2. Angles B and D:

   • B: 74.8
   • D: 74.8
   • Equal.

3. Angles A and B:

   • A: 57.5
   • B: 74.8
   • Not equal.

4. Angles C and F:

   • C: 47.7
   • F: 57.5
   • Not equal.

The only pair of angles that have the same measure is angles B and D (both 74.8 degrees).