Question

Which of these statements are correct about an angle measuring 78° in a coordinate plane?

Select three that apply.

A. If it is reflected across the line y = x, it will still measure 78°.
B. If it is translated 22 units down, it will no longer measure 78°.
C. If it is rotated 180° about the origin, it will no longer measure 78°.
D. If it is reflected across the yaxis, it will no longer measure 78°.
E. If it is translated 26 units to the left, will still measure 78°.
F. If it is rotated 90° about the origin, will still measure 78°.

Answer 1

Correct statements about a 78° angle in a coordinate plane are that reflections across a line or axis and translations do not change its measure, and neither does a rotation about the origin.

Step-by-step explanation:

The correct statements about an angle measuring 78° in a coordinate plane are:

• A. If it is reflected across the line y = x, it will still measure 78°.
• E. If it is translated 26 units to the left, will still measure 78°.
• F. If it is rotated 90° about the origin, will still measure 78°.

Reflections over a line, such as y = x, or the y-axis do not change an angle's measure; they simply mirror the angle across the line or axis. Translation, whether it's vertical or horizontal, moves the angle without altering its size or shape. Rotations about the origin preserve angles as well. However, in some cases, like when reflected across an axis, the angle might have its orientation changed but the measure of the angle remains the same.