Which statement is no true about adjacent angles?
They have no interior points in common.
They share a common side.
They are coplanar.
They have the same measure.
My answer: D
To determine which statement is not true about adjacent angles, let's analyze each option.
A) "They have no interior points in common": This statement is true. Adjacent angles are two angles that share a common vertex and a common side, but they do not have any interior points in common.
B) "They share a common side": This statement is true. Adjacent angles share a common side. For example, in the figure below, angle ABC and angle CBD are adjacent and share the common side BC:
A------------B
\
C--------D
C) "They are coplanar": This statement is true. Adjacent angles are always on the same plane. For instance, in the figure above, angles ABC and CBD are coplanar because they lie on the same plane.
D) "They have the same measure": This statement is not true. Adjacent angles do not necessarily have the same measure. The measure of two adjacent angles can be equal, but it is not a requirement. Therefore, the correct answer is D.
In conclusion, the statement "They have the same measure" is not true about adjacent angles.