Consider the picture, and check the choices:
A. The alternate interior angles, are also called Z angles, because of the Z shape they create.
examples of Z angles, are the green angles and purple angles shown in the picture.
They really look identical (congruent)
B.
No: check the green angles in figure 1, and purple angles if figure 2. they are not acute.
C.
No. In each case, we have the same number of acute angles and obtuse angles,
except case3, where the intersecting line, is perpendicular to the parallel lines.
D.
No, by the same reasoning used in part C. Only when the intersecting line cuts the 2 parallel lines perpendicularly, all the angles are congruent.
Answer: A
A. The alternate interior angles, are also called Z angles, because of the Z shape they create.
examples of Z angles, are the green angles and purple angles shown in the picture.
They really look identical (congruent)
B.
No: check the green angles in figure 1, and purple angles if figure 2. they are not acute.
C.
No. In each case, we have the same number of acute angles and obtuse angles,
except case3, where the intersecting line, is perpendicular to the parallel lines.
D.
No, by the same reasoning used in part C. Only when the intersecting line cuts the 2 parallel lines perpendicularly, all the angles are congruent.
Answer: A
