Question

examine the diagram below. name the geometric relationships of the angles below.
a. d and e
hint (a):
b. e and h
hint (b)
c. a and e
answer (c)
d. c and d
answer (d)

Explanation:

• For part a: When two lines are crossed by a transversal, alternate interior angles are non - adjacent and on opposite sides of the transversal. Angles \(d\) and \(e\) fit this definition.
• For part b: Vertical angles are opposite angles formed by the intersection of two lines. Angles \(e\) and \(h\) are opposite each other at the intersection of the two lines.
• For part c: Corresponding angles are in the same relative position at each intersection where a straight line crosses two others. Angles \(a\) and \(e\) are in the same relative position.
• For part d: Adjacent angles share a common side and a common vertex. Angles \(c\) and \(d\) share a common side and vertex.

Answer:

a. Alternate interior angles
b. Vertical angles
c. Corresponding angles
d. Adjacent angles