Question

transversal

• a line that intersects two or more lines.
• example:

angles
formed by a
transversal
angle pair
examples
corresponding angles
angles on the same side of the transversal and in
the same position.
alternate interior angles
interior angles, non - adjacent, and on opposite
sides of the transversal.
alternate exterior angles
exterior angles, non - adjacent, and on opposite
sides of the transversal.
consecutive (same - side) interior angles
interior angles that are on the same side of the
transversal.
consecutive (same - side) exterior angles
exterior angles that are on the same side of the
transversal.
example 3
name the type of angle relationship. if no relationship exists, write
one.\
a. ∠1 and ∠8
b. ∠2 and ∠3
c. ∠5 and ∠7
d. ∠2 and ∠7
e. ∠1 and ∠3
f. ∠5 and ∠8
example 4
a. ∠5 and ∠13
b. ∠7 and ∠14
c. ∠3 and ∠6
d. ∠9 and ∠14
e. ∠4 and ∠7
f. ∠2 and ∠10
g. ∠8 and ∠14
h. ∠6 and ∠11
i. ∠4 and ∠13
j. ∠4 and ∠9

Explanation:

• For Example 3:
• a. $\angle1$ and $\angle8$: Alternate Exterior Angles (non - adjacent, exterior, opposite sides of transversal).
• b. $\angle2$ and $\angle3$: Adjacent angles (common side and vertex), not one of the special transversal - related angle pairs.
• c. $\angle5$ and $\angle7$: Vertical angles (opposite angles formed by intersecting lines).
• d. $\angle2$ and $\angle7$: None (no specific transversal - related relationship).
• e. $\angle1$ and $\angle3$: Vertical angles (opposite angles formed by intersecting lines).
• f. $\angle5$ and $\angle8$: Alternate Interior Angles (non - adjacent, interior, opposite sides of transversal).
• For Example 4:
• a. $\angle5$ and $\angle13$: Corresponding Angles (same side of transversal, same position).
• b. $\angle7$ and $\angle14$: Alternate Interior Angles (non - adjacent, interior, opposite sides of transversal).
• c. $\angle3$ and $\angle6$: Alternate Interior Angles (non - adjacent, interior, opposite sides of transversal).
• d. $\angle9$ and $\angle14$: None (no specific transversal - related relationship).
• e. $\angle4$ and $\angle7$: Alternate Exterior Angles (non - adjacent, exterior, opposite sides of transversal).
• f. $\angle2$ and $\angle10$: Corresponding Angles (same side of transversal, same position).
• g. $\angle8$ and $\angle14$: Corresponding Angles (same side of transversal, same position).
• h. $\angle6$ and $\angle11$: None (no specific transversal - related relationship).
• i. $\angle4$ and $\angle13$: Alternate Exterior Angles (non - adjacent, exterior, opposite sides of transversal).
• j. $\angle4$ and $\angle9$: Consecutive (Same - Side) Interior Angles (interior, same side of transversal).

Answer:

Example 3:
a. Alternate Exterior Angles
b. None
c. Vertical angles
d. None
e. Vertical angles
f. Alternate Interior Angles

Example 4:
a. Corresponding Angles
b. Alternate Interior Angles
c. Alternate Interior Angles
d. None
e. Alternate Exterior Angles
f. Corresponding Angles
g. Corresponding Angles
h. None
i. Alternate Exterior Angles
j. Consecutive (Same - Side) Interior Angles