Question

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 “none.” 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

Explanation:

Step1: Identify angle pairs (top table)

Using the diagram with lines \(l, m, r\):

• Corresponding Angles: $\angle1$ & $\angle5$, $\angle2$ & $\angle6$, $\angle3$ & $\angle7$, $\angle4$ & $\angle8$
• Alternate Interior Angles: $\angle3$ & $\angle5$, $\angle4$ & $\angle6$
• Alternate Exterior Angles: $\angle1$ & $\angle7$, $\angle2$ & $\angle8$
• Consecutive Interior Angles: $\angle3$ & $\angle6$, $\angle4$ & $\angle5$
• Consecutive Exterior Angles: $\angle1$ & $\angle8$, $\angle2$ & $\angle7$

Step2: Solve Example 3 (lines \(r, p, q\))

Match each pair to definitions:
a. $\angle1$ & $\angle8$: Alternate Exterior Angles
b. $\angle2$ & $\angle3$: Consecutive Interior Angles
c. $\angle5$ & $\angle7$: Corresponding Angles
d. $\angle2$ & $\angle7$: Consecutive Exterior Angles
e. $\angle1$ & $\angle3$: none
f. $\angle5$ & $\angle8$: none

Step3: Solve Example 4 (lines \(c, d, a, b\))

Match each pair to definitions:
a. $\angle5$ & $\angle13$: Corresponding Angles
b. $\angle7$ & $\angle14$: Consecutive Interior Angles
c. $\angle3$ & $\angle6$: Alternate Interior Angles
d. $\angle9$ & $\angle14$: Alternate Exterior Angles
e. $\angle4$ & $\angle7$: none
f. $\angle2$ & $\angle10$: Corresponding Angles
g. $\angle8$ & $\angle14$: none
h. $\angle6$ & $\angle11$: none
i. $\angle4$ & $\angle13$: Alternate Exterior Angles

Answer:

Angle Pair Examples (top table):

• Corresponding Angles: $\angle1$ & $\angle5$, $\angle2$ & $\angle6$, $\angle3$ & $\angle7$, $\angle4$ & $\angle8$
• Alternate Interior Angles: $\angle3$ & $\angle5$, $\angle4$ & $\angle6$
• Alternate Exterior Angles: $\angle1$ & $\angle7$, $\angle2$ & $\angle8$
• Consecutive (Same-Side) Interior Angles: $\angle3$ & $\angle6$, $\angle4$ & $\angle5$
• Consecutive (Same-Side) Exterior Angles: $\angle1$ & $\angle8$, $\angle2$ & $\angle7$

Example 3:

a. Alternate Exterior Angles
b. Consecutive Interior Angles
c. Corresponding Angles
d. Consecutive Exterior Angles
e. none
f. none

Example 4:

a. Corresponding Angles
b. Consecutive Interior Angles
c. Alternate Interior Angles
d. Alternate Exterior Angles
e. none
f. Corresponding Angles
g. none
h. none
i. Alternate Exterior Angles