Question

question 9 (4 points) identify the transversal and classify each angle pair: column a 1. ∠1 and ∠2 2. ∠2 and ∠3 3. ∠2 and ∠4 4. ∠4 and ∠5 column b a. transversal: line n & corresponding angles b. transversal: line p & same - side interior angles c. transversal: line m & alternate exterior angles d. transversal: line n & alternate interior angles

Explanation:

Step1: Define transversal and angle - pair types

A transversal is a line that intersects two or more other lines. Corresponding angles are in the same relative position, alternate - interior angles are between the two intersected lines and on opposite sides of the transversal, alternate - exterior angles are outside the two intersected lines and on opposite sides of the transversal, and same - side interior angles are between the two intersected lines and on the same side of the transversal.

Step2: Analyze ∠1 and ∠2

Line n is the transversal. ∠1 and ∠2 are in the same relative position with respect to the intersection of line n with the other lines. So, they are corresponding angles.

Step3: Analyze ∠2 and ∠3

Line m is the transversal. ∠2 and ∠3 are outside the two lines (n and the other non - named line) and on opposite sides of line m. So, they are alternate exterior angles.

Step4: Analyze ∠2 and ∠4

Line n is the transversal. ∠2 and ∠4 are between the two lines (the non - named line and p) and on opposite sides of line n. So, they are alternate interior angles.

Step5: Analyze ∠4 and ∠5

Line p is the transversal. ∠4 and ∠5 are between the two lines (n and the non - named line) and on the same side of line p. So, they are same - side interior angles.

Answer:

1. a. Transversal: line n & Corresponding Angles
2. c. Transversal: line m & Alternate Exterior Angles
3. d. Transversal: line n & Alternate Interior Angles
4. b. Transversal: line p & Same - Side Interior Angles