Question

5 tell whether each statement about the figure is true or false. a. ∠1 and ∠9 are corresponding angles. b. ∠2 and ∠7 are alternate exterior angles. c. ∠3 and ∠10 are alternate interior angles. d. ∠4 and ∠7 are alternate interior angles.

Explanation:

• For part a:
• Corresponding angles are in the same relative position. ∠1 and ∠9 are not in the same relative position. So, ∠1 and ∠9 are not corresponding angles.
• For part b:
• Alternate exterior angles are outside the two parallel lines and on opposite sides of the transversal. ∠2 is an exterior angle, but ∠7 is an interior angle. So, ∠2 and ∠7 are not alternate exterior angles.
• For part c:
• Alternate interior angles are between the two parallel lines and on opposite sides of the transversal. ∠3 is between the first - two parallel lines and ∠10 is between the last - two parallel lines. So, ∠3 and ∠10 are not alternate interior angles.
• For part d:
• Alternate interior angles are between the two parallel lines and on opposite sides of the transversal. ∠4 and ∠7 are between the two middle parallel lines and on opposite sides of the transversal. So, ∠4 and ∠7 are alternate interior angles.

Answer:

a. False
b. False
c. False
d. True