University:
College Entrance Preparation
Course:
ACT Preparation (Mathematics)
Academic year:

2020
Views:

408

Pages:

1
Author:

Tyshawn Shaffer

NAME _____________________________________________ DATE __________________ PERIOD _________ Lesson 1 Skills Practice Lines For Exercises 1–12, use the figure at the right. In the figure, line m is parallel to line n. N Classify each pair of angles as alternate interior, alternate exterior, or corresponding. O 1 2 5 3 6 4 7 Q 8 1. ∠1 and ∠8 alternate exterior 2. ∠5 and ∠7 corresponding 3. ∠3 and ∠6 alternate interior 4. ∠2 and ∠4 corresponding 5. ∠2 and ∠7 alternate interior 6. ∠4 and ∠5 alternate exterior If m∠4 = 122°, find each given angle measure. Justify your answer. 58°; Sample answer: ∠4 and ∠8 are supplementary. So, m∠8 = 180° - 122° = 58˚. 7. m∠8 122°; Sample answer: ∠4 and ∠5 are alternate exterior angles. So, m∠5 = 122°. 8. m∠5 122°; Sample answer: ∠2 and ∠4 are corresponding angles. So, m∠2 = 122°. 9. m∠2 58°; Sample answer: ∠1 and ∠2 are supplementary. So, m∠1 = 180° - 122° = 58°. 10. m∠1 58°; Sample answer: ∠1 and ∠6 are vertical angles. So, m∠6 = 58°. 11. m∠6 122°; Sample answer: ∠4 and ∠7 are vertical angles. So, m∠7 = 122°. 12. m∠7 For Exercises 13 and 14, use the figure at the right. 13. List all the angles congruent to the given angle. Explain your reasoning. ∠2, ∠4, ∠6; Sample answer: ∠2 is vertical to the given angle; ∠4 and the given angle are corresponding angles; ∠6 and the given angle are alternate exterior angles. 1 2 5 6 43° 3 4 7 14. List all the angles congruent to ∠5. Explain your reasoning. ∠1, ∠3, ∠7; Sample answer: ∠1 and ∠5 are corresponding angles; ∠3 and ∠5 are alternate interior angles; ∠7 and ∠5 are vertical angles. 74 Course 3 • Chapter 5 Triangles and the Pythagorean Theorem