Geometry Name _____________________________________

REVIEW: Chapter 3

For numbers 1 and 2, refer to the figure.

1. Identify the plane parallel to plane TUW.

2. Name a segment skew to 𝑊𝑌̅̅ ̅̅ ̅ .

For 3 – 5, identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.

3. ∠2 and ∠12

4. ∠3 and ∠5

5. ∠7 and ∠15

For 6 – 7, answer the question and give the theorem or postulate which justifies your answer (write in if-then form).

6. Given m ║ n in the diagram above and m∠8 = 86, find m∠13. m∠13 = _____________

Reason: __________________________________________________

_________________________________________________________

7. Find the values of x and y given m ║ n in the diagram above,

m∠4 = (6x – 5), m∠10 = (5x + 8), and m∠9 = (3y – 10). x = ___________

Reason: __________________________________________________

_________________________________________________________

y = ___________

Reason: __________________________________________________

_________________________________________________________

8. Determine the slope of VW with V(–10, –4) and W(5, 5)

9. Maurice joined Costco as a membership salesperson in 2005. The number of memberships he sold increased at an average rate of 56

memberships per year between 2005 and 2009. In 2009 he sold a total of 336 memberships. If the number of memberships

Mauricio sold continued to increase at the same rate, how many memberships did he sell in 2011?

For numbers 10 and 11, determine whether 𝑪𝑺 ⃡ and 𝑲𝑷 ⃡ are parallel, perpendicular, or neither.

10. C(1, –12), S(5, 4), K(1, 9), P(6, –6)

11. C(–5, 6), S(–3, 2), K(–2, 10), P(1, 4)

For numbers 12 – 16, write an equation in slope-intercept form for the line that satisfies the given conditions.

12. m = –9, y-intercept = 3

13. m = 3, contains (–1, 5)

14. through the points (-2, -5) and (-5, 1)

15. is parallel to y = 1

3x + 2 and goes through (6, -9)

16. is perpendicular to y = 3x – 5 and goes through (3, 16)

17. Determine the slope of the line −4𝑥 + 6𝑦 = 12.

For numbers 18 – 20, given the following information, determine which lines, if any, are parallel. State the postulate or

theorem that justifies your answer. (in if-then form)

18. ∠1 ≅ ∠2

19. ∠DAB ≅ ∠EBC

20. m∠ADE + m∠BED = 180

21. Find the value of x that makes a ║ b. Explain your reasoning (in if-then form). x = ___________

Reason: __________________________________________________

_________________________________________________________

22. Find the distance between the lines x = 2 and x = -4.