Download Ch. 3 Review Answers

Honors Geometry
Chapter 3 Review Answers
Name: _____________________________________
For numbers 1 – 5, use the figure below.
For numbers 1 – 3, identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1. 5 and 13
Corresponding angles
2. 7 and 12
alternate interior angles
3. 9 and 16
Alternate exterior angles
4. Given a || b and m6 = 89°, find m10.
91°
5. Find the values of x and y given a || b, m8 = (4x + 10)°, m12 = (7x – 17)°, and m11 = (3y)°.
x = 17; y = 26
6. Determine the slope of the line that contains the given points: P(–5, 11), R(5, 7)
2

5
For numbers 7 – 9, determine whether BT and MV are parallel, perpendicular, or neither.
7. B(1, –4), T(5, 12), M(–8, 3), V(–4, 2)
Perpendicular
8. B(–5, –7), T(10, 17), M(–5, –10), V(5, 6)
Parallel
9. B(3, –5), T(5, –1), M(–2, 6), V(4, 3)
Perpendicular
10. A job hotline service charges $25 plus a 4% commission, c, on the first month of earnings if it finds work for a client. Write an
equation that represents the total cost, T, to find a job through the hotline. What is the cost if a client earns $1500 the first month?
T = 25 + 0.04c; $85
For numbers 11 – 13, write an equation in slope-intercept form for the line that satisfies the given condition.
11. Passes through (–7, –4), parallel to y 
1
x  9.
2
1
1
x
2
2
13. Passes through (–1, –10), parallel to y = 7.
Y = –10
y
2
12. Passes through (6, 2), perpendicular to y   x  1.
3
3
y  x7
2
For numbers 14 – 16, given the following information, determine which lines, if any, are parallel. State the postulate or theorem that
justifies your answer.
14. QSR  SUT
RS || TU
Corresponding angles converse
16. mRTU + mTUS = 180°
QU || PT
Consecutive interior angles converse
17. Find the value of x so that p || q.
x = 12
15. 1  2
QU || PT
alternate interior angles converse
For numbers 18 & 19, find the distance between each pair of parallel lines.
18. y = 3x – 1 and y = 3x – 11
d  10
19. y = –5x and y = –5x + 26
d  26
20. Construct a line perpendicular to ℓ through Q(2, 3). Then find the distance from Q to ℓ.
d 4 2