pre-cal 30s january 23, 2009

Exam Rehearsal:Circle Geometry

Mandala - the pattern of creation by flickr user Carf

Given: AP and AQ are tangentsBS = RE∠2 = ∠5

Prove that BC = ED

Justify every step in your solution.

What is the measure of angle x?

(a) 55° (b) 70° (c) 140°

(d) 220° (e) none of these

Determine the value of x.

(a) 30° (b) 60° (c) 90°

(d) 120° (e) none of these

Find the measure of angle x.

(a) 25° (b) 32.5° (c) 50°

(d) 65° (e) 90°

Determine the measure of angle x, in degrees.

(a) 75° (b) 80° (c) 95°

(d) 100° (e) none of these

Determine the measure of angle x, in degrees.

(a) 40° (b) 60° (c) 80°

(d) 90° (e) 100°

ANALYTIC GEOMETRY

LONG ANSWERThe lines y = 3x + 1 and y = 3x - 9 are parallel. Determine:

(c) the shortest distance between the two lines.

(b) the horizontal distance between the two lines.

(a) the vertical distance between the two lines.

LONG ANSWERThe lines y = 3x + 1 and y = 3x - 9 are parallel. Determine:

(c) the shortest distance between the two lines.

(b) the horizontal distance between the two lines.

(a) the vertical distance between the two lines.

Find the point of intersection of the graphs of y = x - 7 and y = 3x + 1.

(a) (6, -1) (b) (3, -1) (c) (-4, -11) (d) -1, -4) (e) none of these

The point (3, 2) is the midpoint of (x, y) and (5, 1). Find the point (x, y).

(a) (3, 1) (b) (10, 2) (c) (d) (1, 3) (e) none of these