Topic Test Review - Analytic Geometry Unit

The slope of a line in a blueprint must be 5/6 < |m| < 7/4. A line is drawn that contains the points A(5, 6) and B(6, 4). Determine if the line meets the required specifications. A. No, the rooftop does not meet the specifications, because the absolute value of the roof's slope is greater than the parameters. B. No, the rooftop does not meet the specifications, because the absolute value of the roof's slope is less than the parameters. C. Yes, the rooftop does meet the specifications, because the absolute value of the roof's slope is within the parameters. D. Yes, the rooftop does meet the specifications, because the absolute value of the roof's slope is less than the parameters.

A. No, the rooftop does not meet the specifications, because the absolute value of the roof's slope is greater than the parameters.

Triangle ABC has vertices of A(-8 ,8), B(6, 2), and C(-2, 1). Find the length of the median from <C in triangle ABC. A. Square root of 17 B. 4 C. 5 D. Square root of 65

A. Square root of 17

Show that the 4 points form a trapezoid. A. The slope of AB and the slope of CD are both 1/2. The slopes of the other two line segments are not equal. B. The slope of AB and the slope of CD are both 1/2. The slopes of the other two line segments are not equal. C. DA = 17 = CB = 18 D. DA = CB = 17

A. The slope of AB and the slope of CD are both 1/2. The slopes of the other two line segments are not equal.

What is the slope of a line that is perpendicular to 6x + 3y = -9? A. 2 B. 1/2 C. -2 D. -1/2

B. 1/2

Triangle ABC has vertices A(0, 2), B(x, 0), and C(0, -2). Determine the value of x that makes triangle ABC a regular triangle. A. 2 B. Square root of 12 C. Square root of 14 D. 4

B. Square root of 12

Show that the 4 points are the vertices of a trapezoid. A. The slope of AB and the slope of CD are both 1. The slopes of the other two line segments are not equal. B. The slope of Ad and the slope of BC are both undefined. The slopes of the other two line segments are not equal. C. DB = 2 = CA = 29 D. DB = CA = 17

B. The slope of Ad and the slope of BC are both undefined. The slopes of the other two line segments are not equal.

Two lines are parallel. The equation of the first line is y = -3x + 5. Which of the following cannot be the equation of the second line? A. y = -3x + 2 B. x - 3y = -3 C. 3x + y = -6 D. 6x + 2y = 2

B. x - 3y = -3

The endpoints of ON are located at O(1, 2) and N(3, 1). Using slope-intercept form, write the equation of line ON. A. y = -2x +4 B. y = -1/2x + 5/2 C. y = 1/2x + 3/2 D. y = 2x

B. y = -1/2x + 5/2

What is the equation of the line that passes through (4, 2) and is parallel to 3x - 2y = -6? A. y = -3/2x + 8 B. y = 3/2x - 4 C. y = 1/2x D. y = 2/3x - 4

B. y = 3/2x - 4

Select the graph that represents the equation (x - 2)^2 + (y+3)^2 = 6.25.

C.

A figure with vertical line symmetry is placed in the coordinate plane. Given that the points (1, 4) and (6, 4) are on the edges of the figure, which of the following points lies on the line of symmetry? A. (1, 5) B. (2.5, 0) C. (3.5, 4) D. (7, 8)

C. (3.5, 4)

The center of a circle is located at C(-7, -4). The y- axis is tangent to the circle at (0, 4). Find the equation of the circle. A. x^2 +y^2 = 49 B. (x -7) + (y-4)^2 = 49 C. x^2 + (y + 4)^2 = 16 D. (x +7)^2 + (y +4)^2 = 49

D. (x +7)^2 + (y +4)^2 = 49

Quadrilateral BCDE is a square. The coordinates of B are B(0, 3), and the coordinates of C are C(3, 5). Find the slopes of BC, CD, DE, and EB.

D. BC = 2/3, CD = -3/2, DE = 2/3, EB = -3/2

What is the best name for the figure with the following coordinates? (4, 1), (1, 1), (3, -2), and (0, -2) A. rectangle B. square C. trapezoid D. parallelogram

D. parallelogram

The equation of a line is y = 1/4x -2. What is the equation of the line that is parallel to the first line and passes through (4,-2)? A. y = -4x + 14 B. y = -1/4x - 1 C. y = -4x + 3 D. y = 1/4x - 3

D. y = 1/4x - 3