Geometry FLVS 04.04 Coordinate Geometry Review and Practice Test

The equation of line CD is y = 3x − 3. Write an equation of a line perpendicular to line CD in slope-intercept form that contains point (3, 1).

y = -1/3x + 2

The equation of line AB is y = 5x + 1. Write an equation of a line parallel to line AB in slope-intercept form that contains point (4, 5).

y = 5x − 15

On a number line, point A is located at 0, point C is located at −2, and point B lies between points A and C. What is the location of B such that the ratio of CB:BA is 3:1?

−0.5

Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a square?

Prove that all sides are congruent, and the slopes of consecutive sides are opposite reciprocals

Figure LMNO is located at L (1, 1), M (4, 4), N (7, 1), and O (4, −2). Use coordinate geometry to best classify quadrilateral LMNO.

Square

Segment AB is on the line y − 9 = −4(x + 1), and segment CD is on the line y − 6 = 1/4(x − 3). Which statement proves the relationship of segments AB and CD?

They are perpendicular because they have slopes that are opposite reciprocals of −4 and 1/4

Segment AB is on the line y − 4 = −5(x − 1), and segment CD is on the line y − 4 = 1/5(x − 5). Which statement proves the relationship of segments AB and CD?

They are perpendicular because they have slopes that are opposite reciprocals of −5 and 1/5

Quadrilateral WXYZ is on a coordinate plane. Segment XY is on the line x − y = −3, and segment WZ is on the line x − y = 1. Which statement proves how segments XY and WZ are related?

They have the same slope of 1 and are, therefore, parallel.

Quadrilateral WXYZ is on a coordinate plane. Segment YZ is on the line x + y = 7, and segment XW is on the line x + y = 3. Which statement proves how segments YZ and XW are related?

They have the same slope of −1 and are, therefore, parallel.

Figure LMNO is located at L (1, 1), M (2, 3), N (4, 3), and O (5, 1). Use coordinate geometry to best classify quadrilateral LMNO.

Trapezoid

ΔABC is located at A (3, 1), B (4, 4), and C (5, 1). Zackery says that ΔABC is an equilateral triangle, while Verna says that it is an isosceles triangle. Who is correct?

Verna, because AB≅ BC

ΔABC is located at A (2, 3), B (4, 4), and C (6, 3). Zackery says that ΔABC is an isosceles triangle, while Verna says that it is a right triangle. Who is correct?

Zackery, because AB≅ BC

On a number line, point A is located at 1, point C is located at −4, and point B lies between points A and C. What is the location of B such that the ratio of CB:BA is 3:1?

-0.25

Figure ABCD is a parallelogram. If point C lies on the line x = 2, what is the y-value of point C?

0

Find the weighted average of the numbers −1 and 5 with 2/3 of the weight on the first number and 1/3 on the second number.

1

Segment YW is an altitude of triangle XYZ. Find the area of the triangle.

10.5

Find the perimeter of the following shape, rounded to the nearest tenth:

15.7

What point on the number line is 3/4 of the way from the point −3 to point 4?

2.25

Amy is helping plan her school's new basketball court. The west edge of the basketball court is located on the line y = 2x + 5. The east edge cannot intersect with the west edge. On which line could the east edge be located?

2x − y = 96

Find the weighted average of the numbers 1 and 5 with 1/4 of the weight on the first number and 3/4 on the second number.

4

What is the area of rectangle ABCD?

8 square units