Coordinate Geometry Hard
9 Questions
| Attempts: 1372
Difficult coordinate geometry ACT questions
Questions and Answers
- 1.
Given the vertices of parallelogram QRST in the standard (x, y) coordinate plane below, what is the area of triangle QRS, in square units?- A.
24
- B.
28
- C.
48
- D.
60
- E.
80
- 2.In the standard (x, y) coordinate plane, what is the equation of the line that passes through the origin and the point (3, 4)?
- A.
Y = 1/4x + 3/4
- B.
Y = 1/4x - 1/3
- C.
Y = 4/3x
- D.
Y = 1/2x + 3/4
- E.
Y = 9/4x
- 3.For what value of n would the following system of equations have an infinite number of solutions?3a + b = 1212a + 4b = 3n
- A.
4
- B.
9
- C.
16
- D.
36
- E.
48
- 4.What is the slope of the line that is perpendicular to the line determined by the equation 7x + 4y = 11?
- A.
-4
- B.
-7/4
- C.
11/4
- D.
4
- E.
4/7
- 5.
What is the distance in the standard (x, y) coordinate plane between points (0, 1) and (4, 4)?
- A.
A
- B.
B
- C.
C
- D.
D
- E.
E
- 6.In the standard (x, y) coordinate plane, if the x-coordinate of each point on a line is 5 more than half the y-coordinate, what is the slope of the line?
- A.
-5
- B.
-1/2
- C.
1/2
- D.
2
- E.
5
- 7.A system of linear equations is shown below.4y = 3x + 12-4y = -3x - 8Which of the following describes the graph of this system of linear equations in the standard (x, y) coordinate plane?
- A.
Two parallel lines with negative slope
- B.
Two parallel lines with positive slope
- C.
A single line with negative slope
- D.
A single line with positive slope
- E.
Two perpendicular lines
- 8.In the standard (x, y) coordinate plane, if a square has the vertices (-2, -3), (2, -3) and (2, 1), what is the set of coordinates for the final vertex?
- A.
(2, -1)
- B.
(1, -2)
- C.
(-1, 2)
- D.
(-2, -1)
- E.
(-2, 1)
- 9.Given that y - 5 = 1/2x + 1 is the equation of a line, at what point does it cross the x-axis?
- A.
-15
- B.
-12
- C.
1
- D.
4
- E.
6
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