Quick Answer
SAT coordinate geometry practice questions test quadrants, midpoint, distance, slope, line equations, intercepts, parallel and perpendicular lines, transformations, reflections, coordinate figures, systems of lines, and area on the coordinate plane. This guide includes 70 SAT-style questions that progress from basic ordered-pair skills to line equations, coordinate transformations, polygon area, segment division, and harder mixed geometry models.
What Should You Know Before Practicing Coordinate Geometry?
- Use ordered pairs in the form (x,y).
- Midpoint is found by averaging corresponding coordinates.
- Distance uses √((x₂-x₁)²+(y₂-y₁)²).
- Slope is change in y divided by change in x.
- Parallel lines have equal slopes.
- Perpendicular nonvertical lines have negative reciprocal slopes.
- Reflections and translations follow fixed coordinate rules.
- Coordinate differences can give length, perimeter, and area.
In This Guide – 70 SAT Coordinate Geometry Practice Questions
Start With SAT Math Topic-Wise Practice
Connect coordinate geometry practice with weekly score planning and targeted SAT Math correction.
Download the SAT Prep Guide E-Book
Organize coordinate geometry, slope, and line-equation practice with a clear weekly plan.
Download SAT Prep E-Book GuideWhat Does the SAT Test in Coordinate Geometry Questions?
Students may need to calculate midpoint or distance, write a line equation, analyze slope, identify parallel or perpendicular lines, apply a transformation, or calculate the area of a coordinate figure.
| Skill Area | What It Tests | Questions |
|---|---|---|
| Coordinate basics | Quadrants, midpoint, distance, slope | Q1-Q15 |
| Line equations | Intercepts, parallel and perpendicular lines | Q16-Q30 |
| Transformations | Reflections, translations, figures | Q31-Q45 |
| Applications | Systems, polygons, mixed geometry | Q46-Q70 |
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How Are Coordinate Geometry Basics Tested?
These questions cover quadrants, axes, midpoint, distance, slope, and movement on the coordinate plane.
COORDINATE BASICSEASYQuestion 1
In which quadrant is (4,-3)?
Which choice is correct?
A) I
B) II
C) III
D) IV
Show full solution
Correct answer: D) IV
Positive x and negative y place the point in Quadrant IV.
SAT trap: Check the signs of both coordinates.
COORDINATE BASICSEASYQuestion 2
In which quadrant is (-5,7)?
Which choice is correct?
A) I
B) II
C) III
D) IV
Show full solution
Correct answer: B) II
Negative x and positive y place the point in Quadrant II.
SAT trap: Quadrants depend on coordinate signs.
COORDINATE BASICSEASYQuestion 3
Which point lies on the y-axis?
Which choice is correct?
A) (4,0)
B) (0,-6)
C) (3,5)
D) (-2,7)
Show full solution
Correct answer: B) (0,-6)
Points on the y-axis have x=0.
SAT trap: Do not confuse x=0 with y=0.
COORDINATE BASICSEASYQuestion 4
Which point lies on the x-axis?
Which choice is correct?
A) (0,8)
B) (-5,0)
C) (2,3)
D) (-1,-4)
Show full solution
Correct answer: B) (-5,0)
Points on the x-axis have y=0.
SAT trap: The zero must be the y-coordinate.
COORDINATE BASICSEASYQuestion 5
What is the midpoint of (2,4) and (8,10)?
Which choice is correct?
A) (4,6)
B) (5,7)
C) (6,8)
D) (10,14)
Show full solution
Correct answer: B) (5,7)
Average corresponding coordinates: ((2+8)/2,(4+10)/2)=(5,7).
SAT trap: Average x-values and y-values separately.
COORDINATE BASICSEASYQuestion 6
What is the midpoint of (-6,3) and (4,-5)?
Which choice is correct?
A) (-1,-1)
B) (-2,1)
C) (1,-1)
D) (5,-8)
Show full solution
Correct answer: A) (-1,-1)
((-6+4)/2,(3-5)/2)=(-1,-1).
SAT trap: Be careful when adding negatives.
COORDINATE BASICSEASYQuestion 7
What is the distance between (1,2) and (1,9)?
Which choice is correct?
A) 7
B) 8
C) 9
D) 11
Show full solution
Correct answer: A) 7
The vertical distance is |9-2|=7.
SAT trap: For a vertical segment, subtract y-values.
COORDINATE BASICSEASYQuestion 8
What is the distance between (-3,5) and (6,5)?
Which choice is correct?
A) 3
B) 6
C) 9
D) 11
Show full solution
Correct answer: C) 9
The horizontal distance is |6-(-3)|=9.
SAT trap: For a horizontal segment, subtract x-values.
COORDINATE BASICSEASYQuestion 9
What is the distance between (0,0) and (3,4)?
Which choice is correct?
A) 5
B) 6
C) 7
D) 12
Show full solution
Correct answer: A) 5
√(3²+4²)=5.
SAT trap: Recognize the 3-4-5 triangle.
COORDINATE BASICSEASYQuestion 10
What is the distance between (2,1) and (8,9)?
Which choice is correct?
A) 8
B) 10
C) 12
D) 14
Show full solution
Correct answer: B) 10
√((8-2)²+(9-1)²)=√100=10.
SAT trap: Square both coordinate differences.
COORDINATE BASICSMEDIUMQuestion 11
What is the slope through (1,3) and (5,11)?
Which choice is correct?
A) 1
B) 2
C) 3
D) 4
Show full solution
Correct answer: B) 2
(11-3)/(5-1)=2.
SAT trap: Use the same point order.
COORDINATE BASICSMEDIUMQuestion 12
What is the slope through (-2,6) and (4,-3)?
Which choice is correct?
A) -3/2
B) -2/3
C) 2/3
D) 3/2
Show full solution
Correct answer: A) -3/2
(-3-6)/(4+2)=-9/6=-3/2.
SAT trap: Track negative signs.
COORDINATE BASICSMEDIUMQuestion 13
What is the slope of a horizontal line?
Which choice is correct?
A) -1
B) 0
C) 1
D) Undefined
Show full solution
Correct answer: B) 0
A horizontal line has zero rise.
SAT trap: Vertical and horizontal slopes differ.
COORDINATE BASICSMEDIUMQuestion 14
What is the slope of a vertical line?
Which choice is correct?
A) -1
B) 0
C) 1
D) Undefined
Show full solution
Correct answer: D) Undefined
A vertical line has zero run.
SAT trap: Vertical slope is not zero.
COORDINATE BASICSMEDIUMQuestion 15
The point (x,5) is 6 units right of (-2,5). What is x?
Which choice is correct?
A) 2
B) 4
C) 6
D) 8
Show full solution
Correct answer: B) 4
-2+6=4.
SAT trap: Horizontal movement changes x only.
Build Stronger SAT Coordinate Skills
Connect midpoint, distance, and slope with real SAT Math timing.
How Are Line Equations and Intercepts Tested?
These questions use slope-intercept form, standard form, intercepts, and parallel or perpendicular slopes.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 16
Which equation has slope 3 and y-intercept -2?
Which choice is correct?
A) y=3x-2
B) y=-3x+2
C) y=2x-3
D) y=3x+2
Show full solution
Correct answer: A) y=3x-2
Use y=mx+b.
SAT trap: Read m and b directly.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 17
What is the slope of 2x+y=7?
Which choice is correct?
A) -2
B) -1/2
C) 1/2
D) 2
Show full solution
Correct answer: A) -2
Rewrite as y=-2x+7.
SAT trap: Convert to slope-intercept form.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 18
What is the y-intercept of 3x-2y=12?
Which choice is correct?
A) -6
B) -4
C) 4
D) 6
Show full solution
Correct answer: A) -6
Set x=0: -2y=12, so y=-6.
SAT trap: The y-intercept occurs when x=0.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 19
What is the x-intercept of 4x+2y=16?
Which choice is correct?
A) 2
B) 4
C) 8
D) 16
Show full solution
Correct answer: B) 4
Set y=0: 4x=16.
SAT trap: The x-intercept occurs when y=0.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 20
Which equation passes through (0,5) with slope -2?
Which choice is correct?
A) y=-2x+5
B) y=2x+5
C) y=-2x-5
D) y=5x-2
Show full solution
Correct answer: A) y=-2x+5
The y-intercept is 5.
SAT trap: Use y=mx+b.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 21
A line has slope 4 and passes through (2,3). Which equation is correct?
Which choice is correct?
A) y=4x-5
B) y=4x+3
C) y=2x-1
D) y=-4x+11
Show full solution
Correct answer: A) y=4x-5
3=4(2)+b gives b=-5.
SAT trap: Substitute the point.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 22
Which line is parallel to y=-3x+8?
Which choice is correct?
A) y=3x+1
B) y=-3x-4
C) y=(1/3)x+5
D) y=(-1/3)x+2
Show full solution
Correct answer: B) y=-3x-4
Parallel lines have equal slopes.
SAT trap: Intercepts may differ.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 23
Which line is perpendicular to y=(1/2)x+7?
Which choice is correct?
A) y=2x-3
B) y=-2x+3
C) y=(-1/2)x+3
D) y=(1/2)x-3
Show full solution
Correct answer: B) y=-2x+3
The negative reciprocal of 1/2 is -2.
SAT trap: Change sign and take the reciprocal.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 24
A line parallel to 3x-y=5 has what slope?
Which choice is correct?
A) -3
B) -1/3
C) 1/3
D) 3
Show full solution
Correct answer: D) 3
Rewrite as y=3x-5.
SAT trap: Parallel slopes match.
LINE EQUATIONS AND INTERCEPTSMEDIUMQuestion 25
A line perpendicular to 2x+5y=10 has what slope?
Which choice is correct?
A) -5/2
B) -2/5
C) 2/5
D) 5/2
Show full solution
Correct answer: D) 5/2
The original slope is -2/5; its negative reciprocal is 5/2.
SAT trap: Find the original slope first.
LINE EQUATIONS AND INTERCEPTSHARDQuestion 26
Which equation is a vertical line through x=-4?
Which choice is correct?
A) x=-4
B) y=-4
C) y=-4x
D) x=y-4
Show full solution
Correct answer: A) x=-4
Every point has x=-4.
SAT trap: Vertical lines use x=constant.
LINE EQUATIONS AND INTERCEPTSHARDQuestion 27
Which equation is a horizontal line through y=6?
Which choice is correct?
A) x=6
B) y=6
C) y=6x
D) x=y+6
Show full solution
Correct answer: B) y=6
Every point has y=6.
SAT trap: Horizontal lines use y=constant.
LINE EQUATIONS AND INTERCEPTSHARDQuestion 28
The line through (1,2) and (5,10) is parallel to which equation?
Which choice is correct?
A) y=2x+3
B) y=-2x+3
C) y=(1/2)x+3
D) y=(-1/2)x+3
Show full solution
Correct answer: A) y=2x+3
Its slope is 2.
SAT trap: Compare slopes only.
LINE EQUATIONS AND INTERCEPTSHARDQuestion 29
The line through (-1,4) and (3,2) is perpendicular to which slope?
Which choice is correct?
A) -2
B) -1/2
C) 1/2
D) 2
Show full solution
Correct answer: D) 2
The original slope is -1/2, so the perpendicular slope is 2.
SAT trap: Use the negative reciprocal.
LINE EQUATIONS AND INTERCEPTSHARDQuestion 30
A line through (3,-2) has slope 0. Which equation represents it?
Which choice is correct?
A) x=3
B) y=-2
C) y=3
D) x=-2
Show full solution
Correct answer: B) y=-2
A zero slope means a horizontal line.
SAT trap: Horizontal lines keep y constant.
How Are Transformations and Coordinate Figures Tested?
These questions use reflections, translations, midpoint relationships, and coordinate area or perimeter.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 31
Reflect (3,-4) across the x-axis.
Which choice is correct?
A) (-3,-4)
B) (-3,4)
C) (3,4)
D) (4,3)
Show full solution
Correct answer: C) (3,4)
Across the x-axis, (x,y)→(x,-y).
SAT trap: Only y changes sign.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 32
Reflect (-5,2) across the y-axis.
Which choice is correct?
A) (5,2)
B) (-5,-2)
C) (2,-5)
D) (5,-2)
Show full solution
Correct answer: A) (5,2)
Across the y-axis, (x,y)→(-x,y).
SAT trap: Only x changes sign.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 33
Reflect (4,-1) across the origin.
Which choice is correct?
A) (-4,1)
B) (4,1)
C) (-4,-1)
D) (1,-4)
Show full solution
Correct answer: A) (-4,1)
Across the origin, both signs change.
SAT trap: Change both coordinates.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 34
Translate (2,5) 3 units right and 4 units down.
Which choice is correct?
A) (5,1)
B) (5,9)
C) (-1,1)
D) (-1,9)
Show full solution
Correct answer: A) (5,1)
Add 3 to x and subtract 4 from y.
SAT trap: Right affects x; down affects y.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 35
Translate (-3,7) 5 units left and 2 units up.
Which choice is correct?
A) (2,9)
B) (-8,9)
C) (-8,5)
D) (2,5)
Show full solution
Correct answer: B) (-8,9)
Subtract 5 from x and add 2 to y.
SAT trap: Left decreases x.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 36
What is the rule for reflection across y=x?
Which choice is correct?
A) (-x,y)
B) (x,-y)
C) (y,x)
D) (-y,-x)
Show full solution
Correct answer: C) (y,x)
Swap the coordinates.
SAT trap: Do not change signs automatically.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 37
Reflect (6,-2) across y=x.
Which choice is correct?
A) (-2,6)
B) (2,-6)
C) (-6,2)
D) (6,2)
Show full solution
Correct answer: A) (-2,6)
Swap x and y.
SAT trap: Use (x,y)→(y,x).
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 38
A rectangle has vertices (0,0),(8,0),(8,3),(0,3). What is its area?
Which choice is correct?
A) 11
B) 22
C) 24
D) 48
Show full solution
Correct answer: C) 24
Area=8×3=24.
SAT trap: Use coordinate differences as side lengths.
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 39
A rectangle has vertices (-2,1),(5,1),(5,6),(-2,6). What is its perimeter?
Which choice is correct?
A) 12
B) 19
C) 24
D) 35
Show full solution
Correct answer: C) 24
Width=7, height=5, so perimeter=24.
SAT trap: Use 2(length+width).
TRANSFORMATIONS AND COORDINATE FIGURESMEDIUMQuestion 40
A square has vertices (1,1),(5,1),(5,5),(1,5). What is its area?
Which choice is correct?
A) 8
B) 16
C) 20
D) 25
Show full solution
Correct answer: B) 16
Side length=4, so area=16.
SAT trap: Find the side length first.
TRANSFORMATIONS AND COORDINATE FIGURESHARDQuestion 41
A triangle has vertices (0,0),(6,0),(0,4). What is its area?
Which choice is correct?
A) 10
B) 12
C) 20
D) 24
Show full solution
Correct answer: B) 12
Area=(1/2)(6)(4)=12.
SAT trap: Use the perpendicular legs.
TRANSFORMATIONS AND COORDINATE FIGURESHARDQuestion 42
A triangle has vertices (2,1),(8,1),(5,7). What is its area?
Which choice is correct?
A) 12
B) 18
C) 24
D) 36
Show full solution
Correct answer: B) 18
Base=6 and height=6, so area=18.
SAT trap: Use vertical distance for height.
TRANSFORMATIONS AND COORDINATE FIGURESHARDQuestion 43
What is the distance from (-4,7) to the y-axis?
Which choice is correct?
A) 4
B) 7
C) 11
D) √65
Show full solution
Correct answer: A) 4
Distance to the y-axis is |x|.
SAT trap: Use the x-coordinate.
TRANSFORMATIONS AND COORDINATE FIGURESHARDQuestion 44
What is the distance from (6,-9) to the x-axis?
Which choice is correct?
A) 6
B) 9
C) 15
D) √117
Show full solution
Correct answer: B) 9
Distance to the x-axis is |y|.
SAT trap: Use the y-coordinate.
TRANSFORMATIONS AND COORDINATE FIGURESHARDQuestion 45
The midpoint of A(2,-1) and B(x,7) is (5,3). What is x?
Which choice is correct?
A) 6
B) 8
C) 10
D) 12
Show full solution
Correct answer: B) 8
(2+x)/2=5, so x=8.
SAT trap: Solve one midpoint coordinate at a time.
Practice More SAT Algebra and Geometry
Build accuracy with line equations, transformations, and coordinate figures.
How Are Intersections and Coordinate Applications Tested?
These questions combine systems of lines, polygon geometry, distance, and segment division.
INTERSECTIONS AND APPLICATIONSHARDQuestion 46
Where do y=2x+1 and y=-x+7 intersect?
Which choice is correct?
A) (1,3)
B) (2,5)
C) (3,4)
D) (4,9)
Show full solution
Correct answer: B) (2,5)
Set the equations equal: 2x+1=-x+7.
SAT trap: Both equations share the intersection point.
INTERSECTIONS AND APPLICATIONSHARDQuestion 47
Where do y=3x-4 and y=x+2 intersect?
Which choice is correct?
A) (2,2)
B) (3,5)
C) (4,8)
D) (5,11)
Show full solution
Correct answer: B) (3,5)
3x-4=x+2 gives x=3 and y=5.
SAT trap: Substitute after finding x.
INTERSECTIONS AND APPLICATIONSHARDQuestion 48
What is the intersection of x=4 and y=-3?
Which choice is correct?
A) (-3,4)
B) (4,-3)
C) (4,3)
D) (-4,-3)
Show full solution
Correct answer: B) (4,-3)
The ordered pair combines x=4 and y=-3.
SAT trap: Write coordinates as (x,y).
INTERSECTIONS AND APPLICATIONSHARDQuestion 49
A line through (2,5) and (6,13) has what y-intercept?
Which choice is correct?
A) -1
B) 1
C) 3
D) 5
Show full solution
Correct answer: B) 1
The slope is 2; 5=2(2)+b gives b=1.
SAT trap: Find slope before intercept.
INTERSECTIONS AND APPLICATIONSHARDQuestion 50
A line with slope -3 passes through (4,10). What is its x-intercept?
Which choice is correct?
A) 10/3
B) 22/3
C) 4
D) 10
Show full solution
Correct answer: B) 22/3
Equation y=-3x+22; set y=0.
SAT trap: The x-intercept may be fractional.
INTERSECTIONS AND APPLICATIONSHARDQuestion 51
A parallelogram has vertices (0,0),(4,0),(6,3),(2,3). What is its area?
Which choice is correct?
A) 8
B) 10
C) 12
D) 18
Show full solution
Correct answer: C) 12
Base=4 and height=3.
SAT trap: Use perpendicular height.
INTERSECTIONS AND APPLICATIONSHARDQuestion 52
A rhombus has diagonals of lengths 8 and 6. What is its area?
Which choice is correct?
A) 12
B) 18
C) 24
D) 48
Show full solution
Correct answer: C) 24
Area=(1/2)(8)(6)=24.
SAT trap: Use full diagonal lengths.
INTERSECTIONS AND APPLICATIONSHARDQuestion 53
A triangle has vertices (-2,0),(4,0),(1,5). What is its area?
Which choice is correct?
A) 10
B) 15
C) 20
D) 30
Show full solution
Correct answer: B) 15
Base=6 and height=5, so area=15.
SAT trap: Use the horizontal base.
INTERSECTIONS AND APPLICATIONSHARDQuestion 54
What is the distance between (-1,-2) and (7,4)?
Which choice is correct?
A) 8
B) 10
C) 12
D) 14
Show full solution
Correct answer: B) 10
√(8²+6²)=10.
SAT trap: Use both coordinate changes.
INTERSECTIONS AND APPLICATIONSHARDQuestion 55
P divides A(0,0) to B(12,8) in the ratio 1:3 from A. What is P?
Which choice is correct?
A) (3,2)
B) (4,2)
C) (6,4)
D) (9,6)
Show full solution
Correct answer: A) (3,2)
P is one-fourth of the way from A to B.
SAT trap: Add the ratio parts.
What Do Hard Mixed Coordinate Geometry Questions Look Like?
These questions combine missing coordinates, line equations, distance equations, diagonals, and coordinate area.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 56
The line through (a,2) and (6,10) has slope 2. What is a?
Which choice is correct?
A) 1
B) 2
C) 3
D) 4
Show full solution
Correct answer: B) 2
8/(6-a)=2, so a=2.
SAT trap: Solve the slope equation.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 57
The midpoint of (x,-4) and (8,6) is (3,1). What is x?
Which choice is correct?
A) -4
B) -2
C) 2
D) 4
Show full solution
Correct answer: B) -2
(x+8)/2=3, so x=-2.
SAT trap: Use the midpoint equation.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 58
A point is 5 units from (1,2) and has the same y-coordinate. Which point works?
Which choice is correct?
A) (6,2)
B) (1,7)
C) (4,6)
D) (-2,-2)
Show full solution
Correct answer: A) (6,2)
The horizontal distance from x=1 to x=6 is 5.
SAT trap: Same y means horizontal movement.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 59
A line is perpendicular to y=-4x+7 and passes through (2,3). Which equation is correct?
Which choice is correct?
A) y=(1/4)x+5/2
B) y=(-1/4)x+7/2
C) y=4x-5
D) y=-4x+11
Show full solution
Correct answer: A) y=(1/4)x+5/2
The perpendicular slope is 1/4; substitution gives b=5/2.
SAT trap: Use the negative reciprocal.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 60
A line parallel to 5x+2y=8 passes through (0,-3). Which equation is correct?
Which choice is correct?
A) y=(-5/2)x-3
B) y=(5/2)x-3
C) y=(-2/5)x-3
D) y=5x-3
Show full solution
Correct answer: A) y=(-5/2)x-3
The original slope is -5/2 and the new intercept is -3.
SAT trap: Parallel lines share slope.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 61
The distance between (x,1) and (2,1) is 7. Which value could x equal?
Which choice is correct?
A) -5
B) -3
C) 5
D) 7
Show full solution
Correct answer: A) -5
|x-2|=7 gives x=9 or -5.
SAT trap: Absolute distance can give two solutions.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 62
A square has diagonal endpoints (0,0) and (6,8). What is the diagonal length?
Which choice is correct?
A) 8
B) 10
C) 12
D) 14
Show full solution
Correct answer: B) 10
√(6²+8²)=10.
SAT trap: Use the distance formula.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 63
A square has diagonal length 10. What is its area?
Which choice is correct?
A) 25
B) 50
C) 100
D) 200
Show full solution
Correct answer: B) 50
Area=d²/2=100/2=50.
SAT trap: Diagonal is not side length.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 64
A triangle has vertices (1,1),(7,1),(4,9). What is its area?
Which choice is correct?
A) 18
B) 24
C) 30
D) 48
Show full solution
Correct answer: B) 24
Base=6 and height=8, so area=24.
SAT trap: Use coordinate differences.
HARD MIXED COORDINATE GEOMETRYHARDQuestion 65
The lines y=mx+4 and y=-2x+1 are perpendicular. What is m?
Which choice is correct?
A) -2
B) -1/2
C) 1/2
D) 2
Show full solution
Correct answer: C) 1/2
m(-2)=-1, so m=1/2.
SAT trap: Perpendicular slopes multiply to -1.
What Do Student-Produced Response Questions Look Like?
Enter the requested coordinate value, distance, slope, intercept, or area.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 66
The midpoint of (2,6) and (10,14) has what x-coordinate?
Enter your answer.
Show full solution
Correct answer: 6
The midpoint is (6,10).
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 67
What is the distance between (0,0) and (8,15)?
Enter your answer.
Show full solution
Correct answer: 17
√(8²+15²)=17.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 68
The line through (1,4) and (5,12) has what slope?
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Correct answer: 2
(12-4)/(5-1)=2.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 69
For y=-3x+9, what is the x-intercept?
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Correct answer: 3
Set y=0 and solve.
SAT trap: Enter only the requested numerical value.
STUDENT-PRODUCED RESPONSEMEDIUMQuestion 70
A rectangle with side lengths 9 and 4 has what area?
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Correct answer: 36
9×4=36.
SAT trap: Enter only the requested numerical value.
Common SAT Coordinate Geometry Mistakes
| Mistake | Correction |
|---|---|
| Mixing x and y calculations | Handle corresponding coordinates separately |
| Reversing one slope subtraction | Use the same point order |
| Using equal slopes for perpendicular lines | Use negative reciprocals |
| Confusing diagonal and side length | Use distance and geometric relationships |
Two-Week SAT Coordinate Geometry Study Plan
| Days | Focus |
|---|---|
| 1-3 | Q1-Q15: midpoint, distance, slope |
| 4-7 | Q16-Q30: line equations |
| 8-10 | Q31-Q45: transformations and figures |
| 11-14 | Q46-Q70 and error review |
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