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Ninth Grade (Grade 9) Coordinate Geometry Questions

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Grade 9 Coordinate Geometry

Which ordered pair is located in the second quadrant of the coordinate plane?

(3,2)
(-3,2)
(3,-2)
(-3,-2)

Grade 9 Coordinate Geometry

In which quadrant is point L?

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Line segment

$bar (AB)$ has endpoints (-14, -3), (0, 18). What are the coordinates of the point C, which lies on

$bar(AB)$ , such that

$bar (AC)$ is

$2/7$ of

$bar(AB)$ ?

(35, 70.3)
(-7, 7.5)
(-10, 3)
(-6, 5)

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(0,6)$ and

$B(3,-3)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 1:2.

$(-3,15)$
$(0,2)$
$(2,0)$
$(1,3)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.5

Which of the following is the equation of a line that is perpendicular to y = -2x - 3 and passes through the point (-3, 3)?

$y=2x+4$
$y=-2x+ 9/4$
$y=1/2x+ 9/2$
$y=-1/2x+ 9/4$

Grade 9 Coordinate Geometry

What is the distance between (4,-3) and (-6,-3)?

$20$
$sqrt46$
$10$
$6$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(22,28)$ and

$B(9,7)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 4:9.

$(18,280/13)$
$(-7/5,224/5)$
$(13,175/13)$
$(175/13,13)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(−2,0)$ and

$B(3,5)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 3:2.

$(0,2)$
$(2,0)$
$(1,3)$
$(13,15)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Line segment

$bar (AB)$ has endpoints (-5, -3), (1, 18). What are the coordinates of the point C, which lies on

$bar(AB)$ , such that

$bar (AC)$ is

$2/3$ of

$bar(AB)$ ?

(-4, 7.5)
(-2, 7.5)
(9, 33.3)
(-1, 11)

Grade 9 Coordinate Geometry

A transformation to the parabola that shifts the entire graph up or down but does not affect the shape.

Minimum
Maximum
Vertical Translation
Horizontal Translation

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(1,1)$ and

$B(-13,-12)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 6:7.

$(-5,-6)$
$(-85/13,-6)$
$(-71/13, -5)$
$(-6,-5)$

Grade 9 Coordinate Geometry

What is the x-axis?

The place where the x and y numbers meet on the graph
The second value in an ordered pair that describes the vertical location of a point
The line where y always equals 0

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(-4, -5)$ and

$B(8, 19)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 7:5.

$(3, 9)$
$(9, 3)$
$(1,5)$
$(5,1)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(-7,-8)$ and

$B(4,2)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 1:7.

$(-53/6,-29/3)$
$(-45/8,-27/4)$
$(21/8,3/4)$
$(-53/6,11/3)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(-3,-2)$ and

$B(13,9)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 8:3.

$(113/5,-43/5)$
$(15/11,1)$
$(-63/5,78/5)$
$(95/11,6)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(-3,2)$ and

$B(8,13)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 6:5.

$(5,9)$
$(2,7)$
$(3,8)$
$(8,3)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(4,1)$ and

$B(9,11)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 1:4.

$(3,5)$
$(5,3)$
$(8,9)$
$(7/3, -7/3)$

Grade 9 Coordinate Geometry CCSS: HSG-GPE.B.6

Given line segment

$bar{AB}$ , with endpoints

$A(-1,0)$ and

$B(14,16)$ , find the coordinates of

$P$ such that

$P$ divides

$bar{AB}$ into the ratio 5:2.

$(68/7, 80/7)$
$(24,80/3)$
$(23/7, 32/7)$
$(32/7,23/7)$

Grade 9 Coordinate Geometry

What is the y-axis?

Positive and negative whole numbers and zero
The first value in an ordered pair that describes the horizontal location of a point
The line where x always equals 0

Grade 9 Coordinate Geometry

Write an equation for a line that is perpendicular to the line

$y=2x+7$ .

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Ninth Grade (Grade 9) Coordinate Geometry Questions