SSAT Upper Level Math : Coordinate Geometry

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

Example Question #11 : Circles

Which of the following is the equation of a circle with center at the origin and circumference  ?

Possible Answers:

None of the other responses gives the correct answer.

Correct answer:

None of the other responses gives the correct answer.

Explanation:

The standard form of the equation of a circle is 

,

where the center is  and the radius is 

 

The center of the circle is the origin, so .

The equation will be

for some .

The circumference of the circle is , so

The equation is , which is not among the responses.

Example Question #3 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture8

Possible Answers:

B

C

A

D

Correct answer:

D

Explanation:

To get to , move right along the x-axis by , then move up on the y-axis by .

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

 

Example Question #312 : Geometry

Which point best represents the coordinates ?

Picture1

Possible Answers:

D

C

A

B

Correct answer:

A

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

To get to , move left on the x-axis by , then move up on the y-axis by .

Example Question #313 : Geometry

Which point best represents the coordinate ?

Picture2

Possible Answers:

C

B

A

D

Correct answer:

D

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

To get to , only move up by  on the y-axis. Do not move along the x-axis because the x-coordinate is .

Example Question #541 : Ssat Upper Level Quantitative (Math)

Which point best represents the coordinate ?

Picture3

Possible Answers:

D

A

C

B

Correct answer:

C

Explanation:

To get to , move right on the x-axis by  then move up on the y-axis by .

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

 

Example Question #2 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture4

Possible Answers:

D

A

C

B

Correct answer:

A

Explanation:

To get to , move left on the x-axis by  then move down the y-axis by .

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

 

Example Question #231 : Coordinate Plane

Which point best represents the coordinate ?

Picture5

Possible Answers:

A

C

B

D

Correct answer:

B

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

To get to , move right on the x-axis by , then move down on the y-axis by .

Example Question #541 : Ssat Upper Level Quantitative (Math)

Which point best represents the coordinate ?

Picture7

Possible Answers:

A

B

D

C

Correct answer:

B

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis.

To get to , move right on the x-axis by  then move down on the y-axis by .

Example Question #261 : Coordinate Geometry

Which point best represents the coordinate ?

Picture9

Possible Answers:

D

C

B

A

Correct answer:

D

Explanation:

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.

To get to , move left on the x-axis by , then move up on the y-axis by .

Example Question #12 : How To Graph An Ordered Pair

Which point best represents the coordinate ?

Picture10

Possible Answers:

D

C

B

A

Correct answer:

C

Explanation:

To get to , move left on the x-axis by , then down on the y-axis by .

The sign in front of each number represents which direction to go on the x or y-axis starting at the origin . If the number is positive you go right on the x-axis or up on the y-axis. If the sign is negative then you move to the left on the x-axis or down on the y-axis. The first term in the ordered pair is the movement in the x direction and the second point is the movement in the y direction.

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