Coordinate Geometry Worksheet

**Page 6**

51.

Find the location of the vertex D, if ABCD forms a square.

a. | (6, 6) | ||

b. | (6, 3) | ||

c. | (3, 3) | ||

d. | (3, 6) |

If ABCD forms a square, then the

From the above graph, the vertex D is (3, 6).

So, the location of the other vertex D is (3, 6).

Correct answer : (4)

52.

Find the location of the vertex R, if PQRS forms a rectangle.

a. | (6, 8) | ||

b. | (6, 2) | ||

c. | (2, 6) | ||

d. | (8, 6) |

If PQRS forms a rectangle, then the

From the above graph, the vertex R is (6, 8).

So, the location of the vertex R is (6, 8).

Correct answer : (1)

53.

Which is the location of the vertex N, if KLMN is a square?

a. | (- 9, 9) | ||

b. | (9, - 9) | ||

c. | (8, 9) | ||

d. | (9, 9) |

If KLMN forms a square, then the

From the above graph, the vertex N is (9, 9).

So, the location of the vertex N is (9, 9).

Correct answer : (4)

54.

Identify the relationship between the coordinates of the vertices P and Q.

a. | P and Q have same $y$-coordinate | ||

b. | $y$-coordinate of P is 2 units less than $y$-coordinate of Q. | ||

c. | $x$-coordinate of P is 2 units more than $x$-coordinate of Q. | ||

d. | P and Q have same $x$-coordinate |

As the second number in the ordered pairs of P and Q are same, there is no change in their

The relationship between the coordinates of the vertices P and Q is, both have same

Correct answer : (1)

55.

Identify the relationship between the coordinates of the vertices C and D.

a. | Both have same $x$-coordinate | ||

b. | $x$-coordinate of C is 4 more than $x$-coordinate of D | ||

c. | $y$-coordinate of C is 4 less than $y$-coordinate of D | ||

d. | Both have same $y$-coordinate |

As the first number in the ordered pairs of C and D are same, there is no change in their

The relationship between the coordinates of the vertices C and D is, both have same

Correct answer : (1)

56.

How far is the Cafeteria from the Lake?

a. | 4 units | ||

b. | 5 units | ||

c. | 3 units | ||

d. | 6 units |

The length of a vertical line segment on a coordinate plane equals the difference between the y-coordinates.

The Cafeteria is located on the ordered pair (4, 2) and the Lake is on the ordered pair (4, 7).

So, the distance between the Cafeteria from the Lake = 7 - 2 = 5.

[Difference between the

The Cafeteria is 5 units far from the Lake.

Correct answer : (2)

57.

Find the distance between the Playground and the Tenniscourt.

a. | 5 units | ||

b. | 3 units | ||

c. | 4 units | ||

d. | 2 units |

Correct answer : (2)

58.

Find the length of the line segments joining the points A(7, 4) and B(9, 4).

a. | 20 units | ||

b. | 16 units | ||

c. | 9 units | ||

d. | 2 units |

Correct answer : (4)

59.

Find the length of the line segments joining the points A(9, 2) and B(13, 2).

a. | 4 units | ||

b. | 24 units | ||

c. | 22 units | ||

d. | 13 units |

Correct answer : (1)

60.

Find the length of the line segments joining the points M(- 2, 3) and N(- 2, 5).

a. | 2 units | ||

b. | 5 units | ||

c. | 7 units | ||

d. | 3 units |

Correct answer : (1)