Coordinate Geometry Worksheet

**Page 3**

21.

Find the slope of the line joining the midpoints of the sides $\stackrel{\u203e}{\mathrm{AB}}$ and $\stackrel{\u203e}{\mathrm{CD}}$ of the quadrilateral represented by A(10, 10), B(6, 4), C(18, 12) and D(10, 16).

a. | $\frac{8}{7}$ | ||

b. | $\frac{4}{3}$ | ||

c. | $\frac{7}{6}$ | ||

d. | 1 |

Midpoint of CD = (

Slope of the line joining the midpoints =

Correct answer : (3)

22.

Which has a longer diagonal?

A rectangle ABCD represented byA(0, 0), B(9 , 0), C(9, 12) and D(0, 12) or Square PQRS having P(2, 6) and Q(11, 18).

A rectangle ABCD represented by

a. | Rectangle | ||

b. | Square |

[Distance formula.]

Length of diagonal of PQRS = PR = QS =

[Length of the diagonal of a square =

=

Square has the longer diagonal.

Correct answer : (2)

23.

A parallelogram is represented by P(2, 6), Q(14, 6), R(20, 8) and S(8, 8). If the origin is shifted to the point of intersection of it's diagonals, then what would be the coordinates of P?

a. | (- 9, - 1) | ||

b. | (- 2 , - 6) | ||

c. | (9, 1) | ||

d. | (13, 13) |

New

[Present

New

[Present

The coordinates of the P after shifing the point P is (- 9, - 1)

Correct answer : (1)

24.

How will Jesse go from the Gymnasium to the Basketball Court?

a. | 3 units to the right and then 2 units down | ||

b. | 5 units to the left and then 3 units up | ||

c. | 3 units to the left and then 2 units up | ||

d. | 5 units to the right and then 3 units down |

Correct answer : (3)

25.

Sasha is at the school. How will she go to her house?

a. | 5 units to the right and then 4 units up | ||

b. | 4 units to the right and then 5 units up | ||

c. | 5 units to the right and then 5 units up | ||

d. | 4 units to the right and then 4 units up |

Correct answer : (3)

26.

Danny moved 4 units to the right and 2 units down from his house. Where did he go?

a. | Playground | ||

b. | Chapel | ||

c. | Cafeteria | ||

d. | Outlet |

Correct answer : (3)

27.

Michael was at the playground. He moved 4 units to the right and 1 unit down. Where did he go?

a. | Complex | ||

b. | Recreation Hall | ||

c. | Visitors Parking | ||

d. | Childcare Center |

So, Michael went to the Childcare Center.

Correct answer : (4)

28.

From point D, if Jane moves 4 units up, 5 units to the right, and then 6 units down,where will she reach?

a. | I | ||

b. | K | ||

c. | M | ||

d. | L |

Correct answer : (4)

29.

Which ordered pair tells you the location of the kids park?

a. | (4, 6) | ||

b. | (6, 5) | ||

c. | (6, 4) | ||

d. | (5, 6) |

So, the kids park is located at the point (5, 6).

Correct answer : (4)

30.

At what point is the watch store?

a. | (1, 0) | ||

b. | (1, 1) | ||

c. | (0, 1) | ||

d. | (1, 2) |

So, the watch store is located at the point (0, 1).

Correct answer : (3)