Coordinate Geometry I - Ambitious

Question 1: Plot and connect the following points:

A (- 1, - 1), B (2, - 1), C (2, 2)

. Calculate the area of the figure

A

3

B

6

C

4.5

D

9

Question 2: Plot and connect the following points:

A (- 1, - 1), B (- 1, 2), C (2, 2), D (2, - 1)

. Calculate the area of the figure

A

8

B

9

C

16

D

4

Question 3: Find the distance between the points

A (- 2, 1)

and

B (5, - 1)

A

5

B

6.76

C

6.33

D

7.28

Question 4: Find the distance between the points

A (- 3, - 2)

and

B (8, 3)

A

11.05

B

7.07

C

5.08

D

12.08

Question 5: Plot and connect the following points

A (1, 2), B (- 2, - 1), C (1, - 4), D (4, - 1)

. Calculate the area of the figure

A

3 \sqrt{2}

B

4 \sqrt{5}

C

20

D

18

Question 6: Find the area of a triangle formed by the

x

-axis, the line defined by

y = x

and the second line defined by

y = - x + 6

A

18

B

6

C

9

D

12

Question 7: Find the distance between

A (- 4, 5)

and

B (1, - 4)

A

10.3

B

9.49

C

11

D

8.76

Question 8: Find the midpoint between

A (3, 2)

and

B (- 1, - 2)

A

(0, 1)

B

(1, 2)

C

(1, 0)

D

(2, 1)

Question 9: Find the point

B

if the point

M (4, 4)

is the midpoint between

A (0, 7)

and

B

A

B (9, 0)

B

B (7, 2)

C

B (8, 1)

D

B (7, 0)

Question 10: Find the equation of a straight line going through the points

A (4, 2)

and

B (- 2, 1)

A

y = \frac{1}{6} x + 1 \frac{1}{3}

B

y = \frac{5}{6} x + 1 \frac{1}{6}

C

y = \frac{1}{3} x + 1

D

y = \frac{2}{3} x + \frac{5}{6}

Test: Coordinate Geometry I - Ambitious

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