© 2008  Rasmus ehf  and Jóhann Ísak Pétursson

 Triangles  Test 2

Instructions.

Read each question carefully and choose the answer that you think is most likely to be correct. You can only choose one answer for each question. When you are ready, mark your answers in the spaces on the computer screen and click on the button 'Send answers'. Good luck!

Work the examples and put a check mark by the correct or nearest to correct answer.

   

1.

   Find the angle A.

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Possible answers:

A

20°

B

30°

C

40°

D

50°

   

The line AP is the angle bisector of the angle A.

The line CB is 8 cm.

2.

Find the length, x, of the line segment PB.

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Possible answers:

A

4 cm

B

4¼ cm

C

4½ cm

D

4¾ cm

3.                         Find the angle B.

                             

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Possible answers:

A

20°

B

30°

C

40°

D

50°

4.      Find the area of the shaded quadrilateral in the diagram.

                                   

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Possible answers:

A

1 cm2

B

1¼ cm2

C

1½ cm2

D

1¾ cm2

5.     The sides of a triangle are of length 6 cm, 7 cm and 9 cm. The area of the triangle is 21 cm2. Find the radius R of the triangle’s circumscribed circle.

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Possible answers:

A

4 cm

B

4½ cm

C

5 cm

D

5½ cm

6.      Find the radius of the circumscribed circle in the diagram.

                                   

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Possible answers:

A

14 cm

B

14½ cm

C

15 cm

D

15½ cm

7.      The triangle in the diagram has sides of length 6 cm, 16 cm and 17 cm and an area of 48 cm2. Find the angle A

                               

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Possible answers:

A

20°

B

30°

C

40°

D

50°

8.    The vertices of the triangle ABC have coordinates A = (−10, −6), B = (6, 0) and C = (2, 16). Find the equation of the line that joins the point A to the midpoint of the line segment BC (the median).

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Possible answers:

A

y = x

B

y = x + 2

C

y = x + 4

D

y = x + 6

9.    In the triangle ABC, M1 is the midpoint  of the side AB which has a length of 16 cm, M2 is the midpoint  of the side AC which has a length of 17 cm. and M3 is the midpoint  of the side BC which is also 17 cm in length. Find the length of M1T.

                                         

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Possible answers:

A

3½ cm

B

4 cm

C

4½ cm

D

5 cm

10.    In triangle ABC, AB =16 cm l, AC = 17 cm and BC = 17 cm. Also AX = 10 cm and  AY = 12 cm. Find the length of the line segment CZ.

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Possible answers:

A

6 cm

B

7 cm

C

8 cm

D

9 cm

 

Percentage answered correctly =

Correct answers:

Your answers: