- This is an assessment test.
- To draw maximum benefit, study the concepts for the topic concerned.
- Kindly take the tests in this series with a pre-defined schedule.

- This is an assessment test.
- To draw maximum benefit, study the concepts for the topic concerned.
- Kindly take the tests in this series with a pre-defined schedule.

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Congratulations - you have completed *Geometry and Mensuration: Level 1 Test 5*.You scored %%SCORE%% out of %%TOTAL%%.You correct answer percentage: %%PERCENTAGE%% .Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1 |

An angle is equal to 1/3 of its supplement. Find its measure.

A | 60 degrees |

B | 80 degrees |

C | 90 degrees |

D | 45 degrees |

Question 1 Explanation:

$ \displaystyle \begin{array}{l}\operatorname{Re}quired\,\,angle\,\,x=\frac{1}{3}\left( 180-x \right)\\4x=180\\x={{45}^{0}}\end{array}$

Question 2 |

In ΔABC, ∠BAC= 90 degrees and AB= 1/2BC. Then the measure of ∠ACB is:

A | 60 degrees |

B | 30 degrees |

C | 45 degrees |

D | 15 degrees |

Question 2 Explanation:

Question 3 |

How many sides a regular polygon has with its interior angle eight times its exterior angle?

A | 16 |

B | 24 |

C | 18 |

D | 20 |

Question 3 Explanation:

Let the interior angle be x,

Thus, x= 8(180-x)

=> 9x= 8(180) => x = 160

The exterior angle = 20^{o}

The number of sides=360/20 = 18

Thus, x= 8(180-x)

=> 9x= 8(180) => x = 160

The exterior angle = 20

The number of sides=360/20 = 18

Question 4 |

In a quadrilateral ABCD, ∠B= 90 degrees and AD^{2} = AB^{2} + BC^{2} + CD^{2}, then ∠ACD is equal to

A | 90 degrees |

B | 60 degrees |

C | 30 degrees |

D | None of these |

Question 5 |

If the lengths of the three sides of a triangle are 6 cm, 8 cm and 10 cm, then the length of the median to its greatest side is.

A | 8 cm |

B | 6 cm |

C | 5 cm |

D | 4.8 cm |

Question 5 Explanation:

Now since BD = median AD= BC.

Now since 8^{2}+6^{2}=10^{2}

The triangle is a right angled triangle (right angle at B)

Thus BD = AD=BC=1/2 x 10 =5 cm

Now since 8

The triangle is a right angled triangle (right angle at B)

Thus BD = AD=BC=1/2 x 10 =5 cm

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