Quadrilaterals

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Q 1. Match the following:

Column I | Column II |
---|---|

(A) | (P) CP = AQ |

(B) | (Q) PAQC is a parallelogram |

(C) | (R) AD = BC |

(D) | (S) PC {tex}\parallel{/tex} AQ |

{tex} ( \mathrm { A } ) - ( \mathrm { P } , \mathrm { Q } , \mathrm { R } , \mathrm { S } ) {/tex}

{tex} ( \mathrm { B } ) - ( \mathrm { P } , \mathrm { S } , \mathrm { R } ) {/tex}

{tex} ( \mathrm { C } ) - ( \mathrm { P } , \mathrm { Q } , \mathrm { R } , \mathrm { S } ) {/tex}

All of the above

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Q 2. Smallest angle of a triangle is equal to two third the smallest angle of a quadrilateral. The ratio of the angles of the quadrilateral is 3 : 4 : 5 : 6. Largest angle of the triangle is twice its smallest angle. What is the sum of second largest angle of the triangle and the largest angle of the quadrilateral ?

160{tex}^\circ{/tex}

180{tex}^\circ{/tex}

190{tex}^\circ{/tex}

170{tex}^\circ{/tex}

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Q 3. The given figure,ABCD is a trapezium in which {tex}\angle{/tex}A= (x + 25){tex}^\circ{/tex}, {tex}\angle{/tex}B = y{tex}^\circ{/tex}, {tex}\angle{/tex}C = 95{tex}^\circ{/tex} and {tex}\angle{/tex}D = (2x +5){tex}^\circ{/tex}. Then the values of x and y are :

x = 50{tex}^\circ{/tex}, y = 85{tex}^\circ{/tex}

x = 45{tex}^\circ{/tex}, y = 85{tex}^\circ{/tex}

x = 40{tex}^\circ{/tex}, y = 90{tex}^\circ{/tex}

x = 92{tex}^\circ{/tex}, y = 60{tex}^\circ{/tex}

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