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Home Question Bank Math Geometry Archive 2025 January 13

Geometry Questions from Jan 13,2025

Browse the Geometry Q&A Archive for Jan 13,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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13. If \( A B C D \) is a parallelogram, which statement would prove that \( A B C D \) is a rectangle? (Hint: draw a picture) 9 A boy flies a model aeroplane on the end of a wire 10 m long. If he keeps the wire horizontal, how far does his aeroplane fly in one revolution? If the aeroplane described in question 9 takes 1 second to fly 10 m , how long does it take to make one complete revolution? If the aeroplane has enough power to fly for 1 minute, how many turns ca make? A boy flies a model aeroplane on the end of a wire 10 m long. If he keeps the wire horizontal, how far does his aeroplane fly in one evolution? How many degrees are in a right angle? A square sheet of metal has sides of length 30 cm . A quadrant (one quarter of a circle) of radius 15 cm is cut from each of the four corne Sketch the shape that is left and find its perimeter. A square sheet of metal has sides of length 30 cm . A quadrant (one quarter of a circle) of radius 15 cm is cut from each of the four corn Sketch the shape that is left and find its perimeter. A boy flies a model aeroplane on the end of a wire 10 m long. If he candoil cateto su cui e appoggiata. 32 In un triangolo rettangolo i cateti sono uno i \( \frac{28}{45} \) dell'altro e la loro somma è 146 cm . Calcola il perimetro e l'area del triangolo. A cylindrical tin has a radius of 2 cm . What length of paper is needed to put a label on the tin if the edges of the paper just meet? (9) A sector of a circle of radius 12 cm has an area of \( 150 \mathrm{~cm}^{2} \). Find a the angle which its arc subtends at the centre of the circle, to the nearest degree b the length of the arc of the sector c the volume of the cone obtained by folding the sector so that its arc is the boundary of the circular base of the cone. 1- ABC un triangle. On considère les points P et Q tels que \( : \overrightarrow{\mathrm{AP}}=\overrightarrow{\mathrm{BC}} \) et \( \overrightarrow{\mathrm{CB}}=\overrightarrow{\mathrm{AQ}} \) Démontre que les points \( \mathrm{A}, \mathrm{P} \) et Q sont alignés. \( \mathrm{M}, \mathrm{N} \) et P sont trois points non alignés. \( 2- \) On considère le points A et B tels que: \( \overrightarrow{\mathrm{PA}}=\overrightarrow{\mathrm{PM}}-2 \overrightarrow{\mathrm{PN}} \) et \( \overrightarrow{\mathrm{PB}}=\frac{1}{2} \overrightarrow{\mathrm{PM}}-\overrightarrow{\mathrm{PN}} \) Démontre que les points \( \mathrm{A}, \mathrm{B} \) et P sont alignés. Démontrer le parallélisme de droites
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