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Home Question Bank Math Geometry Archive 2025 January 02

Geometry Questions from Jan 02,2025

Browse the Geometry Q&A Archive for Jan 02,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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- Soit \( A B C \) un triangle tel que : \( A B C=B 0^{\circ} \) ef \( A C B=60^{\circ} \mathrm{N} \) un point de (BC)tel que C le milieu de segment [BNI. la droite (D) la médiatrice de [BNL. Soit M un point de (D) te que A.E[BM1 1. Construire la figure it 5 ptal 2. Montre que \( \mathrm{MB}=\mathrm{MN} \) (1)(w) 3. Calculer BMC 4. Déduire la mesure de M/BB - Soit EFH un triangle rectangle en E: 5. Construire O le centre du cercle inscrit du triangle EFH ansmu Esercizio 20.2 Verificare che le rette \( r:\left\{\begin{array}{l}y=2+2 t \\ z=-1+t\end{array}\right. \) ed \( s:\left\{\begin{array}{l}x+y-z+3=0 \\ 2 x-y-2 z+1\end{array}\right. \) sono sghembe ed ortogonali. Calcolare la distanza tra di esse e determinate perpendicolare comune. Svolgimento Sostituiamo le equazioni parametriche di \( r \) in \( s \). Otteniamo: \[ \left\{\begin{array}{l}1-t+2+2 t+1-t+3=0 \\ 2-2 t-2-2 t+2-2 t+1=0\end{array}\right. \] che è un sistema imonsibile Allora le rette non sono incidenti. La retta in 2. Complete the two-column proof \( (10 \mathrm{pts}) \) Given \( m \angle 1=47^{\circ}, m \angle 2=42^{\circ}, m \angle 3=72^{\circ} \) Prove \( m \angle 4=67^{\circ} \) a düz xatti üzərində neçə şüa var? \( \begin{array}{llll}\text { A) } 5 & \text { B) } 2 \\ \text { C) } 4 & \text { D) } 6 & & \\ \text { E) } 3 & & \text { a }\end{array} \) Düz xatt űzarində 4 nöqto qeyd olunm Alınan parçaların sayını tapın. \( \begin{array}{lllll}\text { A) } 8 & \text { B) } 6 & \text { C) } 5 & \text { D) } 4 & \text { E) }\end{array} \) Düz xatt üzərinda 6 nöqtə qeyd olunmus Alınan şuaların sayını tapın. \( \begin{array}{lllll}\text { A) } 18 & \text { B) } 12 & \text { C) } 9 & \text { D) } 7 & \text { E) } 6\end{array} \) In una mappa 1: 10000 le dimensioni di un parco rettangolare misurano 10 cm e 30 cm . Qual è l'area reale del parco espressa in \( \mathrm{km}^{2} \) ? that \( \triangle A B C \sim \triangle D E F \). Then find \( x \) and \( y \). \( \begin{array}{ll}\text { a) } \frac{x}{D E}=\frac{A C}{D F} & \text { c) } \angle B \cong y \\ \text { b) a side corresponds to } \overline{C A} & \text { is } x\end{array} \) Given that \( \triangle A B C \sim \triangle D E F \). Then find \( x \) and \( y \). \( \begin{array}{ll}\text { a) } \frac{x}{D E}=\frac{A C}{D F} & \text { c) } \angle B \cong y \\ \text { b) a side corresponds to } \overline{C A} \text { is } x & \end{array} \) Determina la lunghezza reale di una strada che, rappresentata śu una carta in scala \( 1: 500000 \), risulta lunga \( 0,8 \mathrm{~cm} \).
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