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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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EXERCICE :03 (7pts) - Soit \( A B C \) un triangle tel que: \( A \hat{B C}=80^{\circ} \) et \( A \bar{C} B=60^{\circ} \mathrm{N} \) un point de. (BC)tel que. Cle milicu de segment [BNL. la droite (D) la médiatrice de [BN]. Soit M un point de (D) tel que.A.E[BM] 1. Construire la figure 115 ptos 2. Montre que \( \mathrm{MB}=\mathrm{MN} \) - (Tpts) 3. Calculer BMC: \( (1,5) \) 4. Deduire la mesure de \( M N B \) alpw - Soit EEH un triangle rectangle enF: 5. Construire O le centre du cercle inscrit du triangle EFH al 15 ptra 5. Calcola la misura dei lati perpendicolari di un triangolo rettangolo, sapendo che uno è la metà dell'altro e che l'area è \( 49 \mathrm{dm}^{2} \). ABC est un triangle et M un point quelconque du plan. 1. Démontrer que \( \overrightarrow{\mathrm{V}}=\overrightarrow{\mathrm{MA}}+2 \overrightarrow{\mathrm{MB}}-3 \overrightarrow{\mathrm{MC}} \) est indépendant de M 2. Soit G le point tel que \( \overrightarrow{B G}=\vec{V} \); Montrer que G est le barycentre du système \( \{(A, 1) ;(B, 3) ;(C,-3 \) 3. La droite (BG) coupe ( AC\( ) \) en un point I ; établis que \( \overrightarrow{I A}=3 \overrightarrow{I C} \). There are two circles and a triangle in a plane. What is the maximum number of intersection points those figures can have? There are two circles and a triangle in a plane. What is the maximum number of intersection points those figures can have? اشرح العلاقة بين مقاطع المجسمات الثلاثية الأبعاد وحجمها. d) An Object of height 3 cm is placed 5 m from a converging mirror of focal length 3 cm , Using Scale of 1 cm : Innit sketch a ray diagram of the image formed. From the sketch determine (i) Image distance (ii) Image height 13. A line from the top of a cliff to the ground just passes over the top of a pole 15 m high. The line meets the ground at a point 21 m from the base of the pole. If it is 91 m away from this point to the base of the cliff. How high is the cliff? 13. A line from the top of a cliff to the ground just passes over the top of a pole 15 m high. The line meets the ground at a point 21 m from the base of the pole. If it is 91 m away from this point to the base of the cliff. How high is the cliff? 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 \( m \angle 4=67^{\circ} \)
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