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Home Question Bank Math Geometry Archive 2025 January 22

Geometry Questions from Jan 22,2025

Browse the Geometry Q&A Archive for Jan 22,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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19 Mark for Review Triangle \( Q R S \) is similar to triangle \( F G H \) such that \( Q \), \( R \), and \( S \) correspond to \( F, G \) and \( F \). respectively. Each side of triangle \( F G H \) has \( \frac{1}{4} \) the length of its corresponding side in triangle \( Q R S \). In triangle \( F G H \), the measure of angle \( F \) is \( 35^{\circ} \) the measure of angle \( Q \) is \( 8^{\circ} \), and \( F G=a \). In friangle \( Q R S \), the measure of angle \( Q \) is \( b^{\circ} \) and \( Q R=20 \). What is the value of \( a+b \) ? Aufgaben Berechnen Sie die Abstände der Punk a) \( E: 2 x_{1}-2 x_{2}+x_{3}=8 ; A(9|-3| 11) \), b) \( E: 2 x_{1}-10 x_{2}+11 x_{3}=0 ; A(9|-19| 22) \) \( 5 \mathrm{~A} \quad \) Et kvadrat har et areal på \( 49 \mathrm{~cm}^{2} \) Hvor lange er hver side? \( 5 \mathrm{~A} \quad \) Et kvadrat har et areal på \( 49 \mathrm{~cm}^{2} \). Hvor lange er hver side? 1 Berechnen Sie die Abstände der Punkte \( A, B \) und \( C \) von der Ebene \( E \). a) \( E: 2 x_{1}-2 x_{2}+x_{3}=8 ; A(9|-3| 11), B(2|10| 6), C(4|2| 17,5) \) b) \( E: 2 x_{1}-10 x_{2}+11 x_{3}=0 ; A(9|-19| 22), B(5|1| 0), C(2|1| 21) \) 2. If the points \( (3, k),(k, 1) \) and \( (6,-1) \) are collinear, then determine the value(s) of k . Dans l'espace rapporté à un repère \( (\mathrm{O} ; \vec{i}, \vec{j}, \vec{k}) \), on considère les points \( \mathrm{A}(1 ; 0 ; 2), \mathrm{B}(2 ; 1 ; 0), \mathrm{C}(0 ; 1 ; 2) \) et le droite \( \Delta \) dont une représentation paramétrique est : \[ \Delta\left\{\begin{array}{l}\nx=1+2 t \\ y=-2+t, t \in \mathbb{R} . \\ z=4-t \end{array}\right. \] 1. Parmi les points suivants, lequel appartient à la droite \( \Delta \) ? Réponse \( \mathrm{A}: \mathrm{M}(2 ; 1 ;-1) \); Réponse C : \( \mathrm{P}(-3 ;-4 ; 2) \); Réponse \( \mathrm{B}: \mathrm{N}(-3 ;-4 ; 6) \); Réponse \( \mathrm{D}: \mathrm{Q}(-5 ;-5 ; 1) \). In \( \triangle P Q R, P Q=4 \mathrm{~cm}, P R=8 \mathrm{~cm} \) and \( R T=6 \) cm . Find (i) the area of \( \triangle P Q R \) (ii) the length of QS. Диагонали ромба раниы 4 см и 20 см. Найдите сторону ромбаОснования раннобожой транеции ранан 18 cs и 30 cs , а её божоная сторона \( -2 \sqrt{34} \mathrm{~cm} \). Найдите диагоналн. трапеции. In \( \triangle P Q R, P Q=4 \mathrm{~cm}, P R=8 \mathrm{~cm} \) and \( R T=6 \) cm . Find (i) the area of \( \triangle P Q R \) (ii) the length of \( Q S \).
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