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Home Question Bank Math Geometry Archive 2024 December 12

Geometry Questions from Dec 12,2024

Browse the Geometry Q&A Archive for Dec 12,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( \triangle A B C \) has vertices \( A(1,3), B(2,5) \), and \( C(5,3) \). What are the coordinates of \( B^{\prime} \) after the transformation \( (x, y) \rightarrow(-y, x) \), then translation 1 unit right and 4 units up? II Gegeven het vlak \( V:\left(\begin{array}{l}x \\ y \\ 2\end{array}\right)=\left(\begin{array}{l}1 \\ 0 \\ 0\end{array}\right)+\lambda\left(\begin{array}{c}-1 \\ 1 \\ -1\end{array}\right)+\mu\binom{3}{2} \) a. Geef een normaalvector \( \vec{n} \) van \( V \). b. Stel een vectorvoorstelling op van de loodlijn uit \( O \) op \( V \). c. Stel een vectorvoorstelling op van de loodlijn \( k \) op \( V \) die doc het punt \( P(0,11,3) \) gaat. d. Bereken de coordinaten van het snijpunt \( S \) van \( k \) en \( V \). Quadrilateral \( A B C D \) has coordinates \( A(-2,0), B(0,4), C(4,6) \), and \( D(2,2) \). What are the coordinates of the image of \( A B C D \) after applying the transformation \( (x, y) \rightarrow(-x, y) \) and then applying \( (x, y) \rightarrow(x,-y) \) ? \( B=( \) \( D^{\prime}= \) Point \( B \) has coordinates \( (-8,1) \), what are the coordinates of the point when it is reflected across the \( y \)-axis and then rotated \( 180^{\circ} \) about the origin? A. \( (8,1) \) B. \( (-8,-1) \) C. \( (-8,1) \) D. \( (8,-1) \) The angle bisector of \( \angle A B C \) is \( B P \). If \( m \angle A B P=6 n \), what is \( m \angle A B C \) ? A. 12 B. \( 3 n \) C. \( 12 n \) D. \( 36 n^{2} \) Select all of the following transformations that preserve distanće. A. Reflection over the \( y \)-axis B. \( (x, y) \rightarrow(6 x, 6 y) \) C. Rotation \( 90^{\circ} \) clockwise about the origin D. \( (x, y) \rightarrow(x,-y) \) E. Dilation with scale factor 0.5 centered at the origin F. \( (x, y) \rightarrow(x-8, y+3) \) 3. Identifique, no gráfico ao lado, o eixo de simetria, as raizes, o ponto em que a parábola intersecta o eixo das ordenadas, indicando suas coordenadas, e o vértice e suas coordenadas. 7. Addera vektorerna \( \vec{u}=(3,4) \) och \( \vec{v}=(2,-5) \) Vertex Town and Dimension City are onnected by a straight road which 115.5 km long. The diagram below shows two signposts on this road. Work out the distance between the two signposts. Give your answer in kilometres \( (\mathrm{km}) \) \begin{tabular}{l} Kedudukan Titik terhadap Lingkaran \\ \begin{tabular}{l} 1. \( \begin{array}{l}\text { Tentukan batas-batas nilai } \mathrm{k} \text { agar titik }(2, \mathrm{k}) \text { terletak di luar lingkaran } x^{2}+y^{2}+ \\ 6 x+4 y-93=0 .\end{array} \) \\ \hline\end{tabular}. \\ \hline\end{tabular}
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