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Home Question Bank Math Geometry Archive 2025 January 08

Geometry Questions from Jan 08,2025

Browse the Geometry Q&A Archive for Jan 08,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find the scale factor from the given story problem. \( \begin{array}{l}\text { (2pts.) } 5 \text {. A model of a locomotive is } 3 \text { incheslong. The actual locomotive is } 18 \text { feet long. What is the scale factor of } \\ \text { the model to the actual locomotive? ( } 12 \text { inches }=1 \text { foot) }\end{array} \) 53 calcola la diagonale di un cubo avente lo spi- golo di 10 cm . \( [10 \sqrt{3} \mathrm{~cm}] \) 5. Jada has a scale map of Kansas that fits on a page in her book. The page is 5 inches by 8 inches. Kansas is about 210 miles by 410 miles. Select all scales that could be a scale of the map. (There are 2.54 centimeters in an inch.) (Lesson 1.11 ) (A.) 1 in to 1 mi (B.) 1 cm to 1 km (C.) 1 in to 10 mi (D.) 1 ft to 100 mi (E.) 1 cm to 200 km (F. 1 in to 100 mi (G.) 1 cm to 1000 km Un cubo ha il lato di base di 17 cm . Calcola la misura della sua diagonale e l'area totale. \[ \left[17 \sqrt{3} \mathrm{~cm} ; 1734 \mathrm{~cm}^{2}\right] \] Ein Dreieck hat einen Umfang von 56 cm . Die Seiten b und c sind doppelt so lang wie die Seite a. Berechne die Seitenlängen. 296. Dan je pravokotnik \( A B C D \). Točka: - \( M \) leži na stranici \( A B \), da velja \( |A M|:|M B|=1: 2 \), - \( N \) leži na stranici \( B C \), da velja \( |B N|:|B C|=1: 4 \), - K leži na stranici \( C D \), da velja \( |D K|:|D C|=1: 2 \). V kolikšnem razmerju presečišče daljic \( M N \) in \( K B \) deli daljico \( K B \) ? 35 Soit ABC un triangle de centre de gravité \( G \), le milieu de |BC|. 1. Démontrer que pour tout point M du plan : - \( \overrightarrow{\mathrm{MA}}+\overrightarrow{\mathrm{MB}}+\overrightarrow{\mathrm{MC}}=3 \mathrm{M} \vec{G} \). - \( 2 \overrightarrow{\mathrm{MA}}-\overrightarrow{\mathrm{MB}}-\overrightarrow{\mathrm{MC}}=2 \overrightarrow{I A} \). Ein Dreieck hat einen Umfang von 56 cm . Die Seiten b und c sind doppelt so lang wie die Seite a. Berechne die Seitenlängen. 35 Soit \( A B C \) un triangle de centre de gravité \( G \), le milieu de \( [B C \mid \). 1. Démontrer que pour tout point \( M \) du plan : - \( \overrightarrow{M A}+\overrightarrow{M B}+M C=3 M G \). - \( 2 \overrightarrow{M A}-\overrightarrow{M B}-\overrightarrow{M C}=21 \vec{A} \). If a triangular prism has a base area of 50 square centimeters and a height of 10 centimeters, what is its volume?
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