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Home Question Bank Math Geometry Archive 2024 December 21

Geometry Questions from Dec 21,2024

Browse the Geometry Q&A Archive for Dec 21,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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In \( \triangle A B C, m \angle A C B=90^{\circ}, C D \perp A B \) and \( m \angle A C D=45^{\circ} \). Find \( C D \), if \( B C=3 \) in. Найдите площадь ромба \( A B C D \), если его периметр равен 56 , а величина угла \( A B C \) равна \( 30^{\circ} \). What is the formula used to calculate the volume of a pyramid? Exercice 2 1. Définir un losange. 2. Donner les propriétés communes entre un losange et un parallélogramme. 3. Donner les propriétés qui se trouvent dans un losange et ne se trouvent pas dans un parallélogramme. TEOREMA DE PITÁGORAS \( \begin{array}{l}\text { 16. ¿A qué altura llega una escalera de } 5 \text { metros de longitud en un muro vertical, sl su ple está a } 2 \text { metros, } \\ \text { del muro? }\end{array} \) 11. Начертите прямую \( M N \) и пересекающий сё луч \( E F \). Обозначьте іх точку пересечения через \( O \). Запишите все лучи с началом в точке \( O \). 4. При каком значении \( \lambda \) прямые \( \ell_{1}: \frac{x-6}{1}=\frac{y}{2}=\frac{z+1}{1} \) и \( \ell_{2}: \frac{x-6}{1}=\frac{y-4}{4}=\frac{z-\lambda}{0} \) пересекаются? Найти точку пересечения. Use the diagonals to determine whether a parallelogram with vertices \( P(-4,0), Q(0,4), R(4,0) \), and \( S(0,-4) \) is a rectangle, rhombus, or square. Give all the names that apply. \( P R \neq Q S \), so \( P Q R S \) is not a rectangle or a sque The slope of \( \overline{P R}=1 \), and the slope of \( \overline{Q S}=0 \), is not a rhombus. \( P R=Q S \), so \( P Q R S \) is a rectangle or a square. The slope of \( \overline{P R}=0 \), and the slope of \( \overline{Q S} \) is undefined, so \( \overline{P R} \perp \overline{Q S} . P Q R S \) is a square. \( P R \neq Q S \), so \( P Q R S \) is not a rectangle or a sque The slope of \( \overline{P R}=1 \), and the slope of \( \overline{Q S}=2 \), \( P Q R S \) is not a rhombus. \( P R=Q S \), so \( P Q R S \) is a rectangle or a square. The slope of \( \overline{P R}=1 \), and the slope of \( \overline{Q S}=2 \), \( P Q R S \) is not a rhombus. \( P Q=Q R=R S=S F \) so \( P Q R S \) is square. Use the diagonals to determine whether a parallelogram with vertices \( P(-4,0), Q(0,4), R(4,0) \), and \( S(0,-4) \) is a rectangle, rhombus, or square. Give all the names that apply. \( P R \neq Q S \), so \( P Q R S \) is not a rectangle or a squé The slope of \( \overline{P R}=1 \), and the slope of \( \overline{Q S}=0 \), is not a rhombus. \( P R=Q S \), so \( P Q R S \) is a rectangle or a square. The slope of \( \overline{P R}=0 \), and the slope of \( \overline{Q S} \) is undefined, so \( \overline{P R} \perp \overline{Q S} . P Q R S \) is a square. \( P R \neq Q S \), so \( P Q R S \) is not a rectangle or a squé The slope of \( \overline{P R}=1 \), and the slope of \( \overline{Q S}=2 \), \( P Q R S \) is not a rhombus. Explique como a área da seção transversal de um cilindro se relaciona com seu volume e forneça uma fórmula para calcular o volume do cilindro.
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