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Home Question Bank Math Geometry Archive 2024 December 18

Geometry Questions from Dec 18,2024

Browse the Geometry Q&A Archive for Dec 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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If the volume of a cone is given by \( V = \frac{1}{3} \pi r^{2}h \), derive the formula for the volume of a cylinder using this concept. TS Select the correct answers from each drop-down menu. Complete the steps in the proof that show quadrilateral KITE with vertices \( \mathrm{K}(0,-2), \mathrm{I}(1,2), T(7,5) \), and \( E(4,-1) \) is a kite. Using the distance formula, \( K I=\sqrt{\left(2-(-2)^{2}+(1-0)^{2}\right.}=\sqrt{17}, K E=\square \) \( I T=\square \), and \( T E=\square \) Therefore, KITE is a kite because \( \square \) Find the midpoint of the line segment with the given \( 9)(-7,1),(-5,9) \) Find the distance between each pair of points. necessary. 7) \( (5,-7),(7,7) \) 2. Tentukan persamaan lingkaran yang melalui titik potong \( L \equiv x^{2}+y^{2}-2 x-y-6=0 \) dan \( g \equiv 2 x-y-1=0 \) dan juga melalui titik \( \quad \mathrm{A}(1,0) \) 1. Diketahui lingkaran K dan garis \( g \) yang dinyatakan oleh persamaan \( K \equiv x^{2}+y^{2}+3 x-2 y-10=0 \) \( g \equiv x-2 y-1=0 \) Tentukan persamaan lingkaran yang menyinggung lingkaran \( K \) dengan titik singgungnya adalah titik potong lingkaran \( K \) dengan sumbu \( x \) dan berpusat pada garis \( g \) \( (3,-2) \) and parallel to the line \( 2 x-3 y=-3 \) 5. In Triangle \( M N O, \angle N \) is 5 times the measure of \( \angle M \), and \( \angle O \) is 4 times the measure of \( \angle M \). Find the midpoint \( M \) of the line segment joining the points \( P=(3,5) \) and \( Q=(7,-7) \). In the figure on the right, assume that the distance between adjacent dots in a row or column is 1 unit. Determine the area of the figure.
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