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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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Setect the correct answer The points \( \mathrm{D}(-2,2) . \mathrm{E}(2,5) \), and \( \mathrm{F}(5,1) \) form \( \triangle \mathrm{DEF} \) in the coordinate plane What condition verities that the triangle is a right ingangle? A. Two of the sides of the triangle are equal B. The product of the slopes of two of the sides is 1 C. The product of the slopes of two of the sides is -1 D. Three of the sides of the triangle are equal a. Construct the perpendicular bisector of the given segment (max 2 points) 31-40 다음 입체의 부피를 구하여라. 35. 좌표평면들과 평면 \( 2 x+y+z=4 \) 로 둘러싸인 사면체 40. 원기둥 \( x^{2}+y^{2}=r^{2} \) 과 \( y^{2}+z^{2}=r^{2} \) 에 의해 유계된 입체 Para trabajar on grupos En el triángulo isóscolos \( A B C \) : - Ubica ol punto medio do los lados \( A B \) (punto D) y BC (punto E) - En el cuadrilatoro ADEC, ubica los puntos modios do cada uno do sus lados y únolos: ¿qué tipo de cuadrilátora se forma con dichos puntos modios como vérticos? 19. Израчунај површину кочке ако је: а) дужина њене ивице 6 cm; 6) површина једне њене стране 5 cm \begin{tabular}{l|l} A 11-foot ladder is leaning \\ against a building, with the base \\ of the ladder 3 feet from the \\ building. How high up on the \\ building will the top of the ladder \\ reach? & \( \begin{array}{l}\text { The ladder will reach } \\ \text { ft high up on the building. } \\ \text { (Simplify your answer. } \\ \text { Type an exact answer, } \\ \text { using radicals as } \\ \text { needed.) }\end{array} \)\end{tabular} Use the Pythagorean Theorem and the square root property to solve the following problem. Express your answer in simplified radical form. Then find a decimal approximation to the nearest tenth. A rectangular park is 18 miles long and 9 miles wide. How long is a pedestrian route that runs diagonally across the park? In simplified radical form, the pedestrian route is \( \square \) miles long. 45. 타원포물면 \( x^{2} / 4+y^{2} / 9+z=1 \) 아래에 놓이고 직사각형 \( R \) \( =[-1,1] \times[-2,2] \) 위에 놓인 입체의 부피를 구하여라.
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