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Hogar Banco de preguntas Matemáticas Geometría Archive 2024 December 19

Geometry Questions from Dec 19,2024

Browse the Geometry Q&A Archive for Dec 19,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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What is the reason for statement 3 in this proof? \( \begin{array}{l}\text { A. definition of angle bisector } \\ \text { B. Alternate Interior Angles Theorem } \\ \text { C. Corresponding Angles Theorem } \\ \text { D. Corresponding angles of congruent triangles are congruent. }\end{array} \) 32. Los ángulos internos de un poligono regular suman \( 1440^{\circ} \). ¿Cuántos lados tiene el pollgono? Label the midpoint of PQ as point S , the midpoint of \( \overline{\mathrm{QR}} \) as point T , and the midpoint of \( \overline{\mathrm{RP}} \) as point U . Next, draw \( \overline{\mathrm{PT}}, \overline{\mathrm{QU}} \), and \( \overline{\mathrm{RS}} \). Which statements are true? \( \square \overline{\mathrm{QU}} \cong \overline{\mathrm{RS}} \) \( \square \quad \mathrm{m} \angle \mathrm{P}+\mathrm{m} \angle \mathrm{Q}+\mathrm{m} \angle R=180^{\circ} \) \( \square \quad \) The sum of the lengths of \( \overline{\mathrm{QU}} \) and \( \overline{\mathrm{RS}} \) is equal to the length of \( \overline{\mathrm{PT}} \). \( \square \quad \overline{\mathrm{PT}}, \overline{\mathrm{QU}} \), and \( \overline{\mathrm{RS}} \) intersect at the same point. \( \square \mathrm{m} \angle \mathrm{Q}=\mathrm{m} \angle \mathrm{R} \) Select the correct answer. Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a building that is 22 meters high with one of the radios and stands directly above the building's entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter? A. 50 meters B. 55 meters C. 62 meters D. 72 meters (187) Un settore circolare ha l'area di \( 47,1 \mathrm{~cm}^{2} \mathrm{e} \) appartiene a un cerchio il cui raggio è di 5 cm . Calcola: - l'area del cerchio; - l'ampiezza dell'angolo al centro; - la lunghezza dell'arco corrispondente. In un settore circolare di area \( 140 \pi \mathrm{~cm}^{2} \) l'an- golo al centro misura \( 56^{\circ} \). Determina l'area di un settore appartenen- te allo stesso cerchio il cui angolo al centro misura \( 32^{\circ} \). 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. A cylinder has a radius of 5 cm and a height of 10 cm. Calculate its lateral surface area. Даны треугольники \( A B C \) и \( A_{1} B_{1} C_{1} \), у которых \( \angle A=\angle A_{1},[A B] \equiv\left[A_{1} B_{1}\right],[B C] \equiv\left[B_{1} C_{1}\right], \mathrm{m}(\angle C)=80^{\circ} \), а угол \( C_{1} \) - тупой. Найдите \( \mathrm{m}\left(\angle C_{1}\right) \). 28 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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