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Hogar Banco de preguntas Matemáticas Geometría Archive 2024 December 06

Geometry Questions from Dec 06,2024

Browse the Geometry Q&A Archive for Dec 06,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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3. La ecuación de la recta es: \[ \frac{x}{3}+\frac{y}{a}=1 \] a) Si el punto \( (9,8) \) pertenece a la recta, ¿Cuánto vale la constante " \( a \) ". b) ¿Cuánto valen la pendiente y la ordenada al origen? c) Grafica. Which of the following are the coordinates of a rectangle with a length of 5 units and width of 2 units in the coordinate plane? \( \begin{array}{l}O(-2,-4),(-2,-2),(2,-4),(2,-2) \\ (1,4),(-4,4),(1,6),(-4,6) \\ O \\ (-3,-0),(-7,-2),(-3,-2),(-7,0) \\ (6,-3),(1,0),(6,0)\end{array} \) Identify the true statement. Explain why the statement is true. All isosceles triangles are obtuse triangles. If the base angles each measure less than \( 45^{\circ} \), the vertex angle will measure more than \( 90^{\circ} \). All isosceles triangles are right triangles. The vertensingle in an isosceles triangle can measure \( 90^{\circ} \). All equilateral triangles are obtuse triangles. All angles in an equilateral triangle measure \( 120^{\circ} \). All equilateral triangles are acute triangles. All angles in an equilateral triangle measure \( 60^{\circ} \). Identify the true statement. In an isosceles triangle none of the angles or sides are congruent. In an isosceles triangle at least two sides and two angles are congruent. In an isosceles triangle two angles are congruent but no sides are congruent. In an isosceles triangle at least two sides are congruent but no angles are congruent. Given that polygon \( P Q R S \cong \) polygon \( L M N O \), identify the ngruent corresponding part for \( \angle Q \). \( \angle M \) \( \angle N \) \( \angle O \) \( \angle L \) \( \triangle S T R \cong \triangle L M N, S R=7 b+8 \), and \( L N=11 b-12 \). Find \( b \) and \( S R \). \( b=5 \) and \( S R=43 \) \( b=5 \) and \( S R=67 \) \( b=3 \) and \( S R=43 \) \( b=3 \) and \( S R=67 \) Write the standard form of the equation of the circle with the given center and radius. Center \( (4,8), \mathrm{r}=5 \) Type the standard form of the equation of the circle. \( \square \) (Simplify your answer.) Find the midpoint of the line segment with the given endpoints. \( (-2,-9) \) and \( (-8,-4) \) The midpoint is \( \square \). (Type an ordered pair.) Find the distance between the pair of points \( (5,5) \) and \( (9,9) \). If necessary, express the answer in simplified radical form and then round to two decimal places. The distance between the given points is \( \square \) units. (Simplify your answer. Type an exact answer, using radicals as needed.) Express the distance rounded to two decimal places if the exact simplified answer contains radicals. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The distance between the given points is approximately \( \square \) units. (Type an integer or decimal rounded to two decimal places as needed.) B. The exact simplified form does not contain radicals. While planning a rectangular garden, Mia wanted to know if she had enough fencing. Her garden was going to be 13.5 yards long and 14.875 yards wide. Mia has 52 yards of fencing. Does she have enough? If so, how many yards extra of fencing does she have? If not, how many yards of fencing does she still need to purchase?
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