Geometría
Triángulos, círculos, geometría analítica y demostraciones.
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which side lengths form a right triangle? choose all answers that apply…
B. \(9,40,41\)
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could 12.2 cm, 6.0 cm, and 4.2 cm be the side lengths of a triangle? ch…
B. No
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find the value of x in the isosceles triangle shown below. choose 1 ans…
B. \(x = \sqrt{40}\)
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find the value of x in the triangle shown below. choose 1 answer: a $x …
C. \(x = 13\)
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the bases of cylinder a and cylinder b are circles with the same radius…
\(100\pi\)
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trapezoid abcd is shown below. \\( \\overline { a c } \\) and \\( \\ove…
\(24\)
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emilio is building a wheelchair ramp. the top of the ramp will be 21 ce…
\(241\) centimeters
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4 what is the measure of angle 1? * (10 points) 54 42 46 100
\(34^{\circ}\) (It seems there is a mistake in the original options. Using the correct geometric principle: \(\angle1 = 80^{\circ}-46^{\circ}=34^{\circ}\). If we assume the proble…
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in the diagram, \\( \\overleftrightarrow { f w } \\) and \\( \\overleft…
\(m\angle FXR + m\angle RXQ = 90^{\circ}\)
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4 what is the measure of angle 1? * (10 points) 54 42 46 100
\(34\) (It seems there is a mistake in the original options. Using the exterior angle theorem for \(\triangle GJH\) where \(\angle JHG = 80^{\circ}\) (exterior angle) and \(\angle…
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5 what is the measure of angle 2? * (10 points) 42 54 46 100
42
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in the diagram below, \\( \\angle pqr \\) is inscribed in circle \\( s …
\(25\)
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figure ( a b ^ { prime } c ^ { prime } ) is a dilation of figure ( a b …
\(AB'C'\) 2.
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if \\( \\cot \\theta = \\frac { 5 } { 10 } \\), what is \\( \\sin \\the…
$\frac{10}{\sqrt{125}}$
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if \\( \\tan \\theta = \\frac { 8 } { 15 } \\), what is \\( \\sin \\the…
\(\frac{8}{17}\)
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y = 1. ariel remembers that for any point (x, y) on the parabola, the d…
\(\sqrt{x^{2}+(y - 2)^{2}}\)
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a parabola has focus (-4, 1) and directrix given by the equation y = 5.…
The point \(A(-2,0)\) lies **outside** the parabola because the distance between \(A\) and the focus is **less than** the distance between \(A\) and the directrix.
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if you place a 28 - foot ladder against the top of a 15 - foot building…
The bottom of the ladder is approximately \(23.6\) feet from the bottom of the building.
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a 50 foot ladder is set against the side of a house so that it reaches …
The ladder will reach approximately \(21.8\) feet up the side of the house.
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all segments of the polygon meet at right angles (90 degrees). the leng…
\(46\)
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question if you place a 35 - foot ladder against the top of a 26 - foot…
\(23.4\)
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if you place a 32 - foot ladder against the top of a 23 - foot building…
\(22.2\)
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statement about reflected figures if two sides are parallel in the orig…
- Primera declaración: False - Segunda declaración: True - Tercera declaración: False - Cuarta declaración: False
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in richards neighborhood, poplar street runs directly east to west. map…
Redwood Road runs **east to west**. It is **intersecting** to Maple Way and **perpendicular** to Hanson Avenue.
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refer to the graph. what are the coordinates of the triangle after it i…
B) \(D'(-5, -8), E'(-9, -6)\), and \(F'(-3, -1)\)
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an altitude is drawn from the vertex of an isosceles triangle, forming …
The perimeter of the isosceles triangle is $78.8$ inches.
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a 40 foot ladder is set against the side of a house so that it reaches …
\(17.4\) feet
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4.7 piecewise functions (pp. 217 - 224) graph ( y=left{\begin{array}{ll…
(a) When \(x = 0\), \(y = 3\). (b) When \(x = 5\), \(y=-10\).
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#1.) graph the following equations: x = 5 **y = -6 #2.) the diagram abc…
The coordinates of point \(C\) are \((2,3)\) #### b)
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two angles in a triangle measure 34° and 61°. what is the measure of th…
\(85\)
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pam was told to draw a triangle with side lengths 3 centimeters, 5 cent…
Since \(3<5<9\) and \(3 + 5<9\), Pam cannot draw a triangle with side lengths 3 centimeters, 5 centimeters, and 9 centimeters.
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given: jm ≅ lk, kj ∥ lm, jm ∥ lk prove: △jmk ≅ △lkm given: xv ≅ xz, ∠v …
For the first proof: 2. Alternate - interior angles (because \(JK\parallel LM\) and \(JM\parallel LK\) with transversal \(MK\)) 3. Reflexive property of congruence 4. \(\triangle …
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two students are discussing whose garden has the most area to plant flo…
D. The students need to compare the areas of each garden, because the area of a garden does not depend on the perimeter of the garden.
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ross is trying to remember the formula for the volume of a cylinder. he…
- The area of a circle is \(\pi r^{2}\). - The base of a cylinder is a circle.
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given △abc with parallel lines dividing (overline{ab}) into three congr…
\(\frac{9}{8}\)
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given △abc with parallel lines dividing \\( \\overline { a b } \\) into…
\(\frac{5}{9}\)
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an isosceles right triangle has legs of length x and an area of 72 squa…
\(72=\frac{1}{2}x^{2}\) (the third option)
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given △abc with parallel lines dividing (overline{ab}) into three congr…
\(\frac{1}{3}\)
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enter the coordinates of the point on the unit circle at the given angl…
\((0,-1)\)
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what is the volume of this cylinder in cubic millimeters? 4 mm 9 mm 36π…
\(144\pi\)
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given △abc with parallel lines dividing \\( \\overline { a b } \\) into…
The ratio of the area of trapezoid \(DEGF\) to the area of trapezoid \(FGCA\) is \(\frac{3x}{5x}=\frac{3}{5}\)
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enter the coordinates of the point on the unit circle at the given angl…
\((1,0)\)
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given △abc with parallel lines dividing ab into three congruent segment…
\(\frac{1}{5}\)
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given △abc with parallel lines dividing ab into three congruent segment…
\(\frac{1}{3}\)
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find the area of the rectangle. 4 ft square feet
32
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a. what happens to the area of a circle if its diameter is quadrupled? …
a. The area of the circle is 16 times larger. b. B. The area of the circle increases by 96% c. A. The area of the circle is 25 times larger
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read the sentence. the squirrel who ran in circles around the circumfer…
The squirrel, who ran in circles around the circumference of the tree, chattered angrily at the curious cat.
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given: \\( \\overline { j g } \\cong \\overline { h i }, \\angle j g i …
3. Reflexive Property of Congruence; 4. SAS (Side - Angle - Side); 5. CPCTC (Corresponding Parts of Congruent Triangles are Congruent) ### Second Proof:
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a. what happens to the area of a circle if its diameter is quadrupled? …
a. A. The area of the circle is 16 times larger. b. B. The area of the circle increases by 96%.
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a. what happens to the area of a circle if its diameter is quadrupled? …
A. The area of the circle is 16 times larger.
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find the area of the following figures. a. b. a. the area is 148 cm² (s…
\(374\space m^{2}\)
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a. if the area of a rectangle remains constant but its perimeter increa…
a. B. The difference between the sides is getting bigger b. C. The difference between the sides is getting smaller
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complete parts a and b. a. if triangle abc is similar to triangle def a…
a. \(\frac{1}{7}\) b. \(\frac{1}{49}\)
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19. automotive trades the circumference of each tire on a motor vehicle…
The vehicle will travel approximately \(13.54\) miles.
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13. you can calculate the area of a rectangle by multiplying its length…
Your friend is right. The side length of the square garden \(s=\sqrt{16x^{2}} = 4x\) (since length \(s>0\)). The perimeter of a square \(P = 4s\), so \(P=4\times4x=16x\). There is…
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consider △abc and its dilation, △abc. the center of the dilation is at …
\(A'(-4,-4)\), \(B'(4,-4)\), \(C'(8,-8)\)
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the pythagorean theorem in three d rebecca has a gerbil that lives in a…
\(92.9\) cm (corresponds to the first option \(92.9\) cm)
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find the distance ( d(p_1,p_2) ) between the points ( p_1 ) and ( p_2 )…
\(\sqrt{34}\)
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a circus tent is in the shape of a square pyramid. each edge of the squ…
\(9.1\) m (the fourth option)
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find the area of each of the following shaded regions. assume all arcs …
\(900\pi - 900\)
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in each bok a linde, the segments on the sides can be moved. create the…
First figure: No triangle possible. Second figure: A triangle can be formed.
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use the image to answer the question. the length of the prism is 32 cm,…
\(59.5\) cm
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use the image to answer the question. apply the pythagorean theorem to …
\(15.0\) ft
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the pythagorean theorem in three dimensions practice complete this asse…
\(132.6\)
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write the coordinates of the vertices after a reflection over the y - a…
\(F'(5,1)\), \(G'(0,1)\), \(H'(9,-3)\)
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use the image to answer the question. the pyramid is an arena in memphi…
\(591.6\) ft
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write the coordinates of the vertices after a reflection over the x - a…
\(Q'(1,1)\), \(R'(7,1)\), \(S'(7,9)\), \(P'(1,9)\)
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a. if a circle has a circumference of 12π cm, what is its area? b. if a…
a. \(36\pi\) \(cm^{2}\) b. \(r = \frac{b\sqrt{\pi}}{\pi}\)
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question 4 of 10 you can find a parallel line to a given line using the…
A. True
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write the coordinates of the vertices after a reflection over the y - a…
\(B'(2,1)\), \(C'(2,8)\), \(D'(6,0)\)
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a. if a circle has a circumference of 12π cm, what is its area? b. if a…
\(36\pi\)
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one can find an angle bisector using a compass and straightedge constru…
A. True
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question 2 of 10 which of the following are not techniques used in geom…
C. Drawing line segments, D. Creating arcs and circles with the compass
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find the area of each of the following regular polygons. a. b. a. the a…
\(16\sqrt{3}\space cm^{2}\)
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question 1 of 10 to find the bisector of a given angle using a paper fo…
B. False
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find the area of each of the following regular polygons. a. b. a. the a…
\(54\sqrt{3}\space cm^{2}\)
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joe uses stick - on square carpet tiles to cover his 4 m×3 m bathroom. …
\(1200\)
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enter the correct answer. find the perimeter. regular pentagon 4 in use…
\(20\) inches
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find the cost of carpeting the following rectangular rooms. a. dimensio…
\(421.52\)
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enter the correct answer. find the perimeter. use a
36
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use the image to answer the question. given ( l = 30 ) in., ( w = 20 ) …
\(40.3\)
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part 3 - in the figure ba and bc are opposite rays, and ∠abf is bisecte…
\(25\)
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use the image to answer the question. find the length of the height of …
12 cm
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enter the correct answer. 3 in 5 in 5 in 3 in find the perimeter. use a
\(16\) in
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for a parallelogram whose sides are 26 cm and 23 cm, which of the follo…
For part (b): B. The statement is false. One of the side lengths given is not necessarily the height of the parallelogram, so the area is not necessarily the product of the two va…
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if a line is perpendicular to a line segment, what angle do they form a…
A. \(90^{\circ}\)
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for a parallelogram whose sides are 26 cm and 23 cm, which of the follo…
a. C. The statement is true. The height is unknown, but it is needed to determine the area. b. B. The statement is false. One of the side lengths given is not necessarily the heig…
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there are six ______ triangles in a regular hexagon. a. obtuse b. equil…
B. equilateral
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for a parallelogram whose sides are 26 cm and 23 cm, which of the follo…
C. The statement is true. The height is unknown, but it is needed to determine the area.
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the ancient greeks required a straightedge and protractor to construct …
B. False
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the greeks had no way of bisecting an angle, because it required a rule…
B. False
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in the straightedge and compass construction of the equilateral triangl…
D. \(\overline{AC}\) and \(\overline{AB}\) are both radii of \(\odot A\)
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because of the tools they were limited to, the greeks were only able to…
B. False
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question 4 of 10 which of the following tools did the greeks not use in…
C. Straightedge, D. Tracing paper
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bruce wants to ship a fishing pole to his brother. the longest cylinder…
\(85\)
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identify and graph the polar equation. ( r = 4 + 4 cos \theta ) which g…
C.
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which of the following are among the five basic postulates of euclidean…
A. Any straight line segment can be extended indefinitely, B. A straight line segment can be drawn between any two points
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a camping tent is in the shape of a square pyramid. the sides of the te…
\(14.5\)
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a camping tent is in the shape of a square pyramid. the sides of the te…
\(9.9\)
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the height of the pyramid is 21.5 meters. use the interactives to revie…
\(16.4\)