幾何
三角形、圓、解析幾何與證明題。
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4.1 intro to circles a chord is always a diameter. true false
False
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1. draw the image of \\( \\triangle a b c \\) after a translation along…
1. (After performing the coordinate - based translation as described in Step 2, draw the triangle with vertices \(A'\), \(B'\), \(C'\)). 2. The vector \(\vec{v}\) moves \(\triangl…
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write the equation of the ellipse in standard form, and identify the en…
Equation in standard form: \(\frac{(x + 2)^{2}}{4}+\frac{(y - 1)^{2}}{16}=1\). Endpoints of major axis: \((-2,5)\), \((-2,-3)\). Endpoints of minor axis: \((0,1)\), \((-4,1)\). Fo…
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the image above is an example of congruent circles. true false
False
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which rule explains why these scalene triangles are similar? sss sas aa…
none of the above; the triangles cannot be proven similar
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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write the equation of the ellipse in standard form, and identify the en…
Equation in standard form: \(\frac{(x - 2)^2}{4}+\frac{(y - 1)^2}{16}=1\) End points of major axis: \((2,5),(2,-3)\) End points of minor axis: \((4,1),(0,1)\) Foci are at: \((2,1 …
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graph the equation: $\\frac{(x - 4)^2}{4}+\\frac{(y + 1)^2}{1}=1$
Plot the center \((4,-1)\), vertices \((2,-1)\) and \((6,-1)\), co - vertices \((4,0)\) and \((4,-2)\), and then draw the ellipse passing through these four points.
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graph the equation: $\\frac{x^{2}}{4}+\\frac{y^{2}}{16}=1$
Sketch an ellipse centered at the origin with vertices $(0,4)$ and $(0,-4)$ and co - vertices $(2,0)$ and $(-2,0)$.
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using the graph, determine the coordinates of the y - intercept of the …
\((0,6)\)
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question using the graph, determine the coordinates of the y - intercep…
\((0,8)\)
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write the equation of the ellipse in standard form, and identify the en…
Equation in standard form: \(\frac{x^{2}}{4}+\frac{y^{2}}{25}=1\) Endpoints of major axis: \((0,5),(0, - 5)\) Endpoints of minor axis: \((2,0),(-2,0)\) Foci are at: \((0,\sqrt{21}…
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4.3 secants and tangents in the image above, ( ad = 9 ) and ( be = 12 )…
\(12\)
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4.2 central and inscribed angles triangle bcd is isosceles and ( bccong…
\(130^{\circ}\)
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the dimensions of a rectangle are \\( \\sqrt { 50 a ^ { 3 } b ^ { 2 } }…
The student incorrectly simplified \(10ab\sqrt{2a}+20a\sqrt{2a}\).
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3.2. quadrilateral abcd is drawn with bc = 235m and ab = 90.52m. it is …
3.2.1. \(BD\approx164.82m\) 3.2.2. \(CD\approx177.0m\)
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find the equation of the parabola with:vertex (0,0); focus (0,5)
\(x^{2}=20y\)
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suppose that a satellite receiver with a parabolic cross - section is 4…
\(9.1875\)
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determine the equation in standard form of the parabola that satisfies …
\((x + 5)^2=-4(y + 2)\)
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determine the equation in standard form of the parabola that satisfies …
\((y + 5)^2=-12(x - 2)\)
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determine the equation in standard form of the parabola that satisfies …
\((y + 5)^2=12(x - 2)\)
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determine the equation in standard form of the parabola that satisfies …
\(x^{2}=-12y\)
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triangle cde is translated down and to the right, forming triangle cde.…
\(\triangle EDC\cong\triangle C'E'D'\) (the fourth option)
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quadrilateral abcd is reflected over line segment y as shown, resulting…
\(7\) in.
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triangle ghj is rotated 90° about point x, resulting in triangle str. w…
\(\overline{TS}\cong\overline{HG}\) (i.e., the option \(\overline{TS}\cong\overline{HG}\) is correct)
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quadrilaterals wxyz and badc are congruent. in addition, \\( \\overline…
\(20\mathrm{cm}\)
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each trapezoid in the figure below is congruent to trapezoid abdc. what…
32 cm
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triangle xyz was translated up 2 and right 3 units, creating triangle c…
\(\overline{YZ}\cong\overline{AB}\)
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the figure was created by repeatedly reflecting triangle nmp. what is t…
\(48\) in.
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rectangle abcd is congruent to rectangle urst. what is the area of rect…
\(135\space mm^{2}\) (the third option)
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triangle trs is rotated about point x, resulting in triangle bac. if ab…
\(10\) ft (since \(RS = AB\) and \(AB = 10\) ft)
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three figures exist such that ( abcdcong ghij ) and ( bcdacong rstu ). …
\(8\mathrm{cm}\) (the second option)
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quadrilateral abcd is rotated 145° about point t. the result is quadril…
\(ABCD\cong A'B'C'D'\)
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△qrp ≅ △yxz. what is the perimeter of △yxz? 3.5 in. 5.3 in. 6.4 in. 7.8…
\(7.8\) in.
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three figures exist such that ( abcdcong gh ij ) and ( bcdacong rstu ).…
\(8\mathrm{cm}\)
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triangle abc is congruent to triangle xyz. in \\( \\triangle abc \\), \…
36 cm
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quadrilateral abcd is reflected over line segment y as shown, resulting…
\(7\) in.
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in the northeastern united states, autumn is particularly colorful. lea…
The main, or central, idea of the passage is that cherry blossoms have symbolic meanings (change and beauty, new beginnings, and the circle of life) which represent a passage (in …
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for the parabola: $y^{2}+4y - 12x + 16 = 0$ find the vertex and focus. …
Vertex: \((1,-2)\) Focus: \((4,-2)\) Directrix: \(x=-2\)
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for the parabola: $(x - 2)^2 = 8(y - 1)$ find the vertex and focus. mak…
Vertex: \((2,1)\) Focus: \((2,3)\) Directrix: \(y=-1\)
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which angles are alternate interior angles? ∠qro and ∠nor ∠qro and ∠por…
\(\angle QRO\) and \(\angle NOR\)
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y²=8(x−3) find the vertex and focus. make sure to enter your answers as…
Vertex: \((3,0)\) Focus: \((5,0)\) Directrix: \(x = 1\)
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which angles are alternate exterior angles? ∠utw and ∠vwt ∠str and ∠stw…
\(\angle VWY\) and \(\angle UTR\)
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which angles are alternate interior angles? ∠mnl and ∠rqn ∠mnq and ∠pqn…
\(\angle ONQ\) and \(\angle PQN\)
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which angles are alternate exterior angles? ∠utv and ∠pqt ∠utv and ∠pqo…
\(\angle UTV\) and \(\angle PQO\)
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which angles are alternate interior angles? ∠wvt and ∠utw ∠wvt and ∠xwy…
\(\angle WVT\) and \(\angle STW\)
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which angles are alternate interior angles? ∠qru and ∠vur ∠qru and ∠tur…
\(\angle QRU\) and \(\angle VUR\)
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which angle is vertical to ∠6?
\(\angle2\)
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which angle is supplementary to \\( \\angle 3 \\)?
\(\angle6\)
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for the parabola: $y^{2}=-20x$ find the vertex and focus. make sure to …
Vertex: \((0,0)\) Focus: \((-5,0)\) Directrix: \(x = 5\)
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look at this angle: what is the vertex?
\(X\)
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for the parabola: $y^{2}=12x$ find the vertex and focus. make sure to e…
Focus: \((3,0)\) Directrix: \(x = - 3\)
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name this angle: look at this angle:
\(\angle ECD\) or \(\angle DCE\)
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look at this angle: what is the vertex? save answer
\(X\)
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look at this angle: what is the vertex? save answer
\(X\)
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the measure of an angle is 52.2°. what is the measure of its complement…
\(37.8^{\circ}\)
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the measure of an angle is 51.7°. what is the measure of its complement…
\(38.3^{\circ}\)
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the measure of an angle is 126.1°. what is the measure of its supplemen…
\(53.9\)
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what is the measurement of this angle?
\(55\)
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what is the measurement of this angle? save answer
\(60^{\circ}\)
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which angle is supplementary to ∠1? ∠2 ∠5 ∠4 ∠3
\(\angle2\)
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3 - 58. assume that each pair of figures below is similar. write a simi…
a. \(ABCD\sim EL OV\) b. \(RIGHT\sim WRONG\) c. \(\triangle DGO\sim\triangle ATC\)
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which angle is congruent to ∠2? ∠5 ∠3 ∠4 ∠1
\(\angle5\)
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which angle is complementary to ∠5? ∠1 ∠4 ∠3 ∠2
\(\angle3\)
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which angle is congruent to ∠3? save answer ∠1 ∠2 ∠5 ∠4
\(\angle5\)
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which angle is complementary to ∠6? save answer ∠5 ∠1 ∠3 ∠2
\(\angle3\)
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3.1. in the figure below, acute - angled \\( \\delta a b c \\) is drawn…
\(c^{2}=a^{2}+b^{2}-2ab\cos C\) is proved.
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a right triangle with a hypotenuse of sqrt{205} has an area of 39 squar…
The lengths of the other two sides are \(6\) inches and \(13\) inches.
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3 - 54. decide if each pair of triangles below is similar. if the trian…
a. Similar (AA criterion). Dilation and translation. b. Similar (AA criterion). Dilation and translation. c. Not similar (side - length ratios not equal). d. Not similar (no two p…
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the measure of an angle is 52.2°. what is the measure of its complement…
\(37.8\)
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8 40° 10 ft x = ft
$13.05$
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the measure of an angle is 126.1°. what is the measure of its supplemen…
\(53.9\)
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what is the measurement of this angle? save answer
\(140\)
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9 5000 ft 26° x = ft
\(11405\)
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which angle is supplementary to ∠1? ∠2 ∠5 ∠4 ∠3
\(\angle2\)
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which angle is congruent to ∠2? ∠5 ∠3 ∠4 ∠1 save answer
\(\angle5\)
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which angle is complementary to ∠5? save answer ∠1 ∠4 ∠3 ∠2
\(\angle2\)
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which angle is congruent to ∠3? save answer ∠1 ∠2 ∠5 ∠4
\(\angle5\)
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which angle is complementary to ∠6? ∠5 ∠1 ∠3 ∠2
\(\angle3\)
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which angle is complementary to ∠6?
\(\angle4\)
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tangent-secant #1 unique id: 1012 this is the only question in this sec…
\(x = 14\)
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exterior angles #1 unique id: 1015 this is the only question in this se…
\(x = 5\)
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question solve for $x$. leave your answer in simplest radical form. ans…
\(x=\sqrt{35}\)
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which figure has a greater area? 71 yd 71 yd 61 yd 88 yd
The pink - colored rectangle has a greater area.
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what is the missing length? area = 6138 mm² p = millimeters
\(93\)
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the circumference of a circle is 20π inches. what is the area? give the…
\(100\pi\)
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the circumference of a circle is 4π meters. what is the area? give the …
\(4\pi\)
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what is the area of this figure? write your answer using decimals, if n…
\(87\)
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what is the missing length? area = 2916 m² p = meters save answer skip …
\(54\)
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find the area. simplify your answer. 2x 6
\(6x\)
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which figure has a greater perimeter? 75 mm 22 mm 22 mm 75 mm 44 mm 93 …
The second figure (the taller rectangle with length \(93\space mm\) and width \(44\space mm\)) has a greater perimeter.
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find the area of this sector if ( r=\frac{2}{3} ) and ( \theta=\frac{pi…
\(\frac{\pi}{27}\)
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what is the ordered pair for the given point? (4,1) (4,5) (0,4) (5,6)
\((4,1)\)
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a ship leaves port a and travels 85 km due west to buoy c. it then adju…
\(29.4^{\circ}\)
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an airplane leaves city a and flies 124 km due north to city b. it then…
\(16.9^{\circ}\)
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a rover on mars leaves station a and travels 22 km due east to sample r…
\(37.1^{\circ}\)
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area of a circle 2 example find the area of a circle with a radius of 6…
1. \(18.49\pi\) in² 2. \(8.41\pi\) ft² 3. \(26.01\pi\) km² 4. \(13.69\pi\) cm² 5. \(46.24\pi\) in² 6. \(86.49\pi\) m² 7. \(73.96\pi\) ft² 8. \(30.25\pi\) km² 9. \(24.01\pi\) m² 10…
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two airplanes leave an airport at the same time. an hour later, the pla…
\(48.3^{\circ}\)
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susan is flying two kites. she has 101 feet of string out to one kite a…
\(60.2\) feet
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critical thinking given △abc~△def and △def~△jkl, is △abc~△jkl? yes no
yes