幾何
三角形、圓、解析幾何與證明題。
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classify the four angles of the quadrilateral. ( angle a ) ( angle b ) …
| | Right | Acute | Obtuse | |--|--|--|--| | \(\angle A\) | \( \bigcirc \) | | | | \(\angle B\) | | \( \bigcirc \) | | | \(\angle C\) | | | \( \bigcirc \) | | \(\angle D\) | | \( …
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target: i can identify and write the equations of parallel lines, inclu…
4) The equation of the line is \(y = - 5\). 5) The equation of the line is \(x = 6\). 6) The equation of the line is \(x=-7\).
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describe each angle. right angle larger than a right angle smaller than…
1. Larger than a right angle 2. Right angle 3. Smaller than a right angle
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geometry a unit 1 (m1t1l1 - 4) test c learning target: i can identify a…
1. - a) Neither. Since \(m_1=-4\), \(m_2 = 4\), \(m_1 eq m_2\) (not parallel) and \(m_1\times m_2=-16 eq - 1\) (not perpendicular) - b) Perpendicular. Since \(m_1=\frac{8}{5}\),…
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△cde is a translation of △cde. write the translation rule. (x,y)→(x+□,y…
\((x,y)\to(x + 11,y+9)\)
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the rectangle ( rstu ) is a dilation of the rectangle ( rstu ). what is…
\(3\)
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by decreasing each dimension by 2 units, the area of a rectangle decrea…
\(50\)
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a coordinate plane is a two - dimensional surface where each point is r…
an ordered pair
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what is the distance between the points (0,0) and (3,4)? a. 3 b. 6 c. 7…
1. **First Question**: - A. \(5\) 2. **Second Question**: - B. \((0,0)\) 3. **Third Question**: - C. \(6\) 4. **Fourth Question**: - C. \(\sqrt{32}\)
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what is the term for the longest side of a right triangle? a. radius b.…
C. Hypotenuse
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find the area. 48 in 18 in a = ? in²
864
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find the area. 23 in 16 in a = ? in²
368
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find the area. 28 ft 16 ft a = ? ft²
448
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find the area. 11 ft 33 ft a = ? ft²
363
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find the area. 27 cm 12 cm a = ? cm²
324
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find the perimeter. 48 in 18 in p = ? in
132
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find the perimeter. 10 ft 4 ft p = ? ft
28
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and 2 blocks north. charica walks 1 block east and 9 blocks north. on t…
The distance between Garrett's house and Chance's house is \(\sqrt{85}\approx9.22\) blocks.
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2. there are three rectangles in a similar set: rectangle a, rectangle …
The scale factor that scales \(C\) to \(A\) is \(92\).
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point a is the point of concurrency of the angle bisectors of \\( \\tri…
\(ZA = 3\mathrm{cm}\)
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point x is the circumcenter of \\( \\triangle abc \\). what is the leng…
\(4.8\mathrm{cm}\)
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given: rs bisects ∠mrq, ∠rms ≅ ∠rqs which relationship in the diagram i…
\(\triangle RMS\cong\triangle RQS\) by AAS.
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in which figure is point g a centroid?
The second figure (the one with triangle \(DEF\)) has point \(G\) as a centroid.
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chang knows one side of a triangle is 13 cm. which set of two sides is …
\(8\) cm and \(9\) cm
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in the diagram below, ( overline{no} ) is parallel to ( overline{kl} ).…
\(18\)
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if triangle rst is an acute triangle, then ( mangle s ) must be less th…
less than \(90^{\circ}\)
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in the diagram below, no is parallel to kl. if lo = 16, mo = 24, and kl…
\(17.6\)
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what is the missing reason in the proof? 1. ∠egf ≅ ∠hgk 1. vert. ∠s are…
ASA
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in the diagram below, \\( \\overline { x y } \\) is parallel to \\( \\o…
\(6\)
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triangle jkl is isosceles. the measure of angle j is 72° and the measur…
Angle L is a base angle and measures \(72^{\circ}\).
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which statements regarding the diagram of \\( \triangle ebc \\) are tru…
B. \(\angle DEC\) is an exterior angle. C. \(\angle ABE\) and \(\angle EBC\) are supplementary angles. E. \(\angle BEC\) is a remote interior angle to exterior \(\angle BCF\).
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triangle knm is shown. what is true about the sides of knm? kn = nm kn …
\(KN = NM\)
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in triangle trs, vz = 6 inches. what is rz? 3 inches 6 inches 12 inches…
\(12\) inches (the third option)
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which angle is an adjacent interior angle to ∠jkm? ∠jkl ∠mkl ∠klm ∠lmk
$\angle MKL$
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use the graph to determine the length of segment lh. enter the coordina…
The length of segment \(LH\) is \(4\) inches.
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point z is the circumcenter of \\( \\triangle lmn \\). which must be tr…
\(\angle ZBM\cong\angle ZCM\)
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5. graph the solution set to the given system of inequalities. x≥0,y≥0 …
The solution set is the intersection of the regions defined by \(x\geq0\), \(y\geq0\), \(y\leq-\frac{1}{2}x + 5\), and \(x\leq5\). Graphically, it is a polygon in the first - quad…
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write the coordinates of the vertices after a reflection over the y - a…
\(C'(7,-8)\), \(D'(3,-8)\), \(E'(3,-1)\), \(F'(7,-1)\)
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the graph represents the potential area of a concrete rectangle, based …
\(y<-\frac{1}{2}(x - 16)^2+32\) (the second option)
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write the coordinates of the vertices after a reflection over the y - a…
\(K'(-9,-1)\), \(L'(-9,5)\), \(M'(-6,-2)\)
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solve for c. 5 3 c c = ? pythagorean theorem: a² + b² = c² round your a…
\(5.83\)
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solve for c. c = ? pythagorean theorem: a² + b² = c² round your answer …
\(20\)
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solve for c. 5 8 c = ? pythagorean theorem: a² + b² = c² round your ans…
\(9.43\)
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7. you extend the sides of a regular octagon as shown in the figure. yo…
Yes. Because \( w\perp y\) and \( x\parallel w\), \( y\parallel z\). Using the theorem that if a line is perpendicular to one of two parallel lines, then it is perpendicular to th…
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solve for c. 7 c 9 c = ? pythagorean theorem: a² + b² = c² round your a…
\(11.40\)
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15. in a right triangle with a hypotenuse of 13 units and one leg of 12…
A. 5 units
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13. a hikers current position is at (300m, 500m, 0m) and the peak is at…
B. 943
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4. your friend claims that you have enough information to determine tha…
Yes, the friend is correct. All the vertical panels (\(a\), \(b\), \(c\), \(d\)) are parallel to each other. We use the theorem that in a plane, if two lines are perpendicular to …
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12. an engineer needs to run a cable from (0, 0, 0) to (10, 8, 15). wha…
D. 18.24
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11. the formula $a^{2}+b^{2}=c^{2}$ is called: a. archimedes principle …
C. Pythagorean Theorem
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find the volume of this sphere. sphere formulas sa = 4πr² v = \\frac{4}…
\(\frac{8788\pi}{3}\) ft³
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6. find all the unknown angle measures in the diagram. justify your ans…
$\angle1 = 15^{\circ}$, $\angle2=15^{\circ}$, $\angle4 = 60^{\circ}$, $\angle5 = 45^{\circ}$
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d. matching. match each sentence with the correct ending. 1. male u.s. …
1. E 2. I 3. A 4. H 5. B 6. J 7. C 8. G 9. F 10. D
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5. write a proof. given \\( \\angle 1 \\cong \\angle 2 \\), \\( c \\par…
Since \(a\perp d\) (from \(a\perp c\) and \(c\parallel d\)) and \(b\perp d\), by the theorem that in a plane, if two lines are perpendicular to the same line, then the two lines a…
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5. write a proof. given \\( \\angle 1 \\cong \\angle 2 \\), \\( c \\par…
By showing \(a\perp c\) (because \(\angle2 = 90^{\circ}\)) and \(b\perp c\) (using the property of parallel lines \(c\parallel d\) and \(b\perp d\)), we conclude \(a\parallel b\) …
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find the volume of this cone. round to the nearest tenth. 10ft 6ft ? ft…
\(301.4\)
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a composite figure is shown. which of the following represents the tota…
\(34.335\) in²
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citizenship: just the facts name: bella a. citizenship checkup. decide …
- **A. Citizenship Checkup** 1. Eligible 2. Citizen 3. Wait 4. Citizen - **B. Which One Doesn’t Belong?** 1. White male property owners (mismatch as it's a socio - economic/gender…
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find the volume of the cone. 12 cm r = 8 cm v = ? cm³ round to the near…
\(803.8\space\text{cm}^{3}\)
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find the volume of this cylinder. round to the nearest tenth. r = 3 cm …
\( 84.8\space\text{cm}^{3} \)
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a quilter created the following shape to use in a block for a new quilt…
\(127\frac{1}{2}\text{ in}^{2}\) (the third option)
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tantila leans a 30 - foot ladder against a wall so that it forms an ang…
\(27.19\) feet
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the parallelogram ( stuv ) is a dilation of the parallelogram ( stuv ).…
\(4\)
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the triangle ( bcd ) is a dilation of the triangle ( bcd ). what is the…
\(\frac{1}{3}\)
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the triangle ( vwx ) is a dilation of the triangle ( vwx ). what is the…
\(3\)
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find the exact value of \\( \\sin y \\) in simplest radical form. answe…
\(\frac{7}{8}\)
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the rectangle fghi is a dilation of the rectangle fghi. what is the sca…
\(2\)
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list the angles of the triangle in order from smallest to largest.
\(\angle M,\angle K,\angle L\)
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list the angles of the triangle in order from smallest to largest. △abc…
E. \(\angle A,\angle C,\angle B\)
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question in △xyz provided, w is a point on yz such that xw is an angle …
C. \(100^{\circ}\)
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find the longest side of \\( \\triangle abc \\), with \\( m \\angle a =…
\(\overline{AB}\)
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the length of a rectangle is x - 5. the width is x + 1. what is the are…
\(x^{2}-4x - 5\)
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list the sides of each triangle in order from shortest to longest. \\( …
D. \(\overline{ML},\overline{MK},\overline{KL}\)
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list the sides of the triangle in order from shortest to longest. note …
\( LK\lt LM\lt KM \)
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the equation ( \tan^{-1}(\frac{8.9}{7.7}) = x ) can be used to find the…
\(49^{\circ}\)
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list the sides of the triangle in order from shortest to longest.
\( PQ, PR, QR \)
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what is the area of triangle dfg? round to the nearest whole square uni…
27 square units
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reflect the figure over the line ( y = - 1 ). plot all of the points of…
Plot the points \((2,3)\), \((4,2)\) and \((8,6)\)
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right triangle relationships and trigonometry the hypotenuse of a ( 45^…
\(2\sqrt{2}\text{ cm}\)
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list the angles of the triangle in order from smallest to largest. note…
\(\angle B,\angle A,\angle C\)
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the diagonal of rectangle abcd measures 2 inches in length what is the …
\(1\) inch
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reflect the figure over the line ( y = 3 ). plot all of the points of t…
Plot the points \((1,1)\), \((3,1)\), \((6,2)\), \((7,-3)\) (assuming the original non - labeled points in the figure have \(x\) and \(y\) coordinates as in the example above. If …
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what are the angle measures of triangle vuw? $m\\angle v = 30^{\\circ}$…
\(m\angle V = 60^{\circ}\), \(m\angle U = 90^{\circ}\), \(m\angle W = 30^{\circ}\) (the option \(m\angle V = 60^{\circ}\), \(m\angle U = 90^{\circ}\), \(m\angle W = 30^{\circ}\) i…
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the hypotenuse of a 45° - 45° - 90° triangle measures 22√2 units. what …
22 units
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list the angles of the triangle in order from smallest to largest. note…
A. \(\angle M,\angle L,\angle K\)
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law of sines (\frac{sin(a)}{a}=\frac{sin(b)}{b}=\frac{sin(c)}{c}) trian…
\(30^{\circ}\)
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can a triangle have sides with the given lengths? explain. a = 2 yd, b …
A. Yes because the sum of the lengths of any two sides is greater than the length of the third side, and this satisfies the triangle inequality theorem.
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which classification best represents a triangle with side lengths 10 in…
acute, because \(10^{2}+12^{2}>15^{2}\)
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can a triangle have sides with the given lengths? explain. 1 ft, 4 ft, …
D. No, because \(1 + 4<9\) contradicts the triangle inequality theorem.
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in which triangle is the value of ( x ) equal to ( \tan^{-1}left(\frac{…
The fourth triangle.
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which equation can be used to find the length of \\( \\overline { a c }…
\((10)\sin(40^{\circ}) = AC\)
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the lengths of two sides of a right triangle are 5 inches and 8 inches.…
\(3.2\) inches
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given: right triangle abc, what is the value of tan(a)?
\(\frac{12}{5}\)
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ight triangle relationships and trigonometry which equation correctly u…
\(y^{2}=9^{2}+19^{2}-2(9)(19)\cos(42^{\circ})\) (the first option in the top - left of the four given options)
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two teams are pulling a heavy chest, located at point x. the teams are …
\(\frac{\sin(A)}{3.2}=\frac{\sin(110^{\circ})}{4.8}\) (the first option in the top - left box)
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triangle abc is a right triangle and cos(22.6°)=12/13. solve for b and …
\(\tan(22.6^{\circ})=\frac{a}{12}\) (the first option in the left - hand side of the right - hand part of the image, assuming the first option in the left is \(\tan(22.6^{\circ})=…
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triangle abc is a sketch of a triangular flower bed that has an area of…
\(40\) feet
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joey is building a frame for a sandbox. the sandbox is going to be a qu…
a rectangle, because angle \(C\) is a right angle
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fall 2025 geometry ii wwva right triangle relationships and trigonometr…
\(KL\approx3.2\) units, \(k\approx3.7\) units
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right triangle relationships and trigonometry what is the measure of \\…
\(55^{\circ}\)