幾何
三角形、圓、解析幾何與證明題。
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2. find the equation of the circle with center (2,3) and radius 5 formu…
\((x - 2)^2+(y - 3)^2=25\)
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use the diagram and the given angle measure to find the other three mea…
\(m\angle1 = 146^{\circ}\) \(m\angle3 = 146^{\circ}\) \(m\angle4 = 34^{\circ}\)
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graph the solution to the following inequality on the number line. $x(x…
The solution of the inequality \(x(x - 7)\leq0\) is the interval \([0,7]\). On the number - line, we draw a solid circle at \(x = 0\) and \(x = 7\) and shade the region between th…
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transitive property of angle congruence m∠1 + m∠2 m∠1 = m∠3 definition …
2. \(m\angle1 + m\angle2 = 90^{\circ}\); \(m\angle1 + m\angle3=90^{\circ}\) 3. Substitution Property 4. \(m\angle2=m\angle3\) 5. Definition of congruent angles
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2. a recipe for sparkling grape juice calls for $1\\frac{1}{2}$ quarts …
a. \(18\) quarts b. \(\frac{15}{8}\) quarts c. Approximately \(66.67\) quarts of sparkling water and \(33.33\) quarts of grape juice.
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a gautam 1. a necktie, or simply a tie, is a long piece of cloth that u…
A. "People didn't always wear a tie, and the ways the fashion of tie changed is interesting." (paragraph 1)
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12. draw the angle with the given measure in standard position. \\( \\f…
For \(\frac{17\pi}{6}\): Quadrant - II, Reference angle=\(\frac{\pi}{6}\) For \(-654^{\circ}\): Quadrant - I, Reference angle = \(66^{\circ}\)
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the circle is inscribed in triangle aec. which are congruent line segme…
\(\overline{EF}\) and \(\overline{ED}\), \(\overline{CB}\) and \(\overline{CD}\)
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circle c is inscribed in triangle jeg. what is the perimeter of triangl…
70 units
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name: teacher: short answer 48. graph the circle. $(x - 4)^2+(y + 3)^2 …
For the circle \((x - 4)^2+(y + 3)^2 = 9\): center \((4,-3)\), radius \(3\). For the absolute - value function \(g(x)=\frac{2}{3}|x - 1|+2\): vertex \((1,2)\), vertical compressio…
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which equation would you use to solve for x?* solve for x. (just put th…
\(10\)
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22. find the exact value of \\( \\sin \\theta \\), \\( \\cos \\theta \\…
- **Problem 22**: \(\sin=\frac{4}{5}\), \(\cos=-\frac{3}{5}\), \(\tan=-\frac{4}{3}\) - **Problem 23**: \(\sin=-\frac{15}{17}\), \(\cos=-\frac{8}{17}\), \(\tan=\frac{15}{8}\) - **P…
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7.) write a conjecture using this information provided. if an angle is …
Angle \(A\) is not acute.
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42. write the equation in the standard form of a circle $(x - h)^2+(y -…
A. \((2,3)\)
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what is the value of x? $x = 2$ $x = 3$ $x = 4$ $x = 6$
\(x = 2\)
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which equation results from applying the secant and tangent segment the…
\(x(2x + 4)=(x + 2)^{2}\)
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name:______ teacher:______ hour:______ ______ 36. solve ( x^{2}+10 x = …
36. B. \(x = 3\) and \(x=-13\) 37. D. \((x + 2)^{2}-11\), Vertex: \((-2,-11)\) 38. A. \(16\) 39. C. \((x - 7)^{2}+(y + 10)^{2}=4\) 40. C. \(C(-5,1),r = 6\) 41. A. \(r = 5\)
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6.) write a conjecture using this information. rectangles are parallelo…
The opposite sides of rectangles are parallel.
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20. convert the given angle measure from degrees to radians. - 124° 21.…
- For \(-124^{\circ}\), the angle in radians is \(-\frac{31\pi}{45}\) radians. - For \(\frac{3\pi}{8}\) radians, the angle in degrees is \(67.5^{\circ}\)
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in the diagram, the length of the external portion of the secant segmen…
The length of the external portion of the secant segment \(\overline{PN}\) is \(32\). The length of the entire secant segment \(\overline{LN}\) is \(36\). The value of \(x\) is \(…
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measure of angle r. (just put the number!!!!) *
45
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be is 2 units longer than ae, de is 5 units longer than ae, and ce is 1…
\(11\)
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find the measure of angle q. (just put the number!!!!) *
45
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chords \\( \\overline { a c } \\) and \\( \\overline { b d } \\) inters…
\(2.5\)
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15. determine one positive and one negative coterminal angles for $752^…
One positive coterminal angle is \(392^{\circ}\), one negative coterminal angle is \(-328^{\circ}\) ### 16. Determine one positive and one negative coterminal angle for \(\frac{\p…
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2. a recipe for sparkling grape juice calls for $1\\frac{1}{2}$ quarts …
a. \(18\) quarts b. \(\frac{15}{8}\) quarts c. Sparkling water: \(66\frac{2}{3}\) quarts, Grape juice: \(33\frac{1}{3}\) quarts
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what are the coordinates of the centroid of \\( \\triangle pqr \\)? sim…
\((\frac{1}{3},5)\)
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proving a theorem complete the paragraph proof for the congruent comple…
\(\angle1\) and \(\angle2\) are complementary, and \(\angle1\) and \(\angle3\) are complementary. By the definition of \(\text{complementary}\) angles, \(m\angle1 + m\angle2 = 90^…
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the side lengths of triangle abc are 3, 4, and 5. which set of ordered …
\((-3,1),(-3,5),(0,5)\)
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select the correct answer from each drop - down menu. if angle b is con…
\(BC = FD\)
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5 select the correct answer from each drop - down menu. if, then (\tria…
First blank: angle \(B\) is congruent to angle \(E\) Second blank: angle \(A\) is congruent to angle \(E\)
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what is the image of the point (-3,-1) under the translation that shift…
\((-5,3)\) (the second option)
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4 select the correct answer from each drop - down menu why are triangle…
reflecting, across line segment \(AD\)
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select the correct answer from each drop - down menu. why are triangles…
The first drop - down: reflecting; the second drop - down: over the line \(AD\)
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dilation ( d_{q,\frac{2}{5}} ) was performed on a rectangle. how does t…
The image is a reduction because \(0 < n<1\); The side lengths of the image are two - fifths the size of the corresponding side lengths of the pre - image; The base of the image i…
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capítulo 2b fecha demonstrative adjectives (p. 114) demonstrative adjec…
**Part A** 1. these 2. this 3. those 4. that (over there) 5. that **Part B** 1. este 2. esos 3. aquellas 4. esta 5. esa
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line segment ab was dilated to create line segment ab using the dilatio…
13.6 units
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is quadrilateral jklm the result of a dilation of quadrilateral abcd by…
No, because sides \(JK\) and \(ML\) are not twice as long as sides \(AB\) and \(DC\) (also, not all corresponding sides are in the ratio of \(2\)). So the correct option is “No, b…
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triangle cde is translated down and to the right, forming triangle cde.…
\(\triangle DCE\cong\triangle D'C'E'\) (the second option)
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rectangle wxyz was dilated using the rule $d_{z,\\frac{12}{5}}$. what i…
12 units
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the scale factor of the dilation of segment hg is $\frac{1}{6}$. if pg …
3 units
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6. determine what transformations occurred and in what order: xyz is fi…
6. \( XYZ\) is first rotated to \( X'Y'Z'\), then reflected to \( X''Y''Z''\), and finally translated to \( X'''Y'''Z'''\). 7. Rotation. 8. Reflection. 9. Translation. 10. | Trans…
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in the diagram, \\( \\overline { a b } \\cong \\overline { a d } \\) an…
\(\angle BAC\cong\angle DAE\)
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according to the diagram, which are congruent? check all that apply. △a…
\(\triangle ABC\) and \(\triangle DFE\), \(\overline{AB}\) and \(\overline{DF}\)
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quadrilateral abcd is reflected over line segment y as shown, resulting…
\(7\) in. (Since \(AB = TU\) due to reflection - congruence property)
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triangle trs is rotated about point x, resulting in triangle bac. if ab…
\(20\) ft (the third option)
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unit 6 lesson 2 homework date period a sequence of transformations of q…
1. rotated \(90^{\circ}\) clockwise about the origin 2. \(2\); \((0,0)\) 3. | Transformation | Algebraic Description | |--|--| | Rotation | \((x,y)\to(y, - x)\) | | Dilation | \((…
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triangle tvw is dilated according to the rule $d_{0,\frac{3}{4}}(x,y)\\…
T'(-3, 6) and V'(0, 3)
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find df. write your answer as an integer or as a decimal rounded to the…
\(4.6\)
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quadrilateral abcd is translated down and left to form quadrilateral ol…
Since \(AB = 6\) units and \(AB\) and \(LO\) (or \(OL\)) are corresponding sides (because of translation), \(LO=6\) units. So the answer is \(6\) units.
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three quadrilaterals exist such that g h j k ≅ a s d f and g h j k ≅ v …
\(\overline{KJ}\)
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find wx. write your answer as an integer or as a decimal rounded to the…
\(7.2\)
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in exercises 1 and 2, find ( mangle1 ) and ( mangle2 ). 1.
\(m\angle1 = 41^{\circ}\), \(m\angle2 = 139^{\circ}\)
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is rectangle efgh the result of a dilation of rectangle abcd with a cen…
Yes, because corresponding sides are parallel and have lengths in the ratio \(\frac{4}{3}\).
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triangle rst was dilated by a scale factor of $\frac{1}{2}$. the image,…
\(16\) units (the third option)
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quadrilateral j k l m was dilated according to the rule d_{o, \\frac{1}…
\((0, - 4)\)
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quadrilateral lmno is reflected over the line as shown, resulting in qu…
\(\overline{CB}\) (the third option).
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triangle pqr is located entirely in quadrant ii. which transformation m…
A. reflection over the \(x\) - axis
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which pair of rigid transformations will map △efg to △efg? a. a reflect…
D. A rotation of \(90^{\circ}\) counterclockwise around the origin, then a reflection across the \(x\) - axis
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figure 1 is a rhombus and figure 2 is a rectangle. neither figure is a …
D. a rotation of \(180^{\circ}\) about the center of the figure
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which transformation will always carry the figures onto itself? select …
D. a rotation of 180° clockwise about point P
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topic 2 composing and decomposing functions skills practice continued p…
| Radius of Cylinder (in.) | Height of Cylinder (in.) | Base Area of Cylinder (in.²) | Volume of Cylinder (in.³) | |---|---|---|---| | 0 | 0 | 0 | 0 | | 0.5 | 1.5 | 0.785 | 1.1775…
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which statement explains why the figures represent a translation? a all…
B. All the points move the same direction and number of spaces.
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parallelogram fghj was dilated and translated to form similar parallelo…
\(\frac{1}{4}\)
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a sequence of rigid motions was performed on △abc that maps to △rst. wh…
C. rotate \(\triangle ABC\) \(90^{\circ}\) clockwise about the origin
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is (\triangle abc) congruent to (\triangle uvw)? justify your answer us…
Yes. A translation and a reflection can map \(\triangle ABC\) onto \(\triangle UVW\).
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point f is the image when point f is reflected over the line x = -2 and…
C. \((1,7)\)
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rectangle pqrs is reflected across the x - axis. the image is pqrs. whi…
A. reflection across the y - axis followed by a reflection across the x - axis
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in exercises 1 and 2, 1. 41° 1 2 2.
\(m\angle1 = 41^{\circ}\), \(m\angle2=139^{\circ}\)
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practice a identifying varied sentence beginnings read each sentence. c…
1. prepositional phrase 2. infinitive phrase 3. adverb 4. noun phrase 5. participial phrase 6. noun 7. gerund phrase 8. prepositional phrase 9. infinitive phrase
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the area of a rectangle is 66 m², and the length of the rectangle is 1 …
Length: \(12\) m, Width: \(5.5\) m
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the length of a rectangle is 10 ft less than three times the width, and…
Length: \(11\) ft, Width: \(7\) ft
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the area of a rectangle is 27 yd², and the length of the rectangle is 3…
Length: \(6\) yd Width: \(4.5\) yd
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the area of a rectangle is 77 ft², and the length of the rectangle is 3…
Length: \(14\) ft, Width: \(5.5\) ft
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let ( vec{p}=overrightarrow{g e} ) where ( e(0,5) ) and ( g(-4,-3) ). w…
\(63^{\circ}\)
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find xy. write your answer as an integer or as a decimal rounded to the…
\(XY = 6.0\)
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review the graph what are the characteristics of the vector shown? magn…
magnitude of \(8\) and direction angle equal to \(0^{\circ}\)
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consider the points q(23,48) and r(7,62). what is the component form of…
\(\langle-16,14 angle\) (corresponding to the second option)
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vectors and their components quiz: complete consider the points ( q(23,…
\(\langle-16,16 angle\) (corresponds to the second option \((-16,16)\))
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review the graph what is the approximate direction angle of the vector …
D. 243°
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vectors and their components quiz complete 1 review the graph. which st…
The magnitudes are 10, and the direction angles are about \(18^{\circ}\)
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3 determine the value of x in each diagram. (a) (b) (c) (d)
a. \(x = 27\) b. \(x = 108\) c. \(x = 30\) d. \(x = 14\)
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*84.) for each regular polygon below, list 5 different numbers of degre…
For #5: (4) \(252^{\circ}\) For #7: a. \(45^{\circ}\), c. \(225^{\circ}\)
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show all work and annotations for full credit **#1.) determine the mini…
1. Pentagon: \(72^{\circ}\), Non - agon: \(40^{\circ}\), Equilateral triangle: \(120^{\circ}\) 2. The equilateral triangle is not mapped onto itself after a \(180^{\circ}\) rotati…
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use the law of detachment or the law of syllogism to reach a valid conc…
10. Alex will have a new personal record. 11. No conclusion. 12. If the measures of two angles in a triangle are \(30^{\circ}\) and \(60^{\circ}\), then it is a right triangle.
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a bicycle wheel has a radius of 20 cm. if the wheel rotates through an …
1. d. \(10\mathrm{cm}\) 2. b. \(\pi\) radians 3. d. \(ArcLength = Radius\times CentralAngle\) (in radians) 4. d. \(54\) square inches
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what is the area of a sector formed by a central angle of π/3 radians i…
1. c. \(6\pi\) square cm 2. b. Radians are independent of the circle's radius; c. Radians directly relate the arc length to the radius 3. a. \(12\pi\) square cm 4. a. Sector Area …
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which number would go outside the circles? a. 2 b. -7 c. 0 d. 0.3
D. \(0.3\)
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22. if △pqr and △stu are congruent by asa, and ∠p ≅ ∠s and ∠q ≅ ∠t, whi…
a. \(PQ\) and \(ST\) # 23.
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15. what does the sas criterion state for triangle congruence? a. three…
15. B. Two sides and the included angle 16. C. \(AB = 3\), \(BC = 5\), \(AC = 6\) 17. C. Angle with Given Size 18. A. The angle between the two given sides 19. B. Two pairs of con…
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8. if \\( \\triangle p q r \\sim \\triangle s t u \\) and \\( p q=8 \\m…
d. Circumcenter # 10.
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which statement is false? a uv = uv b uv = uv c uu = uu d uu = vv
C. \(UU'=UU''\)
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which congruence transformation maps stu to pqr? a. rotation 90 degrees…
D. reflection across the y - axis
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if possible, write an inequality to describe the restrictions on x and …
\(0 < x < 37\) by the hinge theorem
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13 15 37° x°
\(53\)
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4. the shaded area on the grid represents the part of a rectangular wal…
\(47.5\%\)
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14. what is the central angle of a sector in radians if its area is hal…
d. \(\pi\) radians
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12. if a central angle measures π/4 radians and the radius of the circl…
b. \(\frac{5\pi}{2}\space cm\)
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11. which of the following angles is equivalent to π/6 radians? a. π/12…
C. 30 degrees
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10. what is the formula for calculating sector area in a circle? a. sec…
A. Sector Area \(= 0.5\times Radius^{2}\times Central\ Angle\ (in\ radians)\)